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Physics
Question-01 Two simple harmonic motions of angular frequency 300\ rad/s and 3000\ rad/s have same amplitude. The ratio of their maximum accelerations is
(A) 1:10
(B) 1:10^2
(C) 1:10^3
(D) 1:10^4
Answer : (B)
Question-02 Two very long straight conductors (wires) are set parallel to each other. Each carries a current ‘I’ in the same direction and the separation between them is ‘2r’. The intensity of the magnetic field at point ‘P’ (as shown in the figure) (\mu_0 = permeability of free space) is

(A) \frac{2\mu_0 I}{3\pi r}
(B) \frac{3\mu_0 I}{8\pi r}
(C) \frac{\mu_0 I}{4\pi r}
(D) \frac{\mu_0 I}{2\pi r}
Answer : (A)
Question-03 A rectangular block of surface area A emits energy E per second at 27^\circ C. If length and breadth is reduced to half of initial value and temperature is raised to 327^\circ C then energy emitted per second becomes
(A) 2E
(B) 4E
(C) E
(D) 8E
Answer : (B)
Question-04 A pipe open at both ends of length 1.5\ m is dipped in water at one end such that 2^{nd} overtone of vibrating air column is resonating with a tuning fork of frequency 330\ Hz. The length of the pipe immersed in water is (Speed of sound in air = 330\ m/s) (Neglect end correction)
(A) 1\ m
(B) 0.75\ m
(C) 0.5\ m
(D) 0.25\ m
Answer : (D)
Question-05 A physical quantity A can be determined by measuring parameters B, C, D and E using the relation A=\frac{B^3 C^4}{D^7 E^8}. If the maximum errors in the measurement are b %, c %, d % and e % then maximum error in the value of A is
(A) (\alpha b + \beta c - \gamma d - \delta e)\%
(B) (b + c - d - e)\%
(C) (\alpha b + \beta c + \gamma d + \delta e)\%
(D) (b + c + d + e)\%
Answer : (C)
Question-06 In series LCR resonant circuit, R=800\ \Omega, C=2\ \mu F and voltage across resistance is 200\ V. The angular frequency is 250\ rad/s. At resonance, the voltage across the inductance is
(A) 400\ V
(B) 250\ V
(C) 1000\ V
(D) 500\ V
Answer : (D)
Question-07 When a diatomic gas (rigid) undergoes adiabatic change, its pressure (P) and temperature (T) are related as P\propto CT. The value of c is
(A) 2.5
(B) 3.5
(C) 1.5
(D) 5.2
Answer : (B)
Question-08 Two coils P and Q are kept near each other. When no current flows through coil P and current increases in coil Q at the rate of 10\ A/s, the e.m.f. in coil P is 15\ mV. When coil Q carries no current and current of 1.8\ A flows through coil P, the magnetic flux linked with coil Q is
(A) 1.8\ mWb
(B) 2.7\ mWb
(C) 1.5\ mWb
(D) 1\ mWb
Answer : (B)
Question-09 A mass m is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes S.H.M. of time period T. If the mass is increased by m_0, the periodic time becomes \frac{5T}{4}. The ratio \frac{m_0}{M} is
(A) \frac{3}{4}
(B) \frac{4}{3}
(C) \frac{9}{16}
(D) \frac{16}{9}
Answer : (C)
Question-10 The three vector \vec{A}=3i-2j+k, \vec{B}=i-3j+5k and \vec{C}=2i-j+4k will form
(A) isosceles triangle.
(B) equilateral triangle.
(C) no triangle.
