Poise is the CGS unit of coefficient of viscosity. Suppose we employ a system of units in which unit of mass is a kg, the unit of length is P metre and unit of time is y s. In this new system, 1Poise is equal to
A uniform metal disc of radius R is taken and out of it a disc of diameter R/2 is cut-off from the end. The centre of mass of the remaining part will be
The electron in a H-atom makes transition\[{{n}_{1}}\to {{n}_{2}}\]where, \[{{n}_{1}}\]and\[{{n}_{2}}\]are principal quantum numbers of two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is eight times the final state. Then, the possible value of\[{{n}_{1}}\]and\[{{n}_{2}}\]are
An ideal ammeter and an ideal voltmeter are connected as shown. The ammeter and voltmeter reading for the circuit having\[{{R}_{1}}=5\Omega \],\[{{R}_{2}}=15\Omega \],\[{{R}_{3}}=1.25\Omega \]and\[E=20\]V are given as
Two blocks are placed on a wedge with coefficients of friction being different for two blocks. Choose the correct option (friction is not sufficient to prevent the motion)
A)
if\[{{m}_{1}}<{{m}_{2}}\], then normal reaction between blocks will be non-zero
doneclear
B)
if\[{{m}_{1}}={{m}_{2}}\]then normal reaction between the blocks will be zero
doneclear
C)
if\[{{\mu }_{1}}={{\mu }_{2}}\], then normal reaction between the blocks will be zero
A rod of mass M which is non-uniformly distributed over its length L has been considered. Its linear mass density variation with distance x from left end is shown in the figure. From this information, we can conclude that the centre of mass of rod
Figure shows an Amperian path ABCDA. Part ABC is in vertical plane PSTU while part CDA is in horizontal plane PQRS. Direction of circulation along the path is shown by an arrow near points B and D. \[\oint{\mathbf{B}dI\,\,l}\]for this path according to Ampere's law will be
Directions (Q. No. 16): A voltage source\[V={{V}_{0}}\sin \] (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series. At steady state the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope as shown The element(s) present in black box is/are
Directions (Q. No. 16): A voltage source\[V={{V}_{0}}\sin \] (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series. At steady state the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope as shown Values of the parameters of the elements, present in the black box are
Directions (Q. No. 16): A voltage source\[V={{V}_{0}}\sin \] (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series. At steady state the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope as shown If AC source is removed, the circuit is shorted and then at t = 0, a battery of constant emf is connected across the black box. The current in the circuit will
A)
increase exponentially with constant\[4\times {{10}^{-3}}\]s
doneclear
B)
decrease exponentially with time constant\[1\times {{10}^{-2}}\]
doneclear
C)
oscillate with angular frequency\[20\,{{s}^{-1}}\]
Two blocks of same masses are attached with two rough pulleys of moment of inertia\[{{I}_{1}}\]and\[{{I}_{2}}\]. If both the blocks left at the same instant and let after time t the angular speeds of two pulleys are\[{{\omega }_{1}}\]and\[{{\omega }_{2}}\]then
Two mirrors, placed perpendicularly form two sides of a vessel filled with water. A light ray is incident on the water surface at an angle\[\alpha \]and emerges at an angle\[\beta \]after getting reflected from both the mirrors inside. The relation between\[\alpha \]and\[\beta \]is expressed as
Two waves are represented as\[{{y}_{1}}=2a\,\sin \left( \omega t+\frac{\pi }{6} \right)\]and\[{{y}_{2}}=-2a\,\cos \left( \omega t+\frac{\pi }{6} \right)\]. The phase difference between the two waves is
If g be the acceleration due to gravity and K be the rotational kinetic energy of the earth. If the earth's radius increases by 2% keeping mass constant, then
A car accelerates from rest in the 1st part of its journey with a m/s2 and then it retards with 2a m/s2 so as to bring it to rest again. If t is the total time of journey, then the distance travelled by car is
At rest, a liquid stands at the same level in the tubes. As the system is given an acceleration a towards the right. A height difference h occurs as shown in the figure. The value of h is
Frequencies higher than 10 MHz were found not being reflected by the ionosphere on a particular day. The maximum electron density of the ionosphere on the day was near to
If the magnitude of tangential and normal accelerations of a particle moving on a curve in a plane be constant throughout, then which of the following represent the variation of radius of curvature with time?
Which of the following have X-O-X linkage? (where, X is central atom) (i) Pyro silicate (ii) \[C{{r}_{2}}O_{7}^{2-}\] (iii) \[{{S}_{2}}O_{3}^{2-}\] (iv) Hyponitrous acid
A certain compound A when treated with copper sulphate solution yields a brown precipitate. On adding hypo solution, the precipitate turns white. The compound will be
\[{{A}_{2}}{{B}_{3}}\]is sparingly soluble salt of molecular weight M and solubility x g/L. The ratio of the molar concentration of \[[{{B}^{2-}}]\]to the solubility product of the solution will be
A metal M readily forms water soluble sulphates and water soluble hydroxide M(OH)a. Its oxide MO is amphoteric, hard and possesses high melting point. The hydroxide is also amphoteric in nature. The alkaline earth's metal M will be
Arrange the following in decreasing order of their reactivity toward S^ reaction. 1. \[M{{e}_{3}}C{{O}^{-}}\] 2. \[Me{{O}^{-}}\] 3. \[MeC{{H}_{2}}{{O}^{-}}\] 4. \[M{{e}_{2}}CH{{O}^{-}}\] 5.
A vessel of uniform cross-section of length 250 cm as shown in figure is divided in two parts by a weightless and frictionless piston. One part contains 5 moles of He (g) and other part 2 moles of \[{{\text{H}}_{\text{2}}}\] (g) and 10 moles of \[{{\text{O}}_{\text{2}}}\] (g) added at the same temperature and pressure. In which reaction takes place, finally vessel cooled to 350 K and 1 atm. What is length of compartment? (Assume piston volume and \[{{H}_{2}}O(l)\] volume is negligible)
When \[Ca{{C}_{2}}\]is hydrolysed it produces a gas which when treated with red hot tube it produces an organic compound A which on reaction with excess of \[C{{l}_{2}}\] produces a chemical compound which is used to kill insecticide [B]. Identify B
In the extraction of aluminium, Process X applied for red bauxite to remove iron oxide (main impurity). Process Y (Serpech's process) Applied for white bauxite to remove Z (main impurity), then Process X and impurity Z are
A)
X = Serpech's process and\[Z=F{{e}_{2}}{{O}_{3}}\]
doneclear
B)
X = Bayer's process and \[Z=FeO\]
doneclear
C)
X = Hall and Heroullt's process and\[Z=Si{{O}_{2}}\]
x g of non-electrolyte compound of molecular mass 200, when dissolved in 1L of 0.05 M NaCl solution, the osmotic pressure of the resulting solution is found to be 4.92 atm at \[27{}^\circ C\]. Assuming the complete dissociation of NaCI and ideal behaviour of solution, the value of x would be
Compound X and Y are treated with dilute \[{{H}_{2}}S{{O}_{4}}\] separately. The gases liberated are P and Q. P turns acidified \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] paper green while gas Q turns lead acetate paper black. The compounds X and y are
Some half-cell reaction and their standard potentials are given as below \[MnO_{4}^{-}(aq)+8{{H}^{+}}(aq)+5{{e}^{-}}\xrightarrow[{}]{{}}\]\[M{{n}^{2+}}(aq)+4{{H}_{2}}O(l);\] \[{{E}^{0}}=-1.51\text{V}\] \[C{{r}_{2}}O_{7}^{2-}(aq)+14{{H}^{+}}(aq)+6{{e}^{-}}\xrightarrow[{}]{{}}\] \[2C{{r}^{3+}}(aq)+7{{H}_{2}}O(l);\] \[{{E}^{0}}=-1.38\text{V}\] \[F{{e}^{3+}}(aq)+{{e}^{-}}\xrightarrow[{}]{{}}F{{e}^{2+}}(aq);\] \[{{E}^{0}}=0.77\,\text{V}\] \[C{{l}_{2}}(g)+2{{e}^{-}}\xrightarrow[{}]{{}}2C{{l}^{-}}(aq);\] \[{{E}^{0}}=1.40\,\text{V}\] Identify the incorrect statement.
A)
\[MnO_{4}^{-}\]is weaker oxidising agent than \[C{{l}_{2}}\]
doneclear
B)
\[C{{r}_{2}}O_{7}^{2-}\] is weaker oxidising agent than \[C{{l}_{2}}\]
doneclear
C)
\[MnO_{4}^{-}\] is stronger oxidising agent than \[F{{e}^{3+}}\]
What will be the degree of un saturation in the product when a compound having molecular formula \[{{C}_{4}}{{H}_{6}}BrCl\] is treated with metallic sodium in ether? Given that halogens are present on opposite comer in a cyclic compound.
