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SCRA 2014

Special Class Railway Apprentice

SCRA 2014 paper 2

SCRA 2014 Paper 2 – Set C aryan classes , www.aryanclasses.com

Time Allowed: Two Hours Maximum Marks: 200

Few maths and chemistry figures/numbers are not clear. STudent can find the same in the pdf file.

To be updated

PHYSICAL SCIENCES PAPER – II
1. What is the ratio of minimum wavelength of radiation emitted in Balmer series of hydrogen atom to maximum wavelength of the series ?
(a) 5 : 9

(b) 9 : 5
(c ) 1 : 4

(d) 4 : 1

Ans: a


2. An object X of mass m moving forward with velocity v along x-axis collides elastically with a stationary object Y of mass 2 m at the origin. After collision, the object X moves backward along x-axis. Given that the kinetic energy of the system is conserved, the speed of the object Y after collision is
(a) 2v/3

(b) v/3
(c ) v/2

(d) 3v/4

ANs: a


3. There is a linear current I going around a circular wire of radius (a) with centre at origin in the xy-plane. The magnetic field B at (0,0,z) in Cartesian coordinates is given by
(a) B=(μ_0 Ia^2)/(2(z^2+a^2 )^(3/2) )
(b) B=(μ_0 Iza)/(2(z^2+a^2 )^(3/2) )
(c ) B=(μ_0 Iz^2)/(2(z^2+a^2 )^(3/2) )
(d) B=(μ_0 Ia^2)/(2(z^2+a^2 )^(1/2) )

ANs: a


4. There are two long wires each parallel to z-axis, each carrying current I, are at (0 , 0) and the other at (a,b). The force on unit length of each wire is
(a) (μ_0 I^2)/2π(a^2+b^2 )

(b) (μ_0 I^2 (a+b))/2π(a^2+b^2 )
(c ) (μ_0 I^2)/(2π(a^2+b^2 )^(3/2) )

(d) (μ_0 I^2)/(2π(a^2+b^2 )^(1/2) )

Ans: d


5. In a fusion process, effectively 4 protons each of mass m_p each combine to form an alpha particle of mass M, two positrons each of mass m_e, some gamma rays and neutrinos. With c being speed of light, the energy released in the formation of one alpha particle is
(a) (4m_p-M+2m_e ) c^2
(b) (M-4m_p+2m_e ) c^2
(c ) (M-4m_p-2m_e ) c^2
(d) (4m_p-M-2m_e ) c^2

Ans: d


6. A piece of bar magnet of length L having pole strength m is held at an angle θ with a uniform magnetic field of strength H. The piece is then transversely cut into two equal pieces; one of the pieces is held in the same field in similar manner. The ratio of torque of the former to the latter piece of the bar magnet is
(a) 1 : 2

(b) 2 : 1
(c ) 1 : 4

(d) 4 : 1

Ans: b


7. The critical angle of incidence of a ray of light going from a medium A to another medium B is 〖30〗^0. If the velocity of light in the medium A is half the velocity of light in vacuum, then velocity of light in B is
(a) c/4

(b) c
(c ) (√3 c)/2

(d) c/(2√3)

Where c is the speed of light in vacuum.

Ans: b
8. A particle of mass m and charge q is thrown at velocity u in the x-direcion against uniform electric field E in the negative x-direction. The distance it will travel before coming to momentary rest is
(a) (mu^2)/qE

(b) (2mu^2)/qE
(c ) (mu^2)/2qE

(d) (mu^2)/4qE

Ans: c


9. The optical path of a monochromatic light is the same if it passes through 0.665 cm of glass or 0.750 cm of a liquid of refractive index 1.5. The refractive index of glass is
(a) 1.5

(b) 1.7
(c ) 1.2

(d) 1.6

Ans: b


10. The lateral displacement of light passing through a parallel plate of glass of thickness t with angle of incidence 〖60〗^0 and angle of refraction 〖45〗^0 is
(a) (√3-1)t (b)

(√3-1)t/2
(c ) (√3+1)t/2

(d) None of the above

Ans: b


11. A small bar starts sliding down on inclined plane making an angle α with the horizontal. The coefficient of friction μ depends on the distance x as μ=ax where a is a constant. The distance covered by the bar till it stops is
(a) ((tan⁡α ))/a

(b) 2(tan⁡α )/a
(c ) 2a tan⁡α

(d) tan⁡α/((2a) )

Ans: b


12. Which one of the following waves does not involve oscillations of particles of a medium ?
(a) Waves in a hanging spring
(b) Ripples on a water surface
(c ) A light wave
(d) Ultrasonic waves

Ans: c


13. A certain mass of a given gas of specific heat ratio 1 .5 is compressed such that its volume becomes one –fourth of original volume, first adiabatically and then isothermally. In both the cases the initial state of gas is the same. The ratio of the respective works in each compression respectively is approximately (ln⁡〖2=0.3) 〗
(a) 4

(b) 3
(c ) 2

(d) 1

Ans: b


14. Two plane mirrors form an angle of 〖120〗^0. The distance between the two images of a point source formed in them is 20 cm and the point source lies on the bisector of the angle formed by the mirrors. What would be the least distance of the point source form the line along which the mirrors would touch each other ?
(a) 10 cm

(b) 20/√3 cm
(c ) 10√2 cm

(d) None of the above

Ans: b


15. An astronomical telescope consists of an objective lens that forms at or very near to its principal focus an image of the object which is
(a) real, inverted and reduced
(b) real, inverted and magnified
(c ) virtual, erect and reduced
(d) real, erect and reduced

Ans: A


16. A particle in uniform circular motion can possess
(a) radial acceleration only
(b) tangential acceleration only
(c ) both radial and tangential acceleration
(d) neither radial nor tangential acceleration

Ans: a


17. A particle motion on a apace curve is governed by x=2sin⁡〖t ,y=3 cos⁡t 〗 and z=√5 sin⁡〖t.〗 The speed of the particle at any instant is
(a) 3√2 sin⁡t

(b) 3 √(cos⁡2t )
(c) 3√(sin⁡2t )

(d) independent of time

Ans: d


18. The frictional force on a rolling cylinder is proportional to
(a) the tangential force and directed perpendicular to the surfaces in contact
(b) the tangential force and directed parallel to the surfaces in contact
(c ) the normal force and directed parallel to the surfaces in contact
(d) the normal force and directed perpendicular to the surfaces in contact

Ans: b


19. The kinetic energy (T) of a particle moving along a circle of radius R depends on the distance covered (s) as T=cs^2 where c is a constant. The force acting on the particle as a function of s is
(a) ks√(1+s/R)

(b) ks√(1+(s/R)^2 )
(c ) ks√(1+(s/R)^3 )

(d) ks√(1+(s/R)^4 )
Where k is a constant.

Ans: b


20. A point mass moves along x-axis according to the law x=A cos^2 (ωt-π/4) . The amplitude of the oscillation is
(a) A

(b) A/2
(c ) 2A

(d) A/3

Ans: b


21. A pendulum consisting of a small sphere of mass m, suspended by an inextensible and massless string of length L is made to swing in a vertical plane. If the breaking strength of the string is 2 mg where g is the acceleration due to gravity, then the maximum angular amplitude of the displacement from the vertical can be
(a) 〖15〗^0

(b) 〖30〗^0
(c ) 〖60〗^0

(d) 〖75〗^0

Ans: c


For the next 02 (two ) items that follow:
A body of mass m is thrown up with velocity v_0. The air drag is equal to kv^2 where v is the velocity at any instant and k is a positive constant (proportionally constant) .
22. The maximum height to which the body can go is
(a) m/2k (1+(kv_0^2)/mg)
(b) m/k ln⁡〖 (1+(kv_0^2)/mg)〗
(c ) m/2k ln⁡(1+(kv_0^2)/mg)
(d) None of the above

Ans: c


23. What is the velocity with which the body comes down ?
(a) v_0/((1+(kv_0^2)/mg) )

(b) v_0/(1+(kv_0^2)/mg)^(1/2)
(c ) v_0/(1+(kv_0^2)/mg)^(1/3)

(d) None of the above

Ans: b


24. The velocity of a particle moving in the positive direction of x-axis is given by v=α√x where α is a positive constant. The acceleration of the particle will be
(a) α^2

(b) α^2/2
(c ) 2α^2

(d) α^(3/2)

Ans: b


25. a planet moves round the Sun in a circular orbit. The angular velocity of planet will be proportional to
(a) velocity of planet
(b) square of velocity of planet
(c ) cube of velocity of planet
(d) None of the above

Ans: c


26. A wave is represented by y(x,t)=y_m sin⁡〖(kx-ωt-φ).〗 The phase of the wave is
(a) φ

(b) kx-ωt
(c ) ωt+φ

(d) kx-ωt-φ

Ans: d


27. Consider the following statements in respect of a plane progressive wave :
1. All the particles of the medium vibrate in same phase at any instant of time.
2. All the particles of the medium execute simple harmonic motion.
3. The wave velocity depends upon the nature of the medium.
Which of the above statements are correct ?
(a) 1 and 2 only

(b) 2 and 3 only
(c ) 1 and 3 only

(d) 1, 2 and 3

Ans: b


28. Electric charges A and B attract each other. Electric charges B and C also attract each other. But electric charges C and D repel each other. If A and D are held close together then which one of the following is correct ?
(a) They cannot affect each other
(b) They attract each other
(c ) They repel each other
(d) Cannot be predicted due to insufficient data

Ans: c


29. Two small charged spheres contain charges +q and +Q. Some charge is removed from