(D) right angled triangle
Answer : (C)
Question-11 Two identical long parallel wires carry currents I_1 and I_2 such that I_1>I_2. When the currents are in the same direction, the magnetic field at a point midway between the wires is 8\times10^{-6}\ T. If the direction of I_2 is reversed, the field becomes 3.2\times10^{-5}\ T. The ratio of I_2 to I_1 is
(A) 1:4
(B) 2:5
(C) 3:5
(D) 3:4
Answer : (C)
Question-12 A disc of mass 25\ kg and radius 0.2\ m is rotating at 240\ r.p.m. A retarding torque brings it to rest in 20\ second. If the torque is due to a force applied tangentially on the rim of the disc then the magnitude of the force is
(A) \frac{\pi}{2}\ N
(B) 2\pi\ N
(C) \pi\ N
(D) 4\pi\ N
Answer : (C)
Question-13 Interference fringes are produced on the screen by using two light sources of intensities I and 9I. The phase difference between the beams is \frac{\pi}{2} at point P and \pi at point Q on the screen. The difference between the resultant intensities at points P and Q is (\cos90^\circ=0, \cos\pi=-1)
(A) 2I
(B) 4I
(C) 6I
(D) 8I
Answer : (C)
Question-14 Which of the following logic gates is called as Universal gate?
(A) OR
(B) X-OR
(C) AND
(D) NAND
Answer : (D)
Question-15 For an ideal gas, the density of the gas is \rho_0 when temperature and pressure of the gas are T_0 and P_0 respectively. when the temperature of the gas is 2T_0, its pressure becomes 3P_0. The new density will be
(A) \frac{2}{3}\rho_0
(B) \frac{3}{4}\rho_0
(C) \frac{4}{3}\rho_0
(D) \frac{3}{2}\rho_0
Answer : (D)
Question-16 Which graph shows correctly the temperature (T) dependence of resistivity (\rho) of a semiconductor?

(A) C
(B) A
(C) D
(D) B
Answer : (A)
Question-17 Two uniform wires of same material are vibrating under the same tension. If the 1^{st} overtone of 1^{st} wire is equal to the 2^{nd} overtone of 2^{nd} wire and radius of 1^{st} wire is twice the radius of 2^{nd} wire, the ratio of length of 1^{st} wire to that 2^{nd} wire is
(A) 1:3
(B) 3:1
(C) 2:3
(D) 3:5
Answer : (A)
Question-18 The variation of magnetic susceptibility (\chi) with temperature for a diamagnetic substance is shown correctly by graph

(A) D
(B) B
(C) A
(D) C
Answer : (C)
Question-19 A liquid drop of volume V is placed on the surface of glass plate. Then another glass plate is placed on it such that liquid forms a thin layer of area A between the surfaces of two plates. To separate the plates a force F has to be applied normal to the surfaces. The surface tension of the liquid is
(A) \frac{FV}{2A}
(B) \frac{FV}{2A^2}
(C) \frac{FV}{A^2}
(D) \frac{F}{VA}
Answer : (B)
Question-20 If maximum energy is stored in a capacitor at t=0 then the time after which, current in the circuit will be maximum is

(A) \pi\times10^{-3}\ s
(B) 2\pi\times10^{-3}\ s
(C) 2\pi\times10^{-4}\ s
(D) \pi\times10^{-4}\ s
Answer : (B)
Question-21 The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0\ to\ 8\ s is

(A) 8:5
(B) 3:5
(C) 5:9
(D) 7:4
Answer : (C)
Question-22 The length of a potentiometer wire is ‘L’. A cell of e.m.f. E is balanced at a length \frac{L}{5} from the positive end of the wire. If the length of the wire is increased by \frac{L}{2}, the same cell will give balance point at distance ‘x’. The value of ‘x’ is
(A) \frac{5L}{12}
(B) \frac{4L}{15}
(C) \frac{3L}{10}
(D) \frac{2L}{15}
Answer : (C)
Question-23 In LCR series circuit, R=18\ \Omega and impedance 33\ \Omega. An r.m.s. voltage of 220\ V is applied across the circuit. The true power consumed in a.c. circuit is
(A) 400\ W
(B) 600\ W
(C) 800\ W
(D) 900\ W
Answer : (C)
Question-24 A child stands on a weighing machine inside a lift. When the lift is going down with acceleration \frac{g}{3}, the machine shows a reading 20\ N. When the lift goes upwards with acceleration \frac{g}{3}, the reading would be (g = gravitational acceleration)
(A) 40\ N
(B) 30\ N
(C) 20\ N
(D) 50\ N
Answer : (A)
Question-25 The equivalent capacitance between plates ‘A’ and ‘B’ (A-area of each plate, d-separation between plates) (\varepsilon_0 – permittivity of free space) is

(A) \frac{A\varepsilon_0}{d}
(B) \frac{2A\varepsilon_0}{d}
(C) \frac{4A\varepsilon_0}{d}
(D) \frac{8A\varepsilon_0}{d}
Answer : (C)
Question-26 Which of the following transitions in hydrogen atom emit photons of highest frequency? (n = principal quantum number)
(A) n=1\ to\ n=3
(B) n=2\ to\ n=4
(C) n=5\ to\ n=3
(D) n=2\ to\ n=1
Answer : (D)
Question-27 Water rises up to height ‘x’ in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth ‘d’ in a mine, the water level rises up to height Y. If R is the radius of the earth then the ratio Y:x is
(A) R:(R+d)
(B) R:(R-d)
(C) R:(R-d)^2
(D) R:(R+d)^2
Answer : (B)
Question-28 In Young’s double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is d and D is the distance between source and screen. The possible wavelengths used are proportional to
(A) \frac{1}{D},\frac{1}{5D},\frac{1}{7D},\ldots
(B) \frac{1}{D},\frac{1}{3D},\frac{1}{5D},\ldots
(C) \frac{1}{D},\frac{1}{2D},\frac{1}{3D},\ldots
(D) \frac{1}{D^2},\frac{1}{2D^2},\frac{1}{3D^2},\ldots
Answer : (B)
Question-29 The total energy of a circularly orbiting satellite is
(A) half the kinetic energy of the satellite.
(B) half the potential energy of the satellite.
(C) twice the kinetic energy of the satellite.
(D) twice the potential energy of the satellite.
Answer : (B)
Question-30 The de-Broglie wavelength (\lambda) of a particle
(A) is inversely proportional to impulse.
(B) does not depend on impulse.
(C) is proportional to mass.
(D) is proportional to impulse.
Answer : (A)
Question-31 An incompressible fluid flows steadily through a cylindrical pipe having radius R at point A and \frac{R}{3} at point B further along the direction of flow of liquid. If the velocity at point A is V then that at point B is
(A) \frac{V}{9}
(B) \frac{V}{3}
(C) 3V
(D) 9V
Answer : (D)
Question-32 Two radioactive materials A and B having decay constant 7\lambda and \lambda respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of material B to that of A as e is
(A) \frac{1}{\lambda}
(B) \frac{1}{6\lambda}
(C) \frac{1}{7\lambda}
(D) \frac{1}{8\lambda}
Answer : (B)
Question-33 A centigrade and Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit temperature observed is 140^\circ F. At that time the temperature registered by the centigrade thermometer is
(A) 80^\circ C
(B) 60^\circ C
(C) 40^\circ C
(D) 20^\circ C
Answer : (B)
Question-34 Photoelectric emission is observed from a metallic surface for frequencies \nu_1 and \nu_2 of the incident light rays (\nu_1>\nu_2). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1:k, then the threshold frequency of metallic surface is
(A) \frac{k\nu_2-\nu_1}{k-1}
(B) \frac{\nu_2-\nu_1}{k}
(C) \frac{\nu_1-\nu_2}{k-1}
(D) \frac{k\nu_1-\nu_2}{k-1}
Answer : (D)
Question-35 The electric charges +2q, +2q, -2q and -2q are placed at the corners of square of side 2L as shown in figure. The electric potential at point ‘A’, midway between the two charges +2q and +2q is (\varepsilon_0 = permittivity of free space)

(A) \frac{1}{4\pi\varepsilon_0}\left(\frac{2q}{L}\right)\left[1+\frac{1}{\sqrt{5}}\right]
(B) \frac{q}{\pi\varepsilon_0 L}\left[1-\frac{1}{\sqrt{5}}\right]
(C) \frac{q}{\pi\varepsilon_0 L}\left[1+\frac{1}{\sqrt{5}}\right]
(D) \frac{1}{4\pi\varepsilon_0}\left(\frac{2q}{L}\right)\left[1-\frac{1}{\sqrt{5}}\right]
Answer : (B)
Question-36 Two circular loops P and Q of radii r and nr are made respectively from a uniform wire. Moment of inertia of loop Q about its axis is 4 times that of loop P about its axis. The value of n is
(A) (2)^{-2/3}
(B) (2)^{2/3}
(C) \sqrt{2}
(D)(2) ^{1/3}
Answer : (B)
Question-37 An observer on sea-coast counts 45 waves in one minute. If the wavelength of the waves is 7\ m, then velocity of the waves will be
(A) 4.75\ m/s
(B) 5.25\ m/s
(C) 7.5\ m/s
(D) 8.65\ m/s
Answer : (C)
Question-38 A simple pendulum has time period T_1. The point of suspension is now moved upward according to equation y=kt^2 where k=1\ m/s^2. If new time period is T_2 then \frac{T_1^2}{T_2^2} will be (g=10\ m/s^2)
(A) \frac{2}{3}
(B) \frac{5}{6}
(C) \frac{6}{5}
(D) \frac{3}{2}
Answer : (C)
Question-39 To manufacture a solenoid of length l and inductance L, the length of the thin wire required (Diameter of the solenoid is very less than length, \mu_0 = permeability of free space)
(A) \left[\frac{4\pi lL}{\mu_0}\right]^{1/2}
(B) \left[\frac{2\pi l}{\mu_0 L}\right]^{1/2}
(C) \left[\frac{4\pi\mu_0}{lL}\right]^{1/2}
(D) \left[\frac{2\pi\mu_0 L}{l}\right]^{1/2}
Answer : (C)
Question-40 An engine operating between temperatures T_1 and T_2 has efficiency \frac{1}{5}. When T_2 is lowered by 45\ K, its efficiency becomes \frac{1}{2}. Temperatures T_1 and T_2 are respectively
(A) 100\ K,\ 70\ K
(B) 160\ K,\ 120\ K
(C) 140\ K,\ 110\ K
(D) 150\ K,\ 120\ K
Answer : (D)
Question-41 In an n-p-n transistor amplifier, the collector current is 8\ mA. If 80\% of the electrons from the emitter reach the collector, then (\alpha and \beta are current ratios)
(A) the base current is 20\ mA.
(B) the emitter current is 2\ mA.
(C) \alpha=0.8,\ \beta=4.0
(D) \alpha=4.0,\ \beta=0.8
Answer : (C)
Question-42 An electric dipole having each charge of magnitude 2\ \mu C is placed in an electric field of intensity 8\times10^4\ N/C. If the maximum torque acting on the dipole is 4\times10^{-3}\ N-m, the length of the dipole is
(A) 10\ mm
(B) 25\ mm
(C) 15\ mm
(D) 20\ mm
Answer : (B)
Question-43 Two sources of sound are emitting progressive waves y_1=4\sin(710\pi t) and y_2=3\sin(702\pi t). The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectively
(A) 4,\ 16:9
(B) 8,\ 16:9
(C) 4,\ 49:1
(D) 8,\ 49:1
Answer : (C)
Question-44 Three spheres, each of mass ‘m’ and radius ‘r’ are placed as shown in figure. Consider an axis ‘YY’ which is touching two spheres and passing through the diameter of third sphere. The moment of inertia of the system consisting of these three spheres about YY’ axis is

(A) \frac{7}{5}mr^2
(B) \frac{2}{5}mr^2
(C) \frac{16}{5}mr^2
(D) \frac{mr^2}{2}
Answer : (C)
Question-45 The value of current I in the given circuit is

(A) 7 A
(B) 8 A
(C) 18 A
(D) 10 A
Answer : (C)
Question-46 Three polarised sheets are co-axially placed. Pass axis of polaroids 2 and 3 make 30^\circ and 90^\circ with pass axis of polaroid sheet 1. If I_0 is the intensity of unpolarised light entering sheet 1, the intensity of the emergent light through sheet 3 is

(A) zero
(B) \frac{3I_0}{32}
(C) \frac{3I_0}{8}
(D) \frac{3I_0}{16}
Answer : (B)
Question-47 Two cylinders A and B fitted with pistons contain equal amount of an ideal rigid atomic gas at 303 K. The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 49 K, then the rise in temperature of the gas in A is
(A) 30 K
(B) 35 K
(C) 70 K
(D) 75 K
Answer : (B)
Question-48 The phenomenon, which is not due to total internal reflection is
(A) mirage on hot summer days.