\[\underset{\begin{smallmatrix} \text{Imparts}\,\text{violet} \\ \text{colour}\,\text{to}\,\text{flame} \end{smallmatrix}}{\mathop{\text{A}}}\,\xrightarrow[{}]{\text{compound}\,\text{(P)+conc}\text{.}{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}}\underset{\text{Red}\,\text{gas}}{\mathop{\text{B}}}\,\xrightarrow[{}]{\text{NaOH+AgN}{{\text{O}}_{\text{3}}}}\]\[\underset{\text{Red}\,\text{ppt,}}{\mathop{\text{C}}}\,\xrightarrow[\text{solution}]{\text{N}{{\text{H}}_{\text{3}}}}\text{D}\]\[\text{C}\xrightarrow[{}]{\text{Dil}\,\text{HCl}}\text{X}\]white ppt. \[\text{P}\xrightarrow[\text{Heat}]{\text{NaOH}}\text{Q}\]Gas (gives white fumes with HCl) Then, A, B, C, D, X , P and Q are
If in this reaction two isomers of the product are obtained. Which statement is true for the initial (reactant) complex? \[{{[CoC{{l}_{2}}{{(N{{H}_{3}})}_{4}}]}^{+}}+C{{l}^{-}}\xrightarrow[{}]{{}}[CoC{{l}_{3}}{{(N{{H}_{3}})}_{3}}]\]\[+N{{H}_{3}}\]
In an iodometric estimation, following reactions occur. \[2C{{u}^{2}}+4{{I}^{-}}\xrightarrow[{}]{{}}C{{u}_{2}}{{I}_{2}}+{{I}_{2}}\] \[{{I}_{2}}+2N{{a}_{2}}{{S}_{2}}{{O}_{3}}\xrightarrow[{}]{{}}2NaI+N{{a}_{2}}{{S}_{4}}{{O}_{6}}\] 0.24 mole of \[CuS{{O}_{4}}\] was added to excess of KI solution and the liberated iodine required 240 mL of hypo. Then, find the molarity of hypo solution.
For reaction \[A\to B\]the rate constant \[{{k}_{1}}={{A}_{1}}{{e}^{-{{E}_{{{a}_{1}}}}/RT}}\] and for the reaction \[X\to Y\] the rate constant \[{{k}_{1}}={{A}_{2}}\,{{e}^{-{{E}_{{{a}_{2}}}}/RT}}\], if \[{{A}_{1}}={{10}^{10}}\],\[{{A}_{2}}={{10}^{12}}\] and \[{{E}_{{{a}_{1}}}}=800\,\text{cal/mol}\],\[{{E}_{{{a}_{2}}}}=1600\,\text{cal/mol}\], then temperature at which \[{{k}_{1}}={{k}_{2}}\] is (given R = 2 cal/K-mol)
Benzaldehyde undergo Claisen condensation to give cinnamaldehyde on reaction with \[[\alpha ]\] in presence of base, \[[\alpha ]\]and degree of unsaturation in cinnamaldehyde is
Determine \[\Delta {{U}^{o}}\]at 400 K for the following reaction using the listed enthalpies of reaction. \[4CO(g)+8{{H}_{2}}(g)\xrightarrow[{}]{{}}\] \[3C{{H}_{4}}(g)+C{{O}_{2}}(g)+2{{H}_{2}}O(l)\]
Statement I All the values \[\Delta G,\Delta H,\Delta S\]must have negative value for adsorption.
Statement II Adsorption is a spontaneous as well as exothermic process in which randomness decreases. The decrease in randomness is due to increase in attraction between adsorbate and adsorbent.
A)
Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I
doneclear
B)
Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I
A pack of playing cards was found to contain only 51 cards. If the first 13 cards, which are examined are all red, the probability that the missing card is black is
10 different letters of english alphabet are given words of 5 letters are formed from these given letters. How many words are formed when at least one letter is repeated?
If \[(\sqrt{3})bx+ay=2ab\]touches the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1,\]then the eccentric angle \[\theta \] of the point of contact is
If a, b are positive quantities and if \[{{a}_{1}}=\frac{a+b}{2},{{b}_{1}}=\sqrt{{{a}_{1}}b,}{{a}_{2}}=\frac{{{a}_{1}}+{{b}_{1}}}{2},{{b}_{2}}=\sqrt{{{a}_{2}}{{b}_{1}}}\]... and so on, then
Let \[f(x)=\left\{ \begin{align} & \frac{1+\cos x}{{{(\pi /x)}^{2}}}.\frac{{{\sin }^{2}}x}{\log (1+{{\pi }^{2}}-2\pi x+{{x}^{2}})},x\ne \pi \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,x=\pi \\ \end{align} \right..\] If f (x) is continuous function at \[x=\pi ,\]then k is equal to
The greater of the two angles \[A=2{{\tan }^{-1}}(2\sqrt{2}-1)\]and \[B=3{{\sin }^{-1}}\left( \frac{1}{3} \right)+\]\[{{\sin }^{-1}}\left( \frac{3}{5} \right)\] is
Statement I The number of common tangents to the circle x2 + y2 = 4 and x2 + y2 - 8x - 6y - 24 = 0 is 4.
Statement II Circle with centre \[{{c}_{1}},{{c}_{2}}\] and radii \[{{r}_{1}},{{r}_{2}}\] and if \[|{{e}_{1}}{{e}_{2}}|>{{r}_{1}}+{{r}_{2}}\] , then circles have 4 common tangents.
A)
Both Statement I and Statement II are true and the Statement II is the correct explanation of the Statement I
doneclear
B)
Both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement I