question_answer1) The equation \[8{{x}^{2}}-26x+15=0,\]constant. The unit of a is
A) Dyne \[\cos (\alpha +\beta )\] done clear
B) Dyne \[\frac{627}{725}\] done clear
C) Dyne\[\frac{627}{725}\] done clear
D) Dyne\[a{{\cos }^{3}}\alpha +3a\cos \alpha {{\sin }^{2}}\alpha =m\] done clear
View Answer play_arrowquestion_answer2) If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for \[a{{\cos }^{3}}\alpha +3a{{\cos }^{2}}\alpha \sin \alpha =n,\]is
A) \[{{(m+n)}^{2/3}}+{{(m-n)}^{2/3}}\] done clear
B) \[2{{a}^{3}}\] done clear
C) \[2{{a}^{1/3}}\] done clear
D) \[2{{a}^{2/3}}\] done clear
View Answer play_arrowquestion_answer3) Number of particles is given by \[2{{a}^{3}}\]crossing a unit area perpendicular to X-axis is unit time, where \[\sqrt{5}-\sqrt{6}\] and \[\sqrt{5}+\sqrt{6}\]are number of particles per unit volume for the value of x meant to \[\sqrt{5}\pm \sqrt{6}\]and \[5\pm \sqrt{6}\]. Find dimensions of D called as diffusion constant.
A) \[2x+3y-14=0\] done clear
B) \[\frac{7}{\sqrt{5}}\] done clear
C) \[\frac{7}{\sqrt{13}}\] done clear
D) \[\sqrt{5}\] done clear
View Answer play_arrowquestion_answer4) A body starts from the origin and moves along the x-axis such that velocity at any instant is given by \[\sqrt{13}\]where ( is in second and velocity is in m/s. What is the acceleration of the particle, when it is 2m from the origin?
A) 28 m/s2 done clear
B) 22 m/s2 done clear
C) 12 m/s2 done clear
D) 10 m/s2 done clear
View Answer play_arrowquestion_answer5) The acceleration-time graph of a body is shown below The most probable velocity-time graph of the body is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer6) Two seconds after projection, a projectile is travelling in a direction inclined at 30? to the horizontal. After one more sec, it is travelling horizontally, the magnitude and direction of its velocity are
A) \[\frac{x}{a}+\frac{y}{b}=1\] done clear
B) \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}},\] done clear
C) \[{{x}^{2}}+{{y}^{2}}-4x-12=0\] done clear
D) \[{{x}^{2}}+{{y}^{2}}4x-12=0\] done clear
View Answer play_arrowquestion_answer7) The kinetic energy & of a particle moving along a circle of radius R depends on the distance covered. It is given as \[8\sqrt{3}\]where a is a constant. The force acting on the particle is
A) \[4\sqrt{2}\] done clear
B) \[16\sqrt{3}\] done clear
C) 2as done clear
D) \[16\sqrt{2}\] done clear
View Answer play_arrowquestion_answer8) Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, then tension \[y-\sqrt{3}x+3=0\]
A) 1 N done clear
B) 5 N done clear
C) 8 N done clear
D) 10 N done clear
View Answer play_arrowquestion_answer9) The acceleration of block B in the figure will be
A) \[{{y}^{2}}=x+2\] done clear
B) \[P=(\sqrt{3},0)\] done clear
C) \[\frac{4(2-\sqrt{3})}{3}\] done clear
D) \[\frac{4(\sqrt{3}+2)}{3}\] done clear
View Answer play_arrowquestion_answer10) A body A of mass 1 kg rests on a smooth surface. Another body B of mass 0.2 kg is placed over A as shown. The coefficient of static friction between A and B is 0.15. B will begin to slide on A, if A is pulled with a force greater than
A) 1.764N done clear
B) 0.1764 N done clear
C) 0.3 N done clear
D) It will not slide for any F done clear
View Answer play_arrowquestion_answer11) A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin is \[\frac{4\sqrt{3}}{3}\]. Here, k and a are positive constants. For \[\frac{2(\sqrt{3}+2)}{3}\] the functional from of the potential energy\[{{y}^{2}}=4ax\]of the particle is
A) done clear
B) done clear
C) done clear
D) We know \[[{{M}^{0}}{{L}^{2}}{{T}^{-1}}]\] \[(4{{t}^{3}}-2t),\]\[2\sqrt{20}m/s,60{}^\circ \] \[20\sqrt{3}m/s,60{}^\circ \]\[6\sqrt{40}m/s,30{}^\circ \] \[40\sqrt{6}m/s,30{}^\circ \]We get U = 0 at x = 0 and \[KE=a{{s}^{2}},\] Also we get U = negative for \[2a\frac{{{s}^{2}}}{R}\] From the given function we can see that F = 0 at x = O./.e., slope of U-x graph is zero at x = 0. done clear
View Answer play_arrowquestion_answer12) Four thin rods of same mass M and same length I, form a square as shown in figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is
A) \[\frac{{{x}^{2}}}{4}+\frac{4{{y}^{2}}}{7}=1\] done clear
B) \[\left( \frac{1}{2},2 \right)\] done clear
C) \[\sqrt{5}\] done clear
D) \[\sqrt{12}\] done clear
View Answer play_arrowquestion_answer13) A wheel is rotating with an angular speed of 20 rad/s. It is stopped to rest by applying a constant torque in 4s. If the moment of inertia of the wheel about its axis is 0.20 kg/m2, then the work done by the torque in two seconds will be
A) 10 J done clear
B) 20 J done clear
C) 30 J done clear
D) 40 J done clear
View Answer play_arrowquestion_answer14) The strain stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that
A) elasticity of wire P is maximum done clear
B) elasticity of wire 0 is maximum done clear
C) tensile strength of R is maximum done clear
D) None of the above is true done clear
View Answer play_arrowquestion_answer15) Several spherical drops of a liquid of radius r coalesce to form a single drop to radius R. If T is surface tension and V is volume under consideration, then the release of energy is
