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Physics
Q.1 Light of wavelength ‘, \lambda ‘ is incident on a slit of width ‘ d ‘. The resulting diffraction pattern is observed on a screen at a distance ‘ D ‘. The linear width of the principal maximum is then equal to the width of the slit if D equals
A. \frac{d}{\lambda}
B. \frac{\mathrm{d}^{2}}{2 \lambda}
C. \frac{2 \lambda}{d}
D. \frac{2 \lambda^{2}}{d}
Answer: B) \frac{\mathrm{d}^{2}}{2 \lambda}
Q.2. Two S.H.Ms. are represented by equations
\mathrm{y}_{1}=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)and
\mathrm{y}_{2}=0.1 \cos (100 \pi \mathrm{t})The phase difference between the speeds of the two particles is
A. \frac{\pi}{3}
B. -\frac{\pi}{6}
C. +\frac{\pi}{6}
D. -\frac{\pi}{3}
Answer :- B. -\frac{\pi}{6}
Q.3. A film of soap solution is formed between two straight parallel wires of length 10 cm each separated by 0.5 cm . If their separation is increased by 1 mm while still maintaining their parallelism. How much work will have to be done?
(surface tension of solution =65 \times 10^{-2} \mathrm{~N} / \mathrm{m} )
A. 7.22 \times 10^{-6} \mathrm{~J}
B. 13.0 \times 10^{-5} \mathrm{~J}
C. 2.88 \times 10^{-5} \mathrm{~J}
D. 5.76 \times 10^{-5} \mathrm{~J}
Answer: B) 13.0 \times 10^{-5} \mathrm{~J}
Q.4. An ideal gas in a container of volume 500 c.c. is at a pressure of 2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^{2}. The average kinetic energy of each molecule is 6 \times 10^{-21} \mathrm{~J}. The number of gas molecules in the container is
A. 5 \times 10^{25}
B. 5 \times 10^{23}
C. 25 \times 10^{23}
D. 2.5 \times 10^{22}
Answer :- D
Q.5. A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If \gamma=1.5, then the final pressure is
A. 4 times
B. 1.5 times
C. 8 times
D. \frac{1}{4} times
Answer: C
Q.6. A particle of mass ‘m ‘ moves along a circle of radius ‘r ‘ with constant tangential acceleration. If K.E. of the particle is ‘E ‘ by the end of third revolution after beginning of the motion, then magnitude of tangential acceleration is
A. \frac{E}{2 \pi \mathrm{rm}}
B. \frac{\mathrm{E}}{6 \pi \mathrm{rm}}
C. \frac{\mathrm{E}}{8 \pi \mathrm{rm}}
D. \frac{\mathrm{E}}{4 \pi \mathrm{rm}}
Answer: B. \frac{\mathrm{E}}{6 \pi \mathrm{rm}}
Q.7. An e.m.f. E=4 \cos (1000 t) volt is applied to an LR circuit of inductance 3 mH and resistance 4 \Omega. The maximum current in the circuit is
A. \frac{4}{\sqrt{7}} \mathrm{~A}
B. 1.0 A
C. \frac{4}{7} \mathrm{~A}
D. 0.8 A
Answer: D) 0.8 A
Q.8. In the reverse biasing of a p-n junction diode :
A. the width of the depletion layer decreases.
B. the width of the depletion layer increases.
C. the number of minority charge carriers increase.
D. the number of majority charge carriers increase.
Answer: B) the width of the depletion layer increases.
Q.9. When a charge of 3 C is placed in uniform electric field, it experiences a force of 3000 N . Within this field, potential difference between two points separated by a distance of 1 cm is
A. 10 V
B. 90 V
C. 1000 V
D. 3000 V
Answer: A
Q.10. A soap bubble of radius ‘ R ‘ is blown. After heating a solution, a second bubble of radius ‘ 2 R ‘ is blown. The work required to blow the 2^{\text {nd }} bubble in comparison to that required for the 1^{\text {st }} bubble is
A. exactly double.
B. slightly more than 4 times.
C. slightly less than 4 times.
D. slightly less than double.
Answer: C) slightly less than 4 times.
Q.11.In a transistor, in common emitter configuration, the ratio of power gain to voltage gain is
A. \alpha
B. \frac{\beta}{\alpha}
C. \beta \alpha
D. \beta
Answer: D) \beta
Q.12. A galvanometer of resistance 20 \Omega gives a deflection of 5 divisions when 1 mA current flows through it. The galvanometer scale has \mathbf{5 0} divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance of
A. 1240 \Omega in series.
B. 2480 \Omega in series.
C. 2480 \Omega in parallel.
D. 20 \Omega in parallel.
Answer: B) 2480 \Omega in series.
Q.13. The equation of simple harmonic progressive wave is given by y=a \sin 2 \pi(b t-c x). The maximum particle velocity will be half the wave velocity, if c =
A. 2 \pi \mathrm{a}
B. \frac{1}{4 \pi \mathrm{a}}
C. \frac{1}{2 \pi \mathrm{a}}
D. 4 \pi \mathrm{a}
Answer: B) \frac{1}{4 \pi \mathrm{a}}
Q.14.Five current carrying conductors meet at a point ‘ O ‘ as shown in figure. The magnitude and direction of the current in conductor ‘ O P ‘ is
A. 6.5 A from O to P .
B. 9 A from P to O .
C. 10.5 A from P to O .
D. 11.5 A from O to P .
Answer: D) 11.5 A from O to P .
Q.15. An alternating voltage of frequency ‘ \omega ‘ is induced in electric circuit}
consisting of an inductance ‘ L ‘ and capacitance ‘ C ‘, connected in parallel. Then across the inductance coil
A. current is maximum when \omega^{2}=\frac{1}{\mathrm{LC}}
B. current is zero
C. voltage is minimum when \omega^{2}=\frac{1}{\mathrm{LC}}
D. voltage is maximum when \omega^{2}=\frac{1}{\mathrm{LC}}
Answer: D) voltage is maximum when \omega^{2}=\frac{1}{\mathrm{LC}}
Q.16.A gas is compressed at a constant pressure of 50 \mathrm{~N} / \mathrm{m}^{2} from a volume of 10 \mathrm{~m}^{3} to a volume of 4 \mathrm{~m}^{3}. Energy of 100 J is then added to the gas by heating. Its internal energy is
A. increased by 400 J
B. increased by 200 J
C. increased by 100 J
D. decreased by 200 J
Answer: A) increased by 400 J
Q.17.The reactance of capacitor at 50 Hz is 5 \Omega. If the frequency is increased to 100 Hz , the new reactance is
A. 5 \Omega
B. 10 \Omega
C. 2.5 \Omega
D. 125 \Omega
Answer: C) 2.5 \Omega
Q.18. Stationary waves cae be produced in
A. only solid and gaseous media
B. only liquid and gaseous media
C. only solid and liquid media
D. solid, liquid and gaseous media
Answer: D) solid, liquid and gaseous media
Q.19. The pressure exerted by an ideal gas at a particular temperature is directly proportional to
A. the mean speed of the gas molecules.
B. mean of the square of the speed of the gas molecules.
C. the square of the mean speed of the gas molecules.
D. the root mean square speed of the gas molecules.
Answer: B) mean of the square of the speed of the gas molecules.
Q.20. If a ray of light in denser medium strikes a rarer medium at angle of incidence i, the angles of reflection and refraction are r and r^{\prime} respectively. If the reflected and refracted rays are at right angles to each other, the critical angle for the given pair of media is
A. \sin ^{-1}\left(\tan r^{\prime}\right)
B. \sin ^{-1}(\tan r)
C. \tan ^{-1}(\sin \mathrm{i})
D. \cot ^{-1}(\tan \mathrm{i})
Answer :- B) \sin ^{-1}(\tan r)
Q.21. A spring has a certain mass suspended from it and its period for vertical oscillations is ‘ T_{1} ‘. The spring is now cut in to two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now ‘ T_{2} ‘. The ratio T_{1} / T_{2} is
A. 2
B. \sqrt{2}
C. \frac{1}{\sqrt{2}}
D. \frac{1}{2}
Answer: B) \sqrt{2}
Q.22. When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are v_{1} and v_{2} respectively. The ratio is
\mathrm{v}_{1}: \mathrm{v}{2}A. \sqrt{2}: 1
B. \sqrt{3}: 1
C. \sqrt{3}: \sqrt{2}
D. 1: \sqrt{2}
Answer: D) 1: \sqrt{2}