(B) brilliance of diamond
(C) difference between apparent real depth of a pond
(D) working of optical fibre.
Answer : (C)
Question-49 Initially a rectangular coil with length vertical is moving out with constant velocity ‘v’ in a constant magnetic field ‘B’ towards right. Now the same coil is rotated through 90^\circ in same plane in same magnetic field B and the coil is moving with same velocity v. The magnitude of induced e.m.f. is now
(A) greater than initial induced e.m.f.
(B) less than initial induced e.m.f.
(C) equal to initial induced e.m.f.
(D) sometimes greater and sometimes less than initial induced e.m.f.
Answer : (A)
Question-50 The voltage between the plates of a parallel plate capacitor of capacity 1\ \mu F is changing at the rate of 4\ V/s. the displacement current in the capacitor is
(A) 4\ \mu A
(B) 3\ \mu A
(C) 1\ \mu A
(D) 6\ \mu A
Answer : (A)
Chemistry
Question-01 Find the number of moles present in 0.448 L of dihydrogen at STP.
(A) 0.08 mol
(B) 0.06 mol
(C) 0.04 mol
(D) 0.02 mol
Answer : (D)
Question-02 Which from following compounds the thermocol is obtained?
(A) Bisphenol
(B) Vinylchloride
(C) Styrene
(D) Butadiene
Answer : (C)
Question-03 Identify product A in following reaction.
C_6H_5N_2Cl \xrightarrow{C_2H_5OH} A + N_2 + CH_3CHO + HCl(A) C_6H_6
(B) C_6H_5NH_2
(C) C_6H_5COOH
(D) C_6H_5Cl
Answer : (A)
Question-04 Which among the following is vinylic halide?
(A) Haloalkane
(B) Haloalkene
(C) Haloalkyne
(D) Haloarene
Answer : (B)
Question-05 Which of the following is Lewis base?
(A) BF₃
(B) Cu²⁺
(C) AlCl₃
(D) NH₃
Answer : (D)
Question-06 Which from following is a soft metal?
(A) Cr
(B) V
(C) Co
(D) Cd
Answer : (D)
Question-07 What is the order and molecularity respectively for the elementary reaction given below?
O_3(g)+O(g)\rightarrow2O_2(g) if r=k[O_3][O]
(A) 2^{nd} and 1
(B) 1^{st} and 2
(C) 2^{nd} and 2
(D) 1^{st} and 1
Answer : (C)
Question-08 Identify the property of colloidal solutions so colloidal particles move freely towards respective electrodes under an applied electrical potential.
(A) Brownian motion
(B) Electrophoresis
(C) Electroosmosis
(D) Dialysis
Answer : (B)
Question-09 Select false statement from the following regarding electrochemical cell.
(A) Standard cell potential of electro chemical cell is an intensive property.
(B) Electrode potential depends on concentration of salt solution in contact with electrode.
(C) Standard free energy change of cell is an intensive property.
(D) Electrical work done in galvanic cell is equal to decrease in Gibb’s energy.
Answer : (C)
Question-10 Calculate the work done in following reaction at 27^\circ C.
4SO_2(g)+2O_2(g)\rightarrow4SO_3(g) R=8.314\ JK^{-1}\ mol^{-1}(A) 4988.4\ J
(B) 2494.2\ J
(C) 1247.1\ J
(D) 3741.3\ J
Answer : (A)
Question-11 Which of the following principal of green chemistry suggest use of chemicals made from plant based sources?
(A) Minimisation of steps in process
(B) Design for degradation
(C) Use of renewable feed stocks
(D) Reduce number of derivatives
Answer : (C)
Question-12 Which from following cations will form most stable complex with same ligand?
(A) Cu^{2+}
(B) Co^{2+}
(C) Mn^{2+}
(D) Fe^{2+}
Answer : (A)
Question-13 Which is NOT correct regarding stock notation?
(A) Hg_2(I)Cl_2 is reduced form of Hg(II)Cl_2
(B) Hg(II)Cl_2 is oxidised form of Hg_2(I)Cl_2
(C) It helps to identify whether species is present in oxidised form or reduced form
(D) Aurous chloride is written as Au(III)Cl_3
Answer : (D)
Question-14 Calculate the time in seconds required to reduce the concentration of reactant to half of initial concentration for first order reaction if rate constant is 1.386\times10^{-3}\ s^{-1}
(A) 140 s
(B) 290 s
(C) 390 s
(D) 500 s
Answer : (D)
Question-15 The solubility product of PbI_2 is 1.08\times10^{-7}. Calculate its solubility in mol\ dm^{-3} at 298\ K.
(A) 2.018\times10^{-3}
(B) 2.011\times10^{-9}
(C) 1.259\times10^{-9}
(D) 3.0\times10^{-3}
Answer : (D)
Question-16 If Ln represents lanthanoid element find the general formula of lanthanoid hydroxide.
(A) Ln(OH)
(B) \mathrm{Ln(OH)_2}
(C) \mathrm{Ln(OH)_3}
(D) \mathrm{Ln(OH)_4}
Answer : (C)
Question-17 Identify the correct decreasing order of boiling points for different organic compounds from following.
(A) Carboxylic acids > Amines > Alcohols
(B) Carboxylic acids > Alcohols > Amines
(C) Amines > Alcohols > Carboxylic acids
(D) Alcohols > Amines > Carboxylic acids
Answer : (B)
Question-18 Which from following is a thermosetting polymer?
(A) Polyvinyl
(B) Polystyrene
(C) Ureaformaldehyde
(D) Nylon 6,6
Answer : (C)
Question-19 Which from following functional groups has highest priority order for naming the polyfunctional group compounds?
(A) –COCl
(B) -\mathrm{SO_3H}
(C) –CHO
(D) –OH
Answer : (B)
Question-20 Identify the defect that develops when the ratio of number of cations to anions become different from that indicated by its chemical formula.
(A) Schottky defect
(B) interstitial defect
(C) substitutional impurity defect
(D) nonstoichiometric defect
Answer : (D)
Question-21 Which from following compounds does NOT contain phenolic -OH group?
(A) Curcumin
(B) Eugenol
(C) Gallic acid
(D) Ascorbic acid
Answer : (D)
Question-22 Which of the following aqueous solutions exhibits lowest freezing point depression assuming complete dissociation?
(A) 0.1\ m\ NaCl
(B) 0.05\ m\ MgSO_4
(C) 0.08\ m\ AlPO_4
(D) 0.06\ m\ Al_2(SO_4)_3
Answer : (B)
Question-23 Identify the product obtained when alkenes are oxidised with KMnO_4 in dil. H_2SO_4.
(A) Alkanol
(B) Alkanal
(C) Alkanone
(D) Alkanoic acid
Answer : (D)
Question-24 Which of the following set of thermodynamic conditions is true for the reaction to be spontaneous at high temperature?
(A) \Delta H<0\ and\ \Delta S<0
(B) \Delta H>0\ and\ \Delta S>0
(C) \Delta H<0\ and\ \Delta S>0
(D) \Delta H>0\ and\ \Delta S<0
Answer : (B)
Question-25 Calculate the energy per mole of photon of electromagnetic radiation having wavelength 700\ nm (h=6.626\times10^{-34}\ Js, c=3\times10^8\ m/s)
(A) 1.71\times10^5\ J
(B) 1.02\times10^5\ J
(C) 1.84\times10^5\ J
(D) 1.55\times10^5\ J
Answer : (A)
Question-26 Which of the following molecules consist minimum lone pair of electrons in the valence shell of central atom?
(A) SCl_2
(B) PCl_3
(C) ClF_3
(D) XeF_4
Answer : (B)
Question-27 What is the SI unit of rate of diffusion for a gas?
(A) dm^{-3}s
(B) dm^3s^{-1}
(C) mL^{-1}s^{-1}
(D) mLs
Answer : (B)
Question-28 Which of following gases causes depletion in ozone layer?
(A) He
(B) NO
(C) CO_2
(D) H_2
Answer : (B)
Question-29 Find standard enthalpy of formation of ammonia from following reaction.
N_2(g)+3H_2(g)\rightarrow2NH_3(g),\ \Delta_{r}H^{\circ}=-92.0 k
(A) -92.0\ kJ\ mol^{-1}
(B) -69.0\ kJ\ mol^{-1}
(C) -46.0\ kJ\ mol^{-1}
(D) -184.0\ kJ\ mol^{-1}
Answer : (C)
Question-30 What is IUPAC name of the following compound?

(A) 1-Ethyl-2-hydroxy-3-methyl cyclobutane
(B) 2-Ethyl-1-hydroxy-4-methyl cyclobutane
(C) 2-Ethyl-4-methyl cyclobutanol
(D) 4-Ethyl-2-methyl cyclobutanol
Answer : (C)
Question-31 Which from the following reaction is a Fittig reaction?
(A) 2CH_3Cl+2Na\xrightarrow[dry]{ether}C_2H_6+2NaCl
(B) 2C_6H_5Cl+2Na\xrightarrow[dry]{ether}(C_6H_5)_2+2NaCl
(C) C_6H_5Cl+C_2H_5Cl+2Na\xrightarrow[dry]{ether}C_6H_5C_2H_5+2NaCl
(D) CH_3Cl+C_2H_5Cl+2Na\xrightarrow[dry]{ether}CH_3-C_2H_5+2NaCl
Answer : (B)
Question-32 What is IUPAC name of the following compound?

(A) 3-Formyl-5-methylphenol
(B) 5-Formyl-3-methylphenol
(C) 3-Hydroxy-5-methylbenzaldehyde
(D) 5-Hydroxy-3-methylbenzaldehyde
Answer : (C)
Question-33 Which of the following compounds has highest boiling point?
(A) n-Hexane
(B) 2-Methylpentane
(C) 3-Methylpentane
(D) 2,2-Dimethylbutane
Answer : (A)
Question-34 Calculate the temperature of 0.05\ M sucrose solution in Kelvin if the osmotic pressure of the solution is 1.5\ atm.
R=0.0821\ dm^3\ atm\ K^{-1}\ mol^{-1}(A) 370.2
(B) 375.4
(C) 380.6
(D) 365.4
Answer : (D)
Question-35 If
E^\circ(Mg^{2+}{(aq)}|Mg{(s)})=-2.37\ VWhat is potential for Mg_{(s)}\rightarrow Mg^{2+}(0.1\ M)+2e^- at 298\ K?
(A) +2.3996\ V
(B) -2.3996\ V
(C) +2.3404\ V
(D) -2.3404\ V
Answer : (A)
Question-36 Which of the following statements is false about interhalogen compounds?
(A) They are covalent in nature.
(B) They are diamagnetic.
(C) They are more reactive than halogens.
(D) If these are represented as XX'_n, number of X' atoms is always even.
Answer : (D)
Question-37 The mass of an atom present in unit cell is 4.4\times10^{-23}\ g and the product of density and volume of unit cell is 1.792\times10^{-22}\ g. What is the type of cubic unit cell?
(A) Body centred unit cell
(B) Face centred unit cell
(C) Base centred unit cell
(D) Simple cubic unit cell
Answer : (B)
Question-38 Which amino acid from following is NOT synthesized in our body?
(A) Tyrosine
(B) Tryptophan
(C) Glutamine
(D) Glycine
Answer : (B)
Question-39 What is the coordination number of Pt in cisplatin?
(A) 4
(B) 2
(C) 6
(D) 12
Answer : (A)
Question-40 What is the value of pH of a NaOH solution that dissociates 2\% in its 0.01\ M solution?
(A) 9.704
(B) 10.301
(C) 8.621
(D) 8.750
Answer : (B)
Question-41 If standard emf of cell
Zn_{(s)}|Zn^{2+}{(1M)}||Ag^{+}{(1M)}|Ag_{(s)} is 1.55\ V.
What is electrical work done under standard conditions?
(A) -144.750\ kJ
(B) -193.00\ kJ
(C) -299.150\ kJ
(D) -386.00\ kJ
Answer : (C)
Question-42 What is the number of chiral carbon atoms present in 3,4-Dibromohexane?
(A) 5
(B) 4
(C) 3
(D) 2
Answer : (D)
Question-43 Identify the major product formed when 2-Methylhexan-3-ol is heated with concentrated sulphuric acid.

Answer : (A)
Question-44 If a reaction occurs in following two steps
i. 2ClO^{-}\rightarrow ClO_2^{-}
ii. ClO_2^{-}+ClO^{-}\rightarrow ClO_3^{-}+Cl^{-}
Find the reaction intermediate.
(A) ClO^{-}
(B) ClO_3^{-}
(C) Cl^{-}
(D) ClO_2^{-}
Answer : (D)
Question-45 Identify the product when magnesium burns in air.
(A) MgO only
(B) Mg_3N_2 only
(C) Mg_2NO_3
(D) MgO and Mg_3N_2
Answer : (D)
Question-46 Calculate the total number of tetrahedral and octahedral voids in 0.4\ mol compound having such voids in it.
(A) 2.4088\times10^{23}
(B) 7.2264\times10^{23}
(C) 4.8176\times10^{23}
(D) 9.6352\times10^{23}
Answer : (B)
Question-47 Which carbon atom of glucopyranose numbered from C-1 to C-6 is anomeric?
(A) C-5
(B) C-6
(C) C-2
(D) C-1
Answer : (D)
Question-48 Calculate molality of the solution containing nonvolatile solute if boiling point elevation of the solution is 0.2\ K
K_b=0.52\ K\ kg\ mol^{-1}(A) 0.162\ mol\ kg^{-1}
(B) 0.281\ mol\ kg^{-1}
(C) 0.385\ mol\ kg^{-1}
(D) 0.501\ mol\ kg^{-1}
Answer : (C)
Question-49 Identify the reagent ‘R’ used in the following reaction.
Ketone \xrightarrow{R} Semicarbazone
(A) NH_2OH
(B) NH_2-NH-CONH_2
(C) NH_2-NH-C_6H_5
(D) NH_2-NH_2
Answer : (B)
Question-50 Identify substrate ‘A’ in the following reaction.
A+CO_2\xrightarrow[6atm]{398\ K}Sodium\ salicylate\xrightarrow{H_3O^+}Salicylic\ acid(A) Phenol
(B) Sodium phenoxide
(C) Salicylaldehyde
(D) o-Phenolsulphonic acid
Answer : (B)