A) \[\frac{7}{2}\] done clear
B) \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{5}=1\] done clear
C) \[\frac{27}{4}\] done clear
D) \[\frac{27}{2}\] done clear
View Answer play_arrowquestion_answer16) Two substances of densities \[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]and \[{{y}^{2}}=4ax.\]are mixed in equal volume and the relative density of mixture is 4. When they are mixed in equal masses, the relative density of the mixture is 3. The values of \[{{y}^{2}}=(x-a){{x}^{3}}\] and \[{{y}^{2}}(x-a)={{x}^{3}}\]are
A) \[{{x}^{2}}(x-a)={{x}^{3}}\]and \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{\sin x}}-1}{x}\] done clear
B) \[(p\wedge q)\vee (q\Leftrightarrow p)\]and \[\left| \begin{matrix} {{e}^{a}} & {{e}^{2a}} & {{e}^{3a}}-1 \\ {{e}^{b}} & {{e}^{2b}} & {{e}^{3a}}-1 \\ {{e}^{c}} & {{e}^{2c}} & {{e}^{3c}}-1 \\ \end{matrix} \right|\] done clear
C) \[fog=|\sin x|\]and \[gof={{\sin }^{2}}\sqrt{x},\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer17) The pressure p, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2p, volume V/4 and temperature 2T, then the ratio of the number of molecules in the jar A and B will be
A) 1:1 done clear
B) 1:2 done clear
C) 2:1 done clear
D) 4:1 done clear
View Answer play_arrowquestion_answer18) Two identical containers each of volume \[f(x)=\sqrt{\sin x},g(x)={{x}^{2}}\] are joined by a small pipe. The containers contain identical gases at temperature \[f(x)=|x|,g(x)=\sin x\] and pressure \[f(x)=\sqrt{x},g(x)={{\sin }^{2}}x\]. One container is heated to temperature \[f(x)=\sin \sqrt{x},g(x)={{x}^{2}}\]while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature \[f:R\to R\]
A) \[f(x)=\frac{x}{\sqrt{1+{{x}^{2}}}},\] done clear
B) \[\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
C) \[\frac{x}{\sqrt{1+3{{x}^{2}}}}\] done clear
D) \[f(x)=\frac{{{a}^{x}}+{{a}^{-x}}}{2}\] done clear
View Answer play_arrowquestion_answer19) An experiment is carried on a fixed amount of gas at different temperature and at high pressure such that it deviates from the ideal gas behaviour. The variation of\[f(x+y)+f(x-y)\] with p is shown in the diagram. The correct variation will correspond to
A) Curve A done clear
B) Curve B done clear
C) Curve C done clear
D) Curve D done clear
View Answer play_arrowquestion_answer20) Liquid is filled in a flask upto a certain point. When, the flask is heated, the level of the liquid
A) immediately starts increasing done clear
B) initially falls and then rises done clear
C) rises abruptly done clear
D) falls abruptly done clear
View Answer play_arrowquestion_answer21) Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperature. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of the straight rod in a given time is
A) \[=kf(x)f(y),\] done clear
B) 1 : 2 done clear
C) \[{{\tan }^{-1}}\left( \frac{a}{x} \right)+{{\tan }^{-1}}\left( \frac{b}{x} \right)=\frac{\pi }{2},\] done clear
D) 3 : 2 done clear
View Answer play_arrowquestion_answer22) Two particles executes SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions. Each time their displacement is half of their amplitude. The phase difference between them is
A) 30? done clear
B) 60? done clear
C) 90? done clear
D) 120? done clear
View Answer play_arrowquestion_answer23) In the following circuit reading of voltmeter V is
A) 12V done clear
B) 8V done clear
C) 20V done clear
D) 16V done clear
View Answer play_arrowquestion_answer24) The amount of work done in increasing the voltage across the plates of a capacitor from 5V to 10V is W. The work done in increasing it from 10 V to 5 V will be
A) 0.6 W done clear
B) 1W done clear
C) 1.25W done clear
D) 1.67W done clear
View Answer play_arrowquestion_answer25) The de-Broglie wavelength of a neutron at 27?C is \[\sqrt{ab}\]. What will be its wavelength at 927? C?
A) \[\sqrt{2ab}\] done clear
B) \[{{\cos }^{-1}}\{\cos 2{{\cot }^{-1}}(\sqrt{2}-1)\}\] done clear
C) \[\sqrt{2}-1\] done clear
D) \[\frac{\pi }{4}\] done clear
View Answer play_arrowquestion_answer26) The minimum intensity of light to be detected by human eye is \[\frac{3\pi }{4}\]The number of photons of wavelength \[\sum\limits_{m=1}^{n}{{{\tan }^{-1}}}\left( \frac{2m}{{{m}^{4}}+{{m}^{2}}+2} \right)\]entering the eye, with pupil area \[{{\tan }^{-1}}\left( \frac{{{n}^{2}}+n}{{{n}^{2}}+n+2} \right)\]per second for vision will be nearly
A) 100 done clear
B) 200 done clear
C) 300 done clear
D) 400 done clear
View Answer play_arrowquestion_answer27) In a photo emissive cell with exciting wavelength \[{{\tan }^{-1}}\left( \frac{{{n}^{2}}-n}{{{n}^{2}}-n+2} \right)\]the fastest electron has speed \[{{\tan }^{-1}}\left( \frac{{{n}^{2}}+n+2}{{{n}^{2}}+n} \right)\]. If the exciting wavelength is changed by \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\left( 1-\tan \frac{x}{2} \right)(1-\sin x)}{\left( 1+\tan \frac{x}{2} \right){{(\pi -2x)}^{3}}}\], the speed of the fastest emitted electron will be
A) \[\frac{1}{8}\] done clear
B) \[\frac{1}{32}\] done clear
C) less than \[\infty \] done clear
D) greater than\[f(x)=\left\{ \begin{align} & \frac{{{\sin }^{3}}(\sqrt{3}).\log (1+3x)}{{{({{\tan }^{-1}}\sqrt{x})}^{2}}({{e}^{5\sqrt{x}}}-1)x},x\ne 0 \\ & a,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=0 \\ \end{align} \right.\] done clear
View Answer play_arrowquestion_answer28) The ratio of the wavelength for \[\frac{3}{5}\]transition in \[\frac{5}{3}\]and H is
A) 1 : 2 : 3 done clear
B) 1 : 4 : 9 done clear
C) 4 : 9 : 36 done clear
D) 3 : 2 : 1 done clear
View Answer play_arrowquestion_answer29) The fraction of atoms of radioactive element that decays in 6 days is 7/8. The fraction that decays in 10 days will be
A) 77/80 done clear
B) 71/80 done clear
C) 31/32 done clear
D) 15/16 By using \[\Delta l.\] \[\Delta T\]\[\Delta l\] \[\Delta T\]\[\rho \] \[100\Omega \]\[{{f}_{1}}\] Hence,\[{{f}_{2}}\] \[n=3,{{f}_{2}}=\frac{3}{4}{{f}_{1}}\]\[n=5,{{f}_{2}}=\frac{3}{4}{{f}_{1}}\]\[n=3,{{f}_{2}}=\frac{5}{4}{{f}_{1}}\]\[n=5,{{f}_{2}}=\frac{5}{4}{{f}_{1}}\] So, fraction that decays \[{{T}_{1}}\] done clear
View Answer play_arrowquestion_answer30) Nucleus of mass number A, originally at rest, emits the a-particle with speed v. The daughter nucleus recoils with a speed of
A) 2v/(A + 4) done clear
B) 4v/(A + 4) done clear
C) 4v/(A-4) done clear
D) 2v/(A - 4) done clear
View Answer play_arrowquestion_answer31) When \[y=|\sin x{{|}^{|x|}},\] transforms to \[\frac{dy}{dx}\]then the number to the emitted \[x=\frac{-\pi }{6}\] and \[{{\frac{2}{6}}^{\frac{-\pi }{6}}}[6\log 2-\sqrt{3}\pi ]\]particles is, respectively
A) \[{{2}^{\frac{\pi }{6}}}[6\log 2+\sqrt{3}\pi ]\] done clear
B) \[{{\frac{2}{6}}^{-\frac{\pi }{6}}}[6\log 2+\sqrt{3}\pi ]\] done clear
C) \[{{x}^{x}}\] done clear
D) \[x>\frac{1}{e}\] done clear
View Answer play_arrowquestion_answer32) Two \[x<\frac{1}{e}\] nuclei touch each other. The y electrostatics repulsive energy of the system will be
A) 0.788 MeV done clear
B) 7,88 MeV done clear
C) 126.15MeV done clear
D) 788 MeV done clear
View Answer play_arrowquestion_answer33) A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20 cm from the centre of the magnet. If \[f(x)=3\sin x-4{{\sin }^{3}}x\]then the magnetic moment of the magnet is
A) 9000ab - amp x cm2 done clear
B) 900ab - amp x cm2 done clear
C) 1200ab - amp x cm2 done clear
D) 225ab - amp x cm2 done clear
View Answer play_arrowquestion_answer34) A magnet makes 40 oscillations per minute at a place having magnetic field intensity By \[\frac{\pi }{3}\] At another place, it takes 2.5 s to complete one vibration. The value of the earth's horizontal field at the place
A) \[\frac{\pi }{2}\] done clear
B) \[\frac{3\pi }{2}\] done clear
C) \[\pi \] done clear
D) \[f(x)={{x}^{2}}+bx-b\] done clear
View Answer play_arrowquestion_answer35) The coereivity of a small bar magnet is \[{{\left( \frac{x}{a} \right)}^{n}}+{{\left( \frac{y}{b} \right)}^{n}}=2\] A/m. It is inserted inside a solenoid of 500 turns and length 1 m to demagnetize it. The amount of current to be passed through the solenoid will be
A) 2.5 A done clear
B) 5 A done clear
C) 8 A done clear
D) 10 A done clear
View Answer play_arrowquestion_answer36) A wire in the form of a square of side a carries a current i. Then, the magnetic induction at the centre of the square wire is (magnetic permeability of free space \[\frac{x}{a}+\frac{y}{b}=2\]).
A) \[\frac{x}{a}+\frac{y}{b}=\frac{1}{2}\] done clear
B) \[\frac{x}{b}-\frac{y}{a}=2\] done clear
C) \[ax+by=2\] done clear
D) \[\frac{{{a}^{2}}}{{{x}^{2}}}+\frac{{{b}^{2}}}{{{y}^{2}}}=1\] done clear
View Answer play_arrowquestion_answer37) Given, \[{{a}_{n}}=\frac{{{n}^{2}}}{{{n}^{3}}+200}\] \[\frac{529}{49}\] \[\frac{8}{89}\] \[\frac{49}{543}\] The time constant (in [is) for the circuits I, II, III are respectively
A) 18,8/9,4 done clear
B) 18,4,8/9 done clear
C) 4, 8/9; 18 done clear
D) 8/9, 18, 4 done clear
View Answer play_arrowquestion_answer38) Two blocks A and B of masses 2m and m, respectively, are connected by a mass less and inextensible string. The whole system is suspended by a mass less spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively
A) g,g/2 done clear
B) g/2,g done clear
C) g,g done clear
D) g/2,g/2 done clear
View Answer play_arrowquestion_answer39) A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm, if the plane surface is silvered. The image will form at
A) 60 cm left of AB done clear
B) 30 cm left of AB done clear
C) 12 cm left of AB done clear
D) 60 cm right of AB done clear
View Answer play_arrowquestion_answer40) A biconvex lens of focal length / forms a circular image of sun of radius r in focal plane. Then,
A) \[\pi {{r}^{2}}=f\] done clear
B) \[\pi {{r}^{2}}-f\] done clear
C) if bower hall part is covered by black sheet, then area of the image is equal to \[f(x)=\left\{ \begin{align} & |{{x}^{3}}+{{x}^{2}}+3x+\sin x|.\left( 3+\sin \frac{1}{x} \right),\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=3 \\ \end{align} \right.\] done clear
D) if f is doubled, intensity will increase done clear
View Answer play_arrowquestion_answer41) Given a sample ofradium-226 having half-life of 4 days. Find, the probability, a- nucleus disintegrates after 2 half lives.
A) 1 done clear
B) 1/2 done clear
C) 1.5 done clear
D) 3/4 done clear
View Answer play_arrowquestion_answer42) Graph of position of image versus position of
A) \[\int_{{}}^{{}}{\frac{{{x}^{2}}-1}{({{x}^{4}}+3{{x}^{2}}+1){{\tan }^{-1}}\left( x+\frac{1}{x} \right)}dx}\] done clear
B) \[{{\tan }^{-1}}\left( x+\frac{1}{x} \right)+C\] done clear
C) \[{{\cot }^{-1}}\left( x+\frac{1}{x} \right)+C\] done clear
D) \[\log \left( x+\frac{1}{x} \right)+C\] done clear
View Answer play_arrowquestion_answer43) A mass less rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point 0 such that BO is equal to 'y'. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is
A) L/5 done clear
B) 4L/5 done clear
C) 3L/4 done clear
D) L/4 done clear
View Answer play_arrowquestion_answer44) A system of binary stars of masses \[\log \left[ {{\tan }^{-1}}\left( x+\frac{1}{x} \right) \right]+C\]and mg are moving in circular orbits of radii \[\int_{{}}^{{}}{\frac{\cos x}{{{\sin }^{2}}x.(\sin x+\cos x)}dx}\]and \[\log \left| \frac{1+\tan x}{\tan x} \right|-\cot x+C\]respectively. If \[\log \left| \frac{\tan x}{1+\tan x} \right|+C\] and \[\log \left| \frac{\tan x}{1+\tan x} \right|-\tan x+C\] are the time periods of masses \[\log \left| \frac{\tan x}{1+\tan x} \right|+\cot x+C\] and \[\int_{{}}^{{}}{\frac{dx}{\sin x-\cos x+\sqrt{2}}}\] respectively, then
A) \[-\frac{1}{\sqrt{2}}\tan \left( \frac{x}{2}+\frac{\pi }{8} \right)+C\] done clear
B) \[\frac{1}{\sqrt{2}}\tan \left( \frac{x}{2}+\frac{\pi }{8} \right)+C\] done clear
C) \[\frac{1}{\sqrt{2}}\cot \left( \frac{x}{2}+\frac{\pi }{8} \right)+C\] done clear
D) \[-\frac{1}{\sqrt{2}}\cot \left( \frac{x}{2}+\frac{\pi }{8} \right)+C\] done clear
View Answer play_arrowquestion_answer45) A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be
A) \[\int_{0}^{\frac{3\pi }{2}}{\sin \left[ \frac{2x}{\pi } \right].dx,}\] done clear
B) \[\frac{\pi }{2}(\sin 1+\cos 1)\] done clear
C) 4R done clear
D) R done clear
View Answer play_arrowquestion_answer46) A student performs an experiment for determination of \[\frac{\pi }{2}(\sin 1+\sin 2)\]and he commits an error of \[\frac{\pi }{2}(\sin 1-\cos 1)\] For The takes the time of n oscillations with the stop watch of least count \[\frac{\pi }{2}(\sin \pi -\sin 2)\] and he commits a human error 0.1 of s. For which of the following data, the measurement of g will be most accurate?
A) \[\int_{1/n}^{(an-1yn)}{\frac{\sqrt{x}}{\sqrt{a-x+\sqrt{x}}}}dx\] \[\frac{a}{2}\] n Amplitude of oscillation 5 mm 0.2 s 10 5 mm done clear
B) 5 mm 0.2 s 20 5 mm done clear
C) 5 mm 0.1 s 20 1 mm done clear
D) 1 mm 0.1 s 50 1 mm done clear
View Answer play_arrowquestion_answer47) The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is
A) 2.25 mm done clear
B) 2.20 mm done clear
C) 1.20 mm done clear
D) 1.25 mm done clear
View Answer play_arrowquestion_answer48) Consider the cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material of the cylinder is \[\frac{n.a+2}{2n}\]. Choose the correct option out the following.
A) Power loss in first half is four times the power loss 5 in second half done clear
B) Voltage drop in first half is twice of voltage drop in second half done clear
C) Current density in both halves are equal done clear
D) Electric field in both halves is equal done clear
View Answer play_arrowquestion_answer49) Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance \[\frac{n.a-2}{2n}\]by passing a current of 1 A for five minutes, then change in internal energy of the gas is
A) 0 kJ done clear
B) 30 RJ done clear
C) 10 RJ done clear
D) 20 kJ done clear
View Answer play_arrowquestion_answer50) Two litre of water at initial temperature of 27?C is heated by a heater of power 1 kW. If the lid of kettle is opened, then heat is lost at the constant rate of 160 J/s. Find, the time required to raise the temperature of water to 77?C with the lid open (specific heat of water 4.2 kJ/kg)
A) 5 min 40 s done clear
B) 14 min 20s done clear
C) 8 min 20 s done clear
D) 16 min 10s done clear
View Answer play_arrowquestion_answer51) An open organ pipe resonated with frequency \[\frac{n.a}{2}\] and 2nd harmonic. Now, one end is closed and the frequency is slowly increased, then it resonates with frequency \[y=x|\sin x|\] and nth harmonic then,
A) \[2\pi \] done clear
B) \[3\pi \] done clear
C) \[\pi \] done clear
D) \[4\pi \] done clear
View Answer play_arrowquestion_answer52) Which of the following process does not occur through convection
A) boiling of water done clear
B) land breeze and sea breeze done clear
C) circulation of air around furnace done clear
D) heating of glass bulb through filament done clear
View Answer play_arrowquestion_answer53) \[|y+x|\le 1,\]is the time period of simple pendulum. The point of suspension moves vertically upwards according to \[|y-x|\le 1\]where \[2{{x}^{2}}+2{{y}^{2}}=1\]New time period is \[\left( 2+\frac{\pi }{2} \right)\] then \[\left( 2-\frac{\pi }{2} \right)\]
A) 4/5 done clear
B) 6/5 done clear
C) 5/6 done clear
D) 1 done clear
View Answer play_arrowquestion_answer54) In the figure shown, a cubical block is held stationary against a rough wall by applying force 'F, then incorrect statement among the following is
A) frictional force f = mg done clear
B) F = N, N is normal reaction done clear
C) F does not apply any torque done clear
D) N does not apply any torque done clear
View Answer play_arrowquestion_answer55) Three infinitely charged sheets are kept parallel to x-y plane having charge densities as shown. Then, the value of electric field at 'P is
A) \[\left( 3+\frac{\pi }{2} \right)\] done clear
B) \[\left( 3-\frac{\pi }{4} \right)\] done clear
C) \[y={{u}^{m}}\] done clear
D) \[2{{x}^{4}}.y\frac{dy}{dx}+{{y}^{4}}=4{{x}^{6}}\] done clear
View Answer play_arrowquestion_answer56) A circular disc of radius \[m=\frac{3}{2}\]is cut from a circular disc of radius R and mass 9M as shown. Then, moment of inertia of remaining disc about 'O perpendicular to the plane of the disc is
A) \[m=\frac{2}{3}\] done clear
B) \[{{x}^{2}}+{{y}^{2}}-x=0\] done clear
C) \[4{{x}^{2}}+2{{y}^{2}}-9y=0\] done clear
D) \[2{{x}^{2}}+4{{y}^{2}}-9x=0\] done clear
View Answer play_arrowquestion_answer57) A cylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is
A) zero done clear
B) clockwise as seen from + z-axis done clear
C) anti-clockwise as seen from + z-axis done clear
D) opposite to the direction of magnetic field done clear
View Answer play_arrowquestion_answer58) Ratio of area of hole to beaker is 0.1. Height of liquid in beaker is 3m, and hole is at the height of 52.5 cm from the bottom of beaker, find the square of the velocity of liquid coming out from the hole
A) \[4{{x}^{2}}+2{{y}^{2}}-9x=0\] done clear
B) \[|a|=1,|b|=4,a.b=2\] done clear
C) \[c=2a\times b-3b,\] done clear
D) \[\frac{\pi }{6}\] done clear
View Answer play_arrowquestion_answer59) Temperature of a gas is \[\frac{5\pi }{6}\]and pressure is changed from \[\frac{\pi }{3}\]to \[\frac{2\pi }{3}\] If volume is decreased isothermally by 10%, Bulk modulus of gas is
A) \[{{p}^{th}}\] done clear
B) \[{{q}^{th}}\] done clear
C) \[{{r}^{th}}\] done clear
D) \[\hat{i}+\log b\hat{j}+\log c\hat{k}\] done clear
View Answer play_arrowquestion_answer60) The atomic number (Z) of an element whose \[(q-r)\hat{i}+(r-p)\hat{j}+(p-q)\hat{k}\]wavelength is \[r.(\hat{i}-\hat{j}+\hat{k})=5\] is 11. The atomic number of an element whose \[r=\hat{i}+\hat{j}+\hat{k}\]wavelength is \[3\sqrt{5}\]is equal to
A) 6 done clear
B) 11 done clear
C) 44 done clear
D) 4 done clear
View Answer play_arrowquestion_answer61) Which of the following compounds will not react with Mg metal in the presence of ether to give a Grignard reagent?
A) \[10\sqrt{3}\] done clear
B) \[5\sqrt{3}\] done clear
C) \[3\sqrt{10}\] done clear
D) \[\hat{i}+3\hat{k}\] Compounds containing acidic hydrogen cannot be used in Grignard's synthesis and the compound \[\text{m}{{\text{s}}^{\text{-1}}}\] contains acidic hydrogen. done clear
View Answer play_arrowquestion_answer62) How many enols (including stereo isomers) exist for 3-hexanone?
A) Two done clear
B) Three done clear
C) Four done clear
D) Six done clear
View Answer play_arrowquestion_answer63) Which of the following processes does not yield a primary amine?
A) \[r.(\hat{i}+\hat{j}+\hat{k})=1\] done clear
B) \[\hat{i}+2\hat{j}+\hat{k}\] done clear
C) \[\hat{i}-2\hat{j}+\hat{k}\] done clear
D) \[-\hat{i}-2\hat{j}+\hat{k}\] done clear
View Answer play_arrowquestion_answer64) An aqueous solution of phosphoric acid, \[\hat{i}+2\hat{j}-\hat{k}\]being titrated has molarity equal to 0.25 M. Which of the following could be normality of this solution?
A) 0.25 N done clear
B) 0.50 N done clear
C) 0.75 N done clear
D) All of these done clear
View Answer play_arrowquestion_answer65) For the reaction represented by the equation, \[\frac{496}{729}\]9.0 g of \[\frac{400}{729}\] completely reacts with 1.74 g of oxygen. The approximate molar mass of X will be
A) 20 done clear
B) 40 done clear
C) 60 done clear
D) 80 done clear
View Answer play_arrowquestion_answer66) Which of the following species contain an element in an oxidation state that is not a whole number?
A) \[\frac{500}{729}\] done clear
B) \[\frac{600}{729}\] done clear
C) \[{{7}^{m}}+{{7}^{n}}\] done clear
D) \[\frac{1}{4}\] done clear
View Answer play_arrowquestion_answer67) Gold is extracted by hydrometallurgical process, based on its property
A) of being electropositive done clear
B) of being less reactive done clear
C) to form complexes which are water soluble done clear
D) to form salts which are water soluble done clear
View Answer play_arrowquestion_answer68) Due to lanthanide contraction
A) Fe, Co, Ni have equal size done clear
B) Zr and Hf have equal size done clear
C) all y-block ions have equal size done clear
D) all isoelectronic ions have equal size done clear
View Answer play_arrowquestion_answer69) The element which forms ions in dimeric state is
A) mercury done clear
B) nickel done clear
C) iron done clear
D) cadmium done clear
View Answer play_arrowquestion_answer70) The high oxidising power of fluorine in due to Its
A) high electron affinity done clear
B) high heat of dissociation and low heat of hydration done clear
C) low heat of dissociation and high heat of hydration done clear
D) high heat of dissociation and high heat of hydration done clear
View Answer play_arrowquestion_answer71) Which one of the following is the weakest acid?
A) HF done clear
B) HCI done clear
C) HBr done clear
D) HI done clear
View Answer play_arrowquestion_answer72) Find the pressure of a sample of \[\frac{1}{7}\]if mole occupies 35L at 77?C. Assume \[\frac{1}{8}\]obeys the van der Waals equation of state. \[\frac{1}{49}\]
A) 0.56 atm done clear
B) 0.572 atm done clear
C) 0:82 atm done clear
D) 0.807 atm done clear
View Answer play_arrowquestion_answer73) KBr crystallises in NaCI type of crystal lattice and its density is \[{{\sin }^{-1}}a+{{\sin }^{-1}}b+{{\sin }^{-1}}c=\pi ,\] Number of unit 3 cells of KBr present in a 1.00 mm3 grain of KBr are
A) \[a.\sqrt{(1-{{a}^{2}})}+b.\sqrt{(1-{{b}^{2}})}+c.\sqrt{(1-{{c}^{2}})}\] done clear
B) \[\frac{1}{2}abc\] done clear
C) \[\frac{1}{3}abc\] done clear
D) \[\lambda \] done clear
View Answer play_arrowquestion_answer74) A body centre cubic lattice is made up of two different types of atoms A and B. Atom A occupies the body centre and B occupying the corner positions. One of the corners is left unoccupied per unit cell. Empirical formula of Option nahi hey There is one A per unit cell Number of B per unit cell \[E_{cell}^{0}=+0.84V\] Empirical formula \[E_{cell}^{0}=+1.28V\] \[\alpha \] A substance is carried out through the following transformations The equation \[\mu \]
A) is true only if the steps are carried out reversibly done clear
B) is always true because entropy is a state function done clear
C) may be true but need more in formations on the processes done clear
D) is incorrect done clear
View Answer play_arrowquestion_answer75) At 298 K the entropy of rhombic sulphur is 32.04 J/mol K and that of monoclinic sulphur is 32.68 J/mol K. The heat of their combustion are respectively-298246 and -297948\[x+y+z=6,x+2y+3z=10\].\[x+2y+\lambda z=\mu \] for the reaction; rhombic \[\lambda =3,\mu \ne 10\] will be
A) 107. 28 J done clear
B) 10.728 J done clear
C) 107.28k J done clear
D) 10728 J done clear
View Answer play_arrowquestion_answer76) An atomic orbital has two angular nodes and one radial node. It is a
A) 2p orbital done clear
B) 3p orbital done clear
C) 3p orbital done clear
D) 4d orbital done clear
View Answer play_arrowquestion_answer77) Which of the following sets of quantum numbers could represent the last electron added to complete the electron configuration for a ground state atom of Br(Z = 35) according to the Aufbau principle, \[\lambda \ne 3,\mu =10\]
A) \[\lambda \ne 3,\mu \ne 10\] done clear
B) \[f(x)=\sec \left( \frac{\pi }{4}{{\cos }^{2}}x \right),-\infty <x<\infty \] done clear
C) \[[1,\sqrt{2}]\] done clear
D) \[[1,\infty ]\] done clear
View Answer play_arrowquestion_answer78) Order the species \[[-\sqrt{2},-1]\cup [1,\sqrt{2}]\]and \[[-\infty ,-1]\cup [1,\infty ]\]according to increasing C?F bond length
A) \[\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{{{a}^{x}}+{{b}^{x}}+{{c}^{x}}}{3} \right)}^{2/x}}\] done clear
B) \[ab{{c}^{3}}\] done clear
C) \[{{(abc)}^{1/3}}\] done clear
D) \[f(x)=[x]\cos \left[ \frac{2x-1}{2} \right]\pi ,\] done clear
View Answer play_arrowquestion_answer79) When the substances \[f(x)=({{x}^{2}}-1)|{{x}^{2}}-3x+2|\] and \[+\cos |x|\]are arranged is order of increasing boiling point, what is the correct order?
A) \[f(x+y)=f(x).f(y)\] done clear
B) \[f(15)=2,f'(0)=3,\] done clear
C) \[x\sin (a+y)+\sin a\cos (a+y)=0,\] done clear
D) \[\frac{dy}{dx}\] done clear
View Answer play_arrowquestion_answer80) The nitrite ion in represented by (I)\[\frac{{{\sin }^{2}}(a+y)}{\sin a}\] (II)\[\frac{{{\cos }^{2}}(a+y)}{\cos a}\] Which of the structures represents possible resonance forms of this ion?
A) Only I done clear
B) Only II done clear
C) Both I and II done clear
D) Neither I and II done clear
View Answer play_arrowquestion_answer81) Equal moles of \[\frac{{{\sin }^{2}}(a+y)}{\cos a}\] and N.O(g) are to be placed in a container to produce \[\frac{{{\cos }^{2}}(a+y)}{\sin a}\] according to the reaction, \[f(x)={{x}^{3}}-7{{x}^{2}}+15,\] How many moles of \[f(x)={{x}^{3}}-3{{x}^{2}}+2x\] and NO be placed in the 5.0 L container to have an equilibrium concentration of \[c=\pm 1\]to be 0.05 M?
A) 0.5115 done clear
B) 0.1023 done clear
C) 0.0526 done clear
D) 0.2046 done clear
View Answer play_arrowquestion_answer82) The rate of a chemical reaction involving liquids only will not be influenced by the
A) temperature of the system done clear
B) number of reacting particles per mL done clear
C) stability of the bonds done clear
D) pressure of the system done clear
View Answer play_arrowquestion_answer83) Consider the following reaction in aqueous solution. \[c=1\pm \frac{1}{\sqrt{3}}\]\[c=\pm 2\] If the rate of appearance of \[3x-y+2z-4=0\] at a particular moment during the reaction is 0.025 \[x+y+z-2=0\], what is the rate of disappearance (in \[7x+5y+4z+8=0\]) of \[7x+5y+4z-8=0\] at that moment?
A) 0.025\[7x-5y+4z-8=0\] done clear
B) 0.042\[\underset{x\to 0}{\mathop{\lim }}\,{{({{1}^{\cos e{{c}^{2}}}}^{x}+...+{{n}^{\cos e{{c}^{2}}x}})}^{{{\sin }^{2}}x}}\] done clear
C) 0.075\[\frac{1}{n}\] done clear
D) 0.125\[\int_{0}^{\pi /2}{\frac{\sin x-\cos x}{1+\sin x.\cos x}dx}\] done clear
View Answer play_arrowquestion_answer84) Shown below are four possible synthesis of propionaldehyde. Which one would not work?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer85) The compound \[\frac{\pi }{4}\]is produced by the reaction of an axcess of benzaldehyde with which compound?
A) \[\frac{\pi }{2}\] done clear
B) \[\pi \] done clear
C) Hydroxyl amine done clear
D) Phenyl hydrazine done clear
View Answer play_arrowquestion_answer86) Which of the following statements is not true for acetaldehyde?
A) It will undergo an aldol condensation reaction. done clear
B) It will undergo a Cannizzaro reaction. done clear
C) It will undergo a halo form reaction done clear
D) Enolisation is catalysed by acid or base done clear
View Answer play_arrowquestion_answer87) Which of the following compounds does not undergo mutarotation?
A) Glucose done clear
B) Sucrose done clear
C) Ribose done clear
D) Fructose done clear
View Answer play_arrowquestion_answer88) If two isomers have been classified correctly as anomers, they may be also called
A) conformers done clear
B) enantiomers done clear
C) tautomers done clear
D) diastereomers done clear
View Answer play_arrowquestion_answer89) Which two of the following aldohexoses give the same osazone derivative? (I) (II) (III) (IV)
A) I and IV done clear
B) I and III done clear
C) II and III done clear
D) III and IV done clear
View Answer play_arrowquestion_answer90) Which of the following describes the overall three dimensional folding of a polypeptide?
A) Primary structure done clear
B) Secondary structure done clear
C) Tertiary structure done clear
D) Quaternary structure done clear
View Answer play_arrowquestion_answer91) What is incorrect regarding natural rubber?
A) It is cis-polyisoprene done clear
B) It is amorphous in nature done clear
C) It has syndiotactic stereochemistry done clear
D) molecules of rubber have coiled conformation done clear
View Answer play_arrowquestion_answer92) Which one of the following is the structure of polyacrylonitrile?
A) \[1-{{y}^{2}}=|x|\] done clear
B) \[|x|+|y|=1\] done clear
C) \[\frac{\sqrt{3}}{2}\] done clear
D) done clear
View Answer play_arrowquestion_answer93) Which of the aromatic compounds react fastest with methoxide ion?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer94) Which reagents would you use to carry out the reaction Ethyl benzene \[\sqrt{3}x+y-\sqrt{3}=0,\sqrt{3}x-y-\sqrt{3}=0\] and 4- chloro 1- ethyl benzene?
A) \[\sqrt{3}x+y+\sqrt{3}=0,\sqrt{3}x-y+\sqrt{3}=0\] light and heat done clear
B) \[x+\sqrt{3}x-y\sqrt{3}=0,x-\sqrt{3}y-\sqrt{3}=0\] done clear
C) \[{{\left( x-\frac{5}{2} \right)}^{2}}+{{(y-3)}^{2}}=\lambda ,\] done clear
D) \[\lambda \] done clear
View Answer play_arrowquestion_answer95) What represents the best method for producing salicylic acid?
A) Benzoic acid, strong base, high temperature done clear
B) Toluene, strong base, water, high temperature done clear
C) Phenol, base, carbondioxide then acid done clear
D) Bromobenzene, carbonic acid, high temperature done clear
View Answer play_arrowquestion_answer96) Which pair is usually required for a nucleophilic aromatic substitution reaction?
A) \[\frac{61}{4}\]substitution and a strong electrophile done clear
B) A ring bearing a strong activating group and a strong acid done clear
C) An aryl halide with an \[\frac{6}{4}\] and a strong nucleophile done clear
D) An un substituted benzene ring and a strong electrophile done clear
View Answer play_arrowquestion_answer97) What reaction does hydroquinone undergo most readily?
A) \[\frac{1}{4}\] substitution done clear
B) Hydrolysis done clear
C) Oxidation done clear
D) Reduction done clear
View Answer play_arrowquestion_answer98) In physical adsorption, the adsorbent and adsorbate are held together by the
A) ionic forces done clear
B) covalent forces done clear
C) van der Waals' forces done clear
D) H-bonding done clear
View Answer play_arrowquestion_answer99) Potassium stearate is obtained by the saponification of an oil or fat. It has formula \[\frac{x+5}{1}=\frac{y+3}{4}=\frac{z-6}{-9}.\] The molecule has a lyophobic terminal \[\frac{x-2}{6}=\frac{y-4}{3}=\frac{z+1}{2}\]and a lyophilic terminal ? COOK. Potassium stearate is an example of
A) lyophilic colloid done clear
B) lyophobic colloid done clear
C) macromolecular colloid done clear
D) micelle done clear
View Answer play_arrowquestion_answer100) Suppose that gold is being plated on to another metal in an electrolytic cell. The half-cell reaction producing the Au(s) is\[\frac{x+2}{6}=\frac{y-4}{3}=\frac{z+1}{2}\] lf a 0.30 A current runs for 15.00 min, what mass of Au(s) will be plated, assuming all the electrons are used in the reduction of \[\frac{x+2}{-6}=\frac{y-4}{3}=\frac{z+1}{2}\] ? The Faraday constant is 96485 C/mol and molar mass of Au is 197.
A) 0.184 g Au done clear
B) 0.551 g Au done clear
C) 1.84 g Au done clear
D) 0.613 g Au done clear
View Answer play_arrowquestion_answer101) What is the cell potential (standard emf, E?) for the reaction below? \[\frac{x+2}{6}=\frac{y+4}{3}=\frac{z+1}{2}\]and\[{{\cos }^{2}}A+{{\cos }^{2}}C={{\sin }^{2}}B,\] \[\Delta ABC\] \[\left| \begin{matrix} x+y+2z & x & y \\ z & y=z+2x & y \\ z & x & z=x+2y \\ \end{matrix} \right|\]
A) \[=k{{(x+y+z)}^{3}},\] done clear
B) \[\frac{x}{\log x}\] done clear
C) \[\frac{1}{e}\] done clear
D) \[{{e}^{2}}\] done clear
View Answer play_arrowquestion_answer102) If in a solvent, n simple molecules of solute combine to form an associated molecule, \[{{e}^{3}}\] is the degree of association, the van't Hoffs factor is equal to
A) \[\frac{n!}{{{n}^{n-1}}}\] done clear
B) \[\frac{n!}{{{n}^{n}}}\] done clear
C) \[\frac{n!}{2{{n}^{n}}}\] done clear
D) \[[p]=\left[ \frac{a}{{{V}^{2}}} \right]\] done clear
View Answer play_arrowquestion_answer103) If the osmotic pressure of a 0.010 M aqueous solution of sucrose at 27?C is 0.25 atm, then the osmotic pressure of a 0.010 M aqueous solution. of NaCl at 27?C is
A) 0.062 atm done clear
B) 0.12 atm done clear
C) 0.25 atm done clear
D) 0.50 atm done clear
View Answer play_arrowquestion_answer104) A certain radioactive isotope \[\Rightarrow \] (half-life = 10 days) decays to give \[[a]=[p][{{V}^{2}}]=[M{{L}^{-1}}{{T}^{-2}}][{{L}^{6}}]=[M{{L}^{5}}{{T}^{-2}}]\]If 1.0 g of X is kept in a sealed vessel find the volume of He accumulated at STP in 20 days. Molar mass of \[a=gm\times c{{m}^{5}}\times {{s}^{-2}}\]
A) 22.40 mL done clear
B) 33.40 mL done clear
C) 55.40 mL done clear
D) 66.40 mL done clear
View Answer play_arrowquestion_answer105) Raw milk sours in about 4 h at 27?C, but in about 48 h in a refrigerator at 17?C. What is the activation energy for souring of milk?
A) 78.3 \[=Dyne\times c{{m}^{4}}\] done clear
B) 46.21 \[[{{C}^{2}}LR]=\left[ {{C}^{2}}{{L}^{2}}\frac{R}{L} \right]=\left[ {{(CL)}^{2}}\left( \frac{R}{L} \right) \right]\] done clear
C) 23.5 \[f=\frac{1}{2\pi }\frac{1}{\sqrt{LC}}.\] done clear
D) 80.8 \[[{{T}^{2}}].\] done clear
View Answer play_arrowquestion_answer106) If 200 mL of a 0.031 molar solution of \[\left[ \frac{L}{R} \right]\]are added to 84 mL of a 0.150 M KOH solution, what is the pH of the resulting solution?
A) 12.4 done clear
B) 1.7 done clear
C) 2.2 done clear
D) 10.9 done clear
View Answer play_arrowquestion_answer107) \[\frac{L}{R}\]is
A) planar done clear
B) pyramidal done clear
C) octahedral done clear
D) tetrahedral done clear
View Answer play_arrowquestion_answer108) Solid \[\left[ {{(LC)}^{2}}\left( \frac{R}{L} \right) \right]={{[{{T}^{2}}]}^{2}}[{{T}^{-1}}]=[{{T}^{3}}].\] is
A) ionic done clear
B) covalent done clear
C) coordinate covalent done clear
D) metallic done clear
View Answer play_arrowquestion_answer109) Which of the following phosphorus is the most reactive?
A) Red phosphorus done clear
B) White phosphorus done clear
C) Scarlet phosphorus done clear
D) Violet phosphorus done clear
View Answer play_arrowquestion_answer110) The activity of alkaline earth metals as reducing agent
A) decreases from Be to Ba done clear
B) increases from Be to Ba done clear
C) increases from Be to Ca and decreases from Ca to Ba done clear
D) decreases from Be to Ca and increases from Ca to Ba done clear
View Answer play_arrowquestion_answer111) Baking powder ia more commonly used to make cakes or bread "rise". Filler in baking powder is
A) \[=\frac{Number\,of\,particle}{A\times t}=\frac{[{{M}^{0}}{{L}^{0}}{{T}^{0}}]}{[{{L}^{2}}][T]}=[{{L}^{-2}}{{T}^{-1}}]\] done clear
B) \[[{{n}_{1}}]=[{{n}_{2}}]=\] done clear
C) starch done clear
D) \[=[{{L}^{-3}}]\] done clear
View Answer play_arrowquestion_answer112) Strongest conjugate base is
A) \[[D]=\frac{[n][{{x}_{2}}-{{x}_{1}}]}{[{{n}_{2}}-{{n}_{1}}]}\] done clear
B) \[=\frac{[{{L}^{-2}}{{T}^{-1}}][L]}{[{{L}^{-3}}]}\] done clear
C) \[=[{{L}^{2}}{{T}^{-1}}]\] done clear
D) \[v=4{{t}^{3}}-2t\] done clear
View Answer play_arrowquestion_answer113) Out of the following redox reactions I.\[x=\int_{{}}^{{}}{vdt,x={{t}^{4}}-{{t}^{2}}+C,}\] II.\[t=0,x=0\] III.\[\Rightarrow \] disproportionation is not shown in
A) I and II done clear
B) II and III done clear
C) I and III done clear
D) I, II and III done clear
View Answer play_arrowquestion_answer114) The complex \[2={{t}^{4}}-{{t}^{2}}\Rightarrow {{t}^{4}}-{{t}^{2}}-2=0\] is formed in the ring test for nitrate ion when freshly prepared \[\Rightarrow \]solution is added to aqueous solution of \[({{t}^{2}}-2)({{t}^{2}}+1)=0\]followed by addition of Cone. \[\Rightarrow \] This complex is formed by charge transfer in which
A) \[t=\sqrt{2}s\]changes to \[a=\frac{dv}{dt}=\frac{d}{dt}(4{{t}^{3}}-2t)\]and \[a=12{{t}^{2}}-2\]changes to NO done clear
B) \[t=\sqrt{2}\sec \]changes to \[a=12\times {{(\sqrt{2})}^{2}}-2=22m/{{s}^{2}}\] and NO changes to\[\therefore \frac{da}{dt}=k\] done clear
C) \[\Rightarrow a=kt\] changes to \[\Rightarrow \] and NO changes to \[\frac{dv}{dt}=kt\Rightarrow dv=ktdt\] done clear
D) No charge transfer takes place done clear
View Answer play_arrowquestion_answer115) Which pair is different from the others?
A) Li-Mg done clear
B) B?AI done clear
C) Na ? K done clear
D) Ca ? Mg done clear
View Answer play_arrowquestion_answer116) The dominant factor in determining the lE of the elements on moving down the groups is its
A) atomic radius done clear
B) effective nuclear charge done clear
C) Both (a) and (b) done clear
D) None of the above done clear
View Answer play_arrowquestion_answer117) Valence electrons in the element A are 3 and that in element B are 6. Most probable compound formed from A and B is
A) \[\Rightarrow \] done clear
B) \[\int_{{}}^{{}}{dv}=k\int_{{}}^{{}}{tdt}\Rightarrow v=\frac{k{{t}^{2}}}{2}\] done clear
C) \[t=\frac{u\sin \theta }{g}=3\] done clear
D) \[\therefore \] done clear
View Answer play_arrowquestion_answer118) Which of the following in the/strongest base?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer119) Which of the following best define the term hyper conjugation?
A) Transfer of H from a\[u\sin \theta =10\times 3\]bond to the \[u\sin \theta =30\]system done clear
B) Participation of an H-atom on terminal carbon in the electron sharing done clear
C) Delocalisation of electron density from a properly oriented \[u\cos \theta =v\cos {{30}^{o}}\]bond into \[v\sin {{30}^{o}}=u\sin \theta -g\times 2\]system done clear
D) Interaction between a properly aligned lone electron pair with the empty \[v\sin {{30}^{o}}=30-20\]system done clear
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