Q.23. A simple pendulum of length 2 m is given a horizontal push through angular displacement of 60^{\circ}. If the mass of bob is 200 gram, the angular velocity of the bob will be (Take Acceleration due to gravity =10 \mathrm{~m} / \mathrm{s}^{2} ) \left(\sin 30^{\circ}=\cos 60^{\circ}=0.5, \cos 30^{\circ}=\sin 60^{\circ}=\sqrt{3} / 2\right)
A. 2 \sqrt{2} \mathrm{rad} / \mathrm{s}
B. 3 \sqrt{2} \mathrm{rad} / \mathrm{s}
C. 2 \sqrt{2.5} \mathrm{rad} / \mathrm{s}
D. 3 \sqrt{2.5} \mathrm{rad} / \mathrm{s}
Answer: C) 2 \sqrt{2.5} \mathrm{rad} / \mathrm{s}
Q.24. The force acting on the electron in hydrogen atom (Bohr’ theory) is related to the principle quantum number ‘ n ‘ as
A. \mathrm{n}^{4}
B. \mathrm{n}^{-4}
C. \mathrm{n}^{2}
D. \mathrm{n}^{-2}
Answer: B) \mathrm{n}^{-4}
Q.25. If the frequency of the input voltage is 50 Hz , applied to a (a) half wave rectifier and (b) full wave rectifier. The output frequency in both cases is respectively
A. 50 \mathrm{~Hz}, 50 \mathrm{~Hz}
B. 50 \mathrm{~Hz}, 100 \mathrm{~Hz}
C. 100 \mathrm{~Hz}, 100 \mathrm{~Hz}
D. 100 \mathrm{~Hz}, 50 \mathrm{~Hz}
Answer: B) 50 \mathrm{~Hz}, 100 \mathrm{~Hz}
Q.26. Periodic time of a satellite revolving above the earth’s surface at a height equal to radius of the earth ‘ R ‘ is [ g= acceleration due to gravity]
A. 2 \pi \sqrt{\frac{2 R}{g}}
B. 4 \pi \sqrt{\frac{2 R}{g}}
C. 2 \pi \sqrt{\frac{R}{g}}
D. 8 \pi \sqrt{\frac{\mathrm{R}}{\mathrm{g}}}
Answer: B) 4 \pi \sqrt{\frac{2 R}{g}}
Q.27. The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [Take hc =1240 \mathrm{eV} – nm, change
in energy of the levels =10.2 \mathrm{eV} ]
A. 150 nm
B. 122 nm
C. 102 nm
D. 82 nm
Answer: B) 122 nm
Q.28. In Young’s double slit experiment, the wavelength of light used is ‘ \lambda ‘. The intensity at a point is ‘ I ‘ where path difference is \left(\frac{\lambda}{4}\right). If I_{0} denotes the maximum intensity, then the ratio \left(\frac{I}{I_{0}}\right) is
\left(\sin \frac{\pi}{4}=\cos \frac{\pi}{4}=\frac{1}{\sqrt{2}}\right)A. \frac{1}{\sqrt{2}}
B. \frac{1}{2}
C. \frac{3}{4}
D. \frac{\sqrt{3}}{2}
Answer: B
Q.29. The side of a copper cube is 1 m at 0^{\circ} \mathrm{C}. What will be the change in its volume, when it is heated to 100^{\circ} \mathrm{C} ? [ \left.\alpha_{\text {copper }}=18 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right]
A. 45 \times 10^{-4} \mathrm{~m}^{3}
B. 54 \times 10^{-4} \mathrm{~m}^{3}
C. 34 \times 10^{-4} \mathrm{~m}^{3}
D. 64 \times 10^{-4} \mathrm{~m}^{3}
Answer: B) 54 \times 10^{-4} \mathrm{~m}^{3}
Q.30. If current ‘ I ‘ is flowing in the closed circuit with collective resistance ‘ R ‘, the rate of production of heat energy in the loop as we pull it along with a constant speed ‘ V ‘ is ( L= length of conductor, B= magnetic field)
A. \frac{\mathrm{BLV}}{\mathrm{R}}
B. \frac{B^{2} L^{2} V^{2}}{R^{2}}
C. \frac{B L V}{R^{2}}
D. \frac{B^{2} L^{2} V^{2}}{R}
Answer: D) \frac{B^{2} L^{2} V^{2}}{R}
Q.31. Two coils A and B have mutual inductance 0.008 H . The current changes in the coil A , according to the equation
\mathrm{I}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}, where
\mathrm{I}_{\mathrm{m}}=5 \mathrm{~A}and \omega=200 \pi \mathrm{rad} \mathrm{s}^{-1}. The maximum value of the e.m.f. induced in the coil B in volt is
A. 4 \pi
B. 8 \pi
C. 10 \pi
D. 16 \pi
Answer: B) 8 \pi
Q.32. A thin rod of length L has magnetic moment M when magnetised. If rod is bent in a semicircular arc what is magnetic moment in new shape?
A. \frac{M}{L}
B. \frac{M}{\pi}
C. \frac{\mathrm{M}}{2 \pi}
D. \frac{2 \mathrm{M}}{\pi}
Answer: D) \frac{2 \mathrm{M}}{\pi}
Q.33. A fluid of density ‘ \rho ‘ and viscosity ‘ \eta ‘ is flowing through a pipe of diameter ‘ d ', with a velocity ‘ v ‘. Reynold number is
A. \frac{2 \mathrm{~d} \rho \mathrm{v}}{\eta}
B. \frac{\mathrm{d} \rho \mathrm{v}}{\eta}
C. \frac{\mathrm{d} \rho v}{\eta^{2}}
D. \frac{2 \eta \mathrm{dv}}{\rho}
Answer: B) \frac{\mathrm{d} \rho \mathrm{v}}{\eta}
Q.34. In Young’s double slit experiment, the fringe width is 2 mm . The separation between the 13^{\text {th }} bright fringe and the 4^{\text {th }} dark fringe from the centre of the screen on same side will be
A. 13 mm .
B. 17 mm .
C. 19 mm .
D. 23 mm .
Answer: C) 19 mm
Q.35. 10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is 1 \times 10^{-3} \mathrm{~N}. If the current is doubled in both the wires the force will be
A. 1 \times 10^{-3} \mathrm{~N}
B. 2 \times 10^{-3} \mathrm{~N}
C. 4 \times 10^{-3} \mathrm{~N}
D. 0.25 \times 10^{-3} \mathrm{~N}
Answer: C) 4 \times 10^{-3} \mathrm{~N}
Q.36. Consider a planet whose density is same as that of the earth but whose radius is three times the radius ‘ R ‘ of the earth. The acceleration due to gravity ‘gn‘ on the surface of planet is gn=x.g , where g is acceleration due to gravity on surface of earth. The value of ‘ x ‘ is
A. 9
B. 3
C. \frac{1}{3}
D. \frac{1}{9}
Answer: B) 3
Q.37. When a certain metal surface is illuminated with light of frequency v, the stopping potential for photoelectric current is ‘Vo‘. When the same surface is illuminated by light of frequency \frac{v}{2}, the stopping potential is \frac{V_{o}}{4}, the threshold frequency of photoelectric emission is
A. \frac{v}{6}
B. \frac{v}{3}
C. \frac{2 v}{3}
D. \frac{4 v}{3}
Answer: B) \frac{v}{3}
Q.38.If the length of an open organ pipe is 33.3 cm , then the frequency of fifth overtone is [Neglect end correction, velocity of sound =333 \mathrm{~m} / \mathrm{s} ]
A. 3500 Hz
B. 3000 Hz
C. 2500 Hz
D. 2000 Hz
Answer: B) 3000 Hz
Q.39. A transparent glass cube of length 24 cm has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is 10 cm from the surface. When seen normally from opposite surface, its apparent distance is 6 cm . The distance of the air bubble from first surface is
A. 15 cm
B. 14 cm
C. 12 cm
D. 8 cm
Answer: A. 15 cm
Q.40. The temperature of an ideal gas is increased from 27^{\circ} \mathrm{C} to 927^{\circ} \mathrm{C}. The r.m.s. speed of its molecules becomes
A. twice
B. four times.
C. half.
D. one-fourth
Answer: A) twice
Q.41. A disc of radius R and thickness \frac{R}{6} has moment of inertia I about an axis passing through its centre and perpendicular to its plane. Dise is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is
A. \frac{\mathrm{I}}{5}
B. \frac{\mathrm{I}}{6}
C. \frac{\mathrm{I}}{32}
D. \frac{\mathrm{I}}{64}
Answer: A) \frac{\mathrm{I}}{5}
Q.42. A charge ‘ q ‘ moves with velocity ‘ v ‘ through electric ( \mathbf{E} ) as well as magnetic field (B). Then the force acting on it is
A. q(\vec{v} \times \vec{B})
B. q(\vec{B} \times \vec{v})
C. q(\vec{E} \times \vec{v})
D. \overrightarrow{q E}+q(\vec{v} \times \vec{B})
Answer: D) \overrightarrow{q E}+q(\vec{v} \times \vec{B})
Q.43. A parallel combination of two capacitors of capacities ‘ 2 C ‘ and ‘ C ‘ is connected across 5 V battery. When they are fully charged, the charges and energies stored in them be ‘Q1‘, ‘ Q2‘ and E1‘, ‘E2‘ and ‘ E_{1}{ }^{\prime}, ' E_{2} ‘ respectively. Then \frac{E_{1}-E_{2}}{Q_{1}-Q_{2}} in \mathrm{J} / \mathrm{C} is (capacity is in Farad, charge in Coulomb and energy in J )
A. \frac{5}{4}
B. \frac{4}{5}
C. \frac{5}{2}
D. \frac{2}{5}
Answer: C) \frac{5}{2}
Q.44. Consider the following statements A and B . Identify the correct choice in the given answers.
A. In an inelastic collision, there is no loss in kinetic energy during collision.
B. During a collision, the linear momentum of the entire system of particles is conserved if there is no external force acting on the system.}
A. Both A and B are wrong.
B. Both A and B are correct.
C. A is wrong and B is correct.
D. A is correct and B is wrong.
Answer: C) A is wrong and B is correct.
Q.45. The charges 2 \mathrm{q},-\mathrm{q},-\mathrm{q} are located at the vertices of an equilateral triangle. At the circumcentre of the triangle
A. the field is zero but potential is not zero.
B. the field is non-zero but the potential is zero.
C. both, field and potential are zero.
D. both. field and potential are non-zero
Answer: B
Q.46. The magnetic field at a point P situated at perpendicular distance ‘ R ‘ from a long straight wire carrying a current of 12 A is 3 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}. The value of ‘ R ‘ in mm is \left[\mu_{0}=4 \pi \times 10^{-7} \mathrm{~Wb} / \mathrm{Am}\right]
A. 0.08
B. 0.8
C. 8
D. 80
Answer: D) 80
Q.47. A particle at rest starts moving with constant angular acceleration 4 \mathrm{rad} / \mathrm{s}^{2} in circular path. At what time the magnitudes of its tangential acceleration and centrifugal acceleration will be equal?
A. 0.4 s
B. 0.5 s
C. 0.8 s
D. 1.0 s
Answer: B) 0.5 s
Q.48. If the end correction of an open pipe is 0.8 cm , then the inner radius of that pipe is
A. \frac{1}{3} \mathrm{~cm}
B. \frac{2}{3} \mathrm{~cm}
C. \frac{3}{2} \mathrm{~cm}
D. 0.2 cm
Answer: B) \frac{2}{3} \mathrm{~cm}
Q.49. The mutual inductance (M) of the two coils is 3 H . The self inductances of the coils are 4 H and 9 H respectively. The coefficient of coupling between the coils is
A. 0.3
B. 0.4
C. 0.5
D. 0.6
Answer: C
Q.50. A particle is vibrating in S.H.M. with an amplitude of 4 cm . At what displacement from the equilibrium position is its energy half potential and half kinetic?
A. 1 cm
B. \sqrt{2} \mathrm{~cm}
C. 2 cm
D. 2 \sqrt{2} \mathrm{~cm}
Answer: D) 2 \sqrt{2} \mathrm{~cm}
Chemistry
Q.1. Identify monodentate ligand from the following.
A. Cyanide ion
B. Ethylenediamine
C. Oxalate ion
D. Ethylendiaminetetraacetate
Answer: A) Cyanide ion
Q.2. Identify linear polymer from the following.
A. High density polythene
B. Low density polythene
C. Bakelite
D. Melamine
Answer: A) High density polythene
Q.3 What is the conductivity of 0.05 \mathrm{M} \mathrm{BaCl}_{2} solution if its molar conductivity is 220 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1} ?
A. 0.011 \Omega^{-1} \mathrm{~cm}^{-1}
B. 0.022 \Omega^{-1} \mathrm{~cm}^{-1}
C. 0.033 \Omega^{-1} \mathrm{~cm}^{-1}
D. 0.044 \Omega^{-1} \mathrm{~cm}^{-1}
Answer: A) 0.011 \Omega^{-1} \mathrm{~cm}^{-1}
Q.4. Which from following polymers is grouped in the category of elastomers?
A. Nylon 6,6
B. Buna-S
C. Terylene
D. Polythene
Answer: B Buna-S
Q.5. Which element from following exhibits diagonal relationship with beryllium?
A. B
B. Na
C. Mg
D. Al
Answer: D) Al
Q.6. What is the stock notation of Manganese dioxide?
(A) \mathrm{Mn}(\mathrm{I}) \mathrm{O}_{2}
(B) \mathrm{Mn}(\mathrm{II}) \mathrm{O}_{2}
(C) \mathrm{Mn}(\mathrm{III}) \mathrm{O}_{2}
(D) \mathrm{Mn}(\mathrm{IV}) \mathrm{O}_{2}
Answer: D)
\mathrm{Mn}(\mathrm{IV}) \mathrm{O}_{2}Q.7. A reaction,
\mathrm{Ni}_{(\mathrm{s})}+\mathrm{Cu}_{((\mathrm{M}))}^{+} \rightarrow \mathrm{Ni}_{(\mathrm{IM})}^{+}+\mathrm{Cu}_{(\mathrm{s})}occurs in a cell. Calculate
\mathrm{E}_{\text {cell }}^{\circ}if E_{Cu}^{o}= 0.337 V and \mathrm{E}_{\mathrm{Ni}}^{\circ}=-0.257 \mathrm{~V}
A. 0.594 V
B. -0.594 V
C. -0.08 V
D. 0.08 V
Answer: A) 0.594 V
Q.8. What volume of ammonia is formed when 10 \mathrm{dm}^{3} dinitrogen reacts with 30 \mathrm{dm}^{3} dihydrogen at same temperature and pressure?
A. 30 \mathrm{dm}^{3}
B. 20 \mathrm{dm}^{3}
C. 15 \mathrm{dm}^{3}
D. 10 \mathrm{dm}^{3}
Answer: B) 20 \mathrm{dm}^{3}
Q.9. What is the number of moles of \mathrm{sp}^{2} hybrid carbon atoms present in n moles of isopentane?
A. zero
B. one
C. two
D. three
Answer :- (A) zero
Q.10. Find solubility of \mathrm{PbI}_{2} if its solubility product is 7.0 \times 10^{-9}.
A. 1.21 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}
B. 3.228 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}
C. 2.831 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}
D. 1.811 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}
Answer: A) 1.21 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}
Q.11. Identify the product formed when vapours of 2-methylpropan-2-ol are passed over hot copper.
A. Propanone
B. 2-Methylpropene
C. 2-Methylpropanoic acid
D. Propanal
Answer: B) 2-Methylpropene
Q.12. Calculate the rate constant of first order reaction if the concentration of the reactant decreases by 90 \% in 30 minutes.
A. 7.7 \times 10^{-2} minute ^{-1}
B. 4.2 \times 10^{-2} minute ^{-1}
C. 2.1 \times 10^{-2} minute ^{-1}
D. 3.5 \times 10^{-2} minute ^{-1}
Answer: A) 7.7 \times 10^{-2} minute ^{-1}
Q.13. What different elements are found in baryte?
A. \mathrm{Ca}, \mathrm{S}, \mathrm{O}
B. \mathrm{Zn}, \mathrm{S}, \mathrm{O}
C. \mathrm{Ba}, \mathrm{S}, \mathrm{O}
D. \mathrm{Mg}, \mathrm{S}, \mathrm{H}, \mathrm{O}
Answer: C) . \mathrm{Ba}, \mathrm{S}, \mathrm{O}
Q.14. Identify the product ‘ B ‘ in the following reaction.
Cumene \xrightarrow[\Delta]{\mathrm{KMnO}_{4} \cdot \mathrm{KOH}} \mathbf{A} \xrightarrow{\mathrm{H}_{3} \mathrm{O}^{+}} \mathbf{B}
A. Phenol
B. Potassium benzoate
C. Benzoic acid
D. Aniline
Answer: C) Benzoic acid
Q.15. Which of the following on reaction with ammoniacal silver nitrate forms silver precipitate?
A. Ethanol
B. Ethanal
C. Ethoxyethane
D. Ethanoic acid
Answer: B. Ehanol
Q.16. Identify an aromatic, mixed, 3^{\circ} amine from following.
A.
(B) \left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{3} \mathrm{~N}
(C) \left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{NH}_{2}
D.
Answer: D
Q.17. For \mathrm{NaCl}_{(\mathrm{s})} enthalpy of solution is 4 \mathrm{~kJ} \mathrm{~mol}^{-1} and lattice enthalpy is 790 \mathrm{~kJ} \mathrm{~mol}^{-1}. What is hydration enthalpy of NaCl ?
A. 786 kJ
B. 794 kJ
C. -786 kJ
D. -794 kJ
Answer: C) -786 kJ
Q.18. Which from following statements regarding transition elements is NOT CORRECT?
A. These exhibit properties between ‘ s ‘ and ‘ p ‘ block elements.
B. These form cations with incomplete d-subshell.
C. 5d series consists of all elements from lanthanum to mercury of periodic table.
D. These are arranged in four different ‘ d ‘ series.
Answer: C) 5d series consists of all elements from lanthanum to mercury of periodic table.
Q.19. A solution of 8 g of certain organic compound in 2 \mathrm{dm}^{3} water develops osmotic pressure 0.6 atm at 300 K . Calculate the molar mass of compound.
[R=0.082 atm dm3 K-1 mol-1]
A. 148 \mathrm{~g} \mathrm{~mol}^{-1}
B. 164 \mathrm{~g} \mathrm{~mol}^{-1}
C. 172 \mathrm{~g} \mathrm{~mol}^{-1}
D. 180 \mathrm{~g} \mathrm{~mol}^{-1}
Answer: B) 164 \mathrm{~g} \mathrm{~mol}^{-1}
Q.20. What is the value of \Delta H-\Delta U for the following reaction?
2 \mathrm{C}_{(\mathrm{s})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow \mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{~g})A. 4RT
B. -5 R T
C. RT
D. -2 R T
Answer: D) -2 R T
Q.21. Which from the following compound solutions in water of equal concentration has electrical conductivity nearly same as distilled water?
A. Urea
B. Sodium chloride
C. Sodium hydroxide
D. Acetic acid
Answer: A
Q.22. What is the pH of a solution containing 2.2 \times 10^{-6} \mathrm{M} hydrogen ions?
A. 6.34
B. 5.66
C. 4.34
D. 3.80
Answer :- (B) 5.66
Q.23. Which of the following statements is NOT true about Rutherford atomic model?
A. Each atom consists of massive, +vely charged centre.
B. The electrons are revolving continuously around the nucleus.
C. This model does not describe the distribution of electrons around the nucleus.
D. This model describes the energies of electrons.
Answer: D) This model describes the energies of electrons.
Q.24. What is IUPAC name of propylene glycerol?
A. Propane-1,2-diol
B. Propane-1,3-diol
C. Propane-1,2,3-triol
D. Propene-1,2,3-triol
Answer :- C. Propane-1,2,3-triol
Q.25. Identify the CORRECT decreasing order of melting point of cluster of sodium atoms depending on size.
A. Cluster of 10^{3} atoms > cluster of 10^{4} atoms > Bulk sodium
B. Bulk sodium > cluster of 10^{4} atoms > Cluster of 10^{3} atoms
C. Cluster of 10^{4} atoms > Cluster of 10^{3} atoms > Bulk sodium
D. Bulk sodium > cluster of 10^{3} atoms > Cluster of 10^{4} atoms
Answer: B) Bulk sodium > cluster of 10^{4} atoms > Cluster of 10^{3} atoms
Q.26. Which from the following coordinate complexes contains anionic and neutral ligands in it?
A. Potassium trioxalatoaluminate(III)
B. Hexacyanoferrate (II)
C. Pentaamminecarbonatocobalt (III) chloride
D. Tetraamminecopper(II) ion
Answer: C) Pentaamminecarbonatocobalt (III) chloride
Q.27. Which among the following is allylic halide?
(A) \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{X}
(B) \mathrm{C}_{6} \mathrm{H}_{5}-\mathrm{CH}_{2}-\mathrm{X}
(C) \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2} \mathrm{X}
D. \mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\mathrm{X}
Answer: C)
\mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2} \mathrm{X}Q.28. Which of the following compounds has the highest boiling point?
A. Chloromethane
B. Fluoromethane
C. Iodomethane
D. Bromomethane
Answer: C) Iodomethane
Q.29. A solution of nonvolatile solute is obtained by dissolving 1 g in 100 g solvent, decreases its freezing point by 0.3 K . Calculate cryoscopic constant of solvent if molar mass of solute is 60 \mathrm{~g} \mathrm{~mol}^{-1}.
A. 1.0 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}
B. 1.4 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}
C. 2.4 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}
D. 1.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}
Answer: D. 1.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}
Q.30. What is the IUPAC name of allylamine?
A. Propan-1-amine
B. Prop-2-en-1-amine
C. Prop-1-en-2-amine
D. Propan-2-amine
Answer: B) Prop-2-en-1-amine
Q.31. What is the wave number of photon emitted during transition from orbit, \mathrm{n}=4 to \mathrm{n}=2 in hydrogen atom \left[R_{H}=109677 \mathrm{~cm}^{-1}\right]
A. 20564.44 \mathrm{~cm}^{-1}
B. 23032.17 \mathrm{~cm}^{-1}
C. 15354.78 \mathrm{~cm}^{-1}
D. 25225.7 \mathrm{~cm}^{-1}
Answer: A) 20564.44 \mathrm{~cm}^{-1}
Q.32. Which from following is a CORRECT bond line formula of
\mathrm{HO}\left(\mathrm{CH}_{2}\right)_{3} \mathrm{CH}\left(\mathrm{CH}_{3}\right) \mathrm{CH}\left(\mathrm{CH}_{3}\right)_{2}
Answer: D
Q.33. Identify the carbon atoms of \alpha-glucose and \beta-fructose forming glycosidic linkage in sucrose.
A. C – 1 of \beta-fructose and \mathrm{C}-2 of \alpha-glucose
B. C-1 of \alpha-glucose and \mathrm{C}-2 of \beta-fructose
C. C – 1 of \alpha-glucose and \mathrm{C}-1 of \beta-fructose
D. C -2 of \alpha-glucose and C-2 of \beta-fructose
Answer: B) C-1 of \alpha-glucose and \mathrm{C}-2 of \beta-fructos
Q.34. Calculate the molar mass of an element having density 21 \mathrm{~g} \mathrm{~cm}^{-3} that forms fcc unit cell \left[\mathrm{a}^{3} \cdot \mathrm{~N}_{\mathrm{A}}=36 \mathrm{~cm}^{3} \mathrm{~mol}^{-1}\right]
A. 292.00 \mathrm{~g} \mathrm{~mol}^{-1}
B. 189.00 \mathrm{~g} \mathrm{~mol}^{-1}
C. 140.00 \mathrm{~g} \mathrm{~mol}^{-1}
D. 108.00 \mathrm{~g} \mathrm{~mol}^{-1}
Answer: B) 189.00 \mathrm{~g} \mathrm{~mol}^{-1}
Q.35. Which of the following is the SI unit of coefficient of viscosity?
A. \mathrm{N} \mathrm{s}^{-1} \mathrm{~m}^{-2}
B. \mathrm{N} \mathrm{s} \mathrm{m}^{-2}
C. \mathrm{N} \mathrm{s} \mathrm{m}^{2}
D. \mathrm{N} \mathrm{s}^{-1} \mathrm{~m}^{-1}
Answer: B
Q.36. Which from following metal has cep crystal structure?
A. Cu
B. Zn
C. Mg
D. Po
Answer: A
Q.37. Identify the reagent ‘ A’ used in the following conversion.
Ethyl bromide \xrightarrow{\mathrm{A}} Ethylpropanoate
A. Sodium propoxide
B. Ethoxy propane
C. Silver propanoate
D. Silver ethanoate
Answer: C) Silver propanoate
Q.38. What is the concentration of \left[\mathrm{H}_{3} \mathrm{O}^{+}\right]ion in \mathrm{mol} \mathrm{L}^{-1} of 0.001 M acetic acid ?[/katex]
A. 1.34 \times 10^{-4}
B. 1.54 \times 10^{-4}
C. 1.80 \times 10^{-4}
D. 1.70 \times 10^{-4}
Answer: A
Q.39. Which group elements from following are called as chalcogens?
A. group 13
B. group 15
C. group 16
D. group 17
Answer: C
Q.40. What is the number of electrons around sulfur in
\mathrm{H}_{2} \mathrm{SO}_{4}molecule?
A. 4
B. 6
C. 10
D. 12
Answer: D. 12
Q.41. An ideal gas expands by 1.5 L against a constant external pressure of 2 atm at 298 K . Calculate the work done?
A. -75 J
B. -303.9 J
C. 13.3 J
D. -30 J
Answer: B) -303.9 J
Q.42. The rate law for the reaction \mathrm{A}+\mathrm{B} \rightarrow product is given by rate =k[A][B]
Calculate [A] if rate of reaction and rate constant are 0.25 \mathrm{moldm}^{-3} \mathrm{~s}^{-1} and 6.25 \mathrm{~mol}^{-1} \mathrm{dm}^{3} \mathrm{~s}^{-1} respectively \left[[\mathrm{B}]=0.25 \mathrm{moldm}^{-3}\right]
A. 0.22 \mathrm{~mol} \mathrm{dm}{ }^{3}
B. 0.16 \mathrm{~mol} \mathrm{dm}^{3}
C. 0.30 \mathrm{~mol} \mathrm{dm}^{3}
D. 0.25 \mathrm{~mol} \mathrm{dm}^{3}
Answer: B) 0.16 \mathrm{~mol} \mathrm{dm}^{3}
Q.43. Which among the following has the lowest boiling point?
A. Butyric acid
B. Valeric acid
C. Acetic acid
D. Formic acid
Answer: D. Formic acid
Q.44. Find the average rate of formation O2 in the following reaction.
2 \mathrm{NO}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \left[-\frac{\Delta[\mathrm{NO}]}{\Delta \mathrm{t}}\right]=x \mathrm{moldm}^{-3} \mathrm{~s}^{-1}A. \frac{\mathrm{x}}{2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}
B. x \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}
C. 2 x \mathrm{~mol} \mathrm{dm}{ }^{-3} \mathrm{~s}^{-1}
D. 4 x \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}
Answer: A) \frac{\mathrm{x}}{2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}
Q.45. Which among the following reactions occurs by breaking of \mathrm{C}-\mathrm{O} bond in alcohol?
A. Reaction with propionic acid.
B. Reaction with acetic anhydride
C. Reaction with phosphorus trichloride
D. Reaction with acetyl chloride
Answer: C) Reaction with phosphorus trichloride
Q.46. Which among the following gases exhibits very low solubility in water at room temperature?
A) \mathrm{O}_{2}
B) \mathrm{CO}_{2}
C. \mathrm{NH}_{3}
D. HCl
Answer: A\mathrm{O}_{2}
Q.47. Identify the trisaccharide from following.
A. Maltose
B. Lactose
C. Raffinose
D. Stachyose
Answer: C) Raffinose
Q.48. Identify the element from following having six unpaired electrons in observed electronic configuration?
A. Cu
B. Zn
C. Cr
D. Ti
Answer: C. Cr
Q.49. Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm?
A. 167.35 pm
B. 334.70 pm
C. 144.93 pm
D. 118.32 pm
Answer: A) 167.35 pm
Q.50. Which of the following colloids is NOT a gel?
A. Cheese
B. Milk
C. Butter
D. Jellies
Answer: B. Milk