question_answer2) The maximum and minimum distance of a comet from the sun are \[8\times {{10}^{12}}m\] and\[1.6\times {{10}^{12}}m\]. If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when farthest?
question_answer3) The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered s as \[K=a{{s}^{2}}\]. The force acting on the particle is:
question_answer4) According to Newton, the viscous force acting between liquid layers of area A and velocity gradient\[\frac{\Delta \upsilon }{\Delta z}\]is given by \[F=\eta A\frac{\Delta \upsilon }{\Delta z}\] where \[\eta \] is a constant called coefficient of viscosity. The dimension of \[\eta \] are:
question_answer5) If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be:
question_answer10) A body is thrown with a velocity of 9.8 m/s making an angle of \[30{}^\circ \] with the horizontal. It will hit the ground after a time:
question_answer11) 220 V, 50 Hz AC source is connected to an inductance of 0.2 H and a resistance of 20 ohm in series. What is the current in the circuit:
question_answer12) A particle moves along a straight line such that its displacement at any time t is given by \[S={{t}^{3}}-6{{t}^{2}}+3t+4.\] The velocity when the accelerations zero in m/s is:
question_answer13) A parallel plane condenser is filled with two dielectrics as shown in figure. Area of each plate is A in m2 and the separation is d metre. The dielectric constants are \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively. Its capacitance in farad will be:
question_answer15) Atomic weight of boron is 10.81 and it has two isotopes \[_{5}{{B}^{10}}\] and\[_{5}{{B}^{11}}\]. Then ratio of \[_{\text{5}}{{\text{B}}^{\text{11}}}\text{:}{{\,}_{\text{5}}}{{\text{B}}^{\text{11}}}\] in nature would be :
question_answer17) A convex lens of focal length\[f\]produces an image 1/n times than that of the size of the object. The distance of the object from the lens is:
question_answer19) A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it;
question_answer20) The ratio of rms velocity of oxygen molecules at \[327{}^\circ C\] to the rms velocity of hydrogen molecules at \[27{}^\circ C\]. Given that molecular weights of hydrogen and oxygen are 2 and 32 respectively, is:
question_answer21) A point source of light is placed 4 m below the surface of water of refractive index is 5/3. The minimum diameter of a disc which should be placed over the source on the surface of water to cut-off all light coming out of water is:
question_answer22) A particle is moving Eastward with a velocity of 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this rime is:
A)
\[\text{1/2}\,\text{m/}{{\text{s}}^{\text{2}}}\] towards North-West
doneclear
B)
\[\text{1/}\sqrt{2}\,\text{m/}{{\text{s}}^{\text{2}}}\] towards North-East
doneclear
C)
zero
doneclear
D)
\[\text{1/}\sqrt{2}\,\text{m/}{{\text{s}}^{\text{2}}}\] towards North-West
question_answer23) A point Q lies on the perpendicular bisector of an electrical dipole of dipole moment p. If the distance of Q from the dipole is r (much larger than the size of the dipole), then electric field at Q is proportional to:
question_answer24) A battery of emf 10V and internal resistance 0.5 ohm is connected across a variable resistance R. The value of R for which the power delivered in it is maximum is given by :
question_answer25) A particle of mass m moving with velocity v strikes a stationary particle of mass 2 m and sticks to it. The speed of the system will be:
question_answer29) An ideal gas A and a real gap B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy:
question_answer30) A transverse wave is represented by the equation\[y={{y}_{0}}\sin \,\frac{2\pi }{\lambda }(\upsilon t-x)\] For what value of \[\lambda \] is the particle velocity equal to two times the wave velocity:
question_answer33) The work done in increasing the size of a soap film from \[10\,cm\times 6\,m\] to \[10\,cm\times 11\,cm\] is\[3\times {{10}^{-4}}joule\]. The surface tension of the film is:
question_answer34) The escape velocity from the surface of earth is \[{{\upsilon }_{es.}}\] The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be:
question_answer35) A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2 in and sticks to it- Now the combined mass starts to move. What will be the combined velocity?
question_answer36) In the figure shown a block of weight 10 N is resting on a horizontal surface (figure). The coefficient of static friction between the block and surface is force of 3.5 N will keep the block in uniform motion, once it has been set in motion. A horizontal force of 3 N is applied to the block then:
A)
First it will move with a constant velocity for some time and then will have accelerated motion
doneclear
B)
the block move having accelerated motion over the surface
doneclear
C)
The block move over the surface with a constant velocity
question_answer38) The equation of travelling wave is \[y=60\,\cos \] \[(1800t-6x)\]y where y in microns, in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is :
question_answer40) A balloon contains \[500\text{ }{{m}^{3}}\]of helium at \[27{}^\circ C\] and 1 atmosphere pressure. The volume of the helium at \[-3{}^\circ C\] temperature and 0.5 atmosphere pressure will be:
question_answer41) In Youngs double slit experiment using sodium light \[(\lambda =5898\,\overset{\text{o}}{\mathop{\text{A}}}\,)\], 92 fringes are seen. If given colour \[(\lambda =5461\,\overset{\text{o}}{\mathop{\text{A}}}\,)\] is used, how many fringes will be seen:
question_answer42) The focal lengths of the objective and eye lenses of a telescope ane respectively 200 cm and 5 cm. The maximum magnifying power of the telescope will be:
question_answer46) Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed... oscillations:
question_answer48) A car moving with a speed of 40 km/h be stopped by applying brakes after at least 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance:
question_answer49) Progressive waves are represented by the equation \[{{y}_{1}}=a\,\sin \,(\omega t-x)\] and \[{{y}_{2}}=b\,\cos \,(\omega t-x)\] The phase difference between waves is:
question_answer51) A circular disc of mass M and radius r is rotating on a horizontal frictionless table about a diameter, with a constant angular velocity\[\omega .\]If\[m{{r}^{2}}{{\omega }^{2}}\]is \[\Upsilon \] then the kinetic energy of rotation is :
question_answer54) What is the magnitude of a point charge due to which the electric field 30 cm away has the magnitude \[2N\text{/}C\]\[\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}\text{N}{{\text{m}}^{\text{2}}}\text{/}{{\text{C}}^{\text{2}}} \right)\]
question_answer56) The temperature of perfect black body is \[727{}^\circ C\] and its area is \[0.1\,{{m}^{2}}\]. If Stefans constant is\[5.67\text{ }watt/{{m}^{2}}s{{K}^{-4}},\] then heat radiated by it in 1 minute is:
question_answer57) The internal resistance of a primary cell is 4 \[\Omega \] It generates a current of 0.2 amp in an external resistance of 21 \[\Omega \] The rate at which chemical energy to consumed in providing current is:
question_answer58) Iionization potential of hydrogen atom is 13.6 eV. Hydrogen atom on the ground state rarely excited by monochromatic radiation of photon energy 12.1 eV. The special line emitted by a hydrogen atom according to Bohrs theory will be:
question_answer59) If the gravitational force between two objects were proportional to\[\frac{1}{R}\](and not\[\frac{1}{{{R}^{2}}})\] where R is separation between then a particle in circular orbit under such a force would have its orbital speed \[\upsilon \] proportional to:
question_answer60) Two rigid bodies A and B rotate with rotational kinetic energies \[{{E}_{A}}\] and \[{{E}_{B}}\] respectively. The moments of inertia of A and B about the axis of rotation are \[{{I}_{A}}\] and \[{{I}_{B}}\]respectively. If\[{{I}_{A}}=\frac{{{I}_{B}}}{4}\] and\[{{E}_{A}}=100\,{{E}_{B}}\] the ratio of angular momentum\[({{L}_{A}})\]of A to the angular momentum \[({{L}_{B}})\] of B is:
question_answer68) A and B are two identical vessels. A contains 15 g of ethane at 298 K and 1 atm. The vessel B contains 75 g gas \[{{X}_{2}}\] at the same temperature and pressure. The vapour density of \[{{X}_{2}}\] is:
question_answer70) The rate of a first order reaction is\[0.693\times {{10}^{-2}}\,mol\,{{L}^{-1}}\,{{\min }^{-1}}\] and the initial concentration of the reactants is 1 M, \[{{t}_{1/2}}\] is equal to:
question_answer73) The e.m.f. of a cell, whose half-cells are given below, is: \[M{{g}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Mg(s);\] \[E{}^\circ =-\,2.37\,\,V\] \[C{{u}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Cu(s);\] \[E{}^\circ =+\,0.34\,\,V\]
question_answer78) For the reaction\[2N{{O}_{2}}(g)\rightleftharpoons 2NO(g)+{{O}_{2}}(g)\] \[{{K}_{c}}=1.8\times {{10}^{-6}}\]at\[185{}^\circ C.\] At \[185{}^\circ C,\]the \[{{K}_{c}}\]for reaction\[NO(g)+\frac{1}{2}({{O}_{2}})\,(g)\rightleftharpoons N{{O}_{2}}(g)is:\]
question_answer79) For a reaction, \[{{C}_{6}}{{H}_{6}}(l)+\frac{15}{2}{{O}_{2}}(g)\xrightarrow{{}}3{{H}_{2}}O(l)+6{{O}_{2}}(g);\] \[\Delta H=-\,3264.6\,\,kJ\] Heat evolved when 39 g of \[{{C}_{6}}{{H}_{6}}\] are burnt is:
question_answer80) Self-ionisation of liquid ammonia occurs as \[2N{{H}_{3}}\rightleftharpoons NH_{4}^{+}+NH_{2}^{-};\] \[K={{10}^{-10}}\] In this solvent, an acid might be:
question_answer97) In the following sequence of reactions, \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}Br\xrightarrow{KOH(alc.)}(A)\xrightarrow{HBr}(B)\] \[\xrightarrow{KOH(aq.)}\,(C)\] The product C is:
question_answer100) Compounds A, on heating with ammonia, gives compound B which on treating with cone.\[{{H}_{2}}S{{O}_{4}},\]gives compound C. This compound C on reduction gives ethyl amine. What is compound A?
question_answer106) Identify the product Z in the series: \[C{{H}_{3}}CN\xrightarrow{Na/{{C}_{2}}{{H}_{5}}OH}X\xrightarrow{HN{{O}_{2}}}Y\xrightarrow{[O]}Z\]
question_answer113) The\[{{K}_{c}}\]for\[{{H}_{2}}(g)+{{I}_{2}}(g)\rightleftharpoons 2HI(g)\] is 64. If the volume of the container is reduced to one-half of its original volume, the value of the equilibrium constant will be:
question_answer115) The dissociation constant of HCN is \[5\times {{10}^{-8}}\]. The pH of the solution prepared by mixing 1.5 moles of HCN and 0.15 moles of KCN in water and making up die total volume to \[0.5\,d{{m}^{3}}\]is:
question_answer140) The floral formula \[\text{Br or EBr }\oplus \overset{\text{O}}{\mathop{+}}\,\text{K}\left( \text{5} \right)\text{C}\left( \text{5} \right){{\text{A}}_{0}}\overset{-}{\mathop{\text{G}}}\,\left( \text{3} \right)\] belongs to family:
question_answer141) Which of the following is associated with multiple phenotypes?
A)
Mutation
doneclear
B)
Polygenic inheritance When one gene is involved in the expression of more than one trait and effect more than one phenotype is called pleiotropic gene and phenomenon is known as pleiotropy.
question_answer168) How many ova and sperms would be produced from 100 secondary oocytes and 100 secondary spermatocytes during gametogenesis in humans?
question_answer184) According to the passage, the energy requirement of the future will be decided on the basis of which of the following? (i) total energy, already consumed by us in the past. (ii) level of development of oil industry. (iii) Profile of the affected people.
question_answer191) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. The quality of food served in this hotel is so poor that no respectable person would want to eat over here:
question_answer192) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. I am absolute confident what we are going to move forward strongly:
question_answer193) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. Leaving aside little room for mismterpretation, the senior politician offered clarification about his role in the party elections:
question_answer194) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. The principal lamented that though a detailed report was submitted to the management a month ago no action is being took so far:
question_answer195) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. We must make for our foreign policy on the basis of guarding national interest alone:
question_answer196) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. One of the men gave first aid to Nitesh, who is injured in a road accident:
question_answer197) Directions: In each question, a part of the sentence is italicized below each sentence four choices (a), (b), (c) and (d) are given. Find out the choice which can correctly substitute the italicized part of the sentence. Shela was going to the temple then Madhu came on meet her:
question_answer198) Directions: Pick up the most effective word from the given words to fill in the blanks to make the sentence meaningful. There is no doubt that one has to keep... with the changing times:
question_answer199) Directions: Pick up the most effective word from the given words to fill in the blanks to make the sentence meaningful. The passengers and crew members of the aeroplane had a...escape when it was taking off from the runway:
question_answer200) Directions: Pick up the most effective word from the given words to fill in the blanks to make the sentence meaningful. Eight scientists have... the national awards for outstanding contribution and dedication to the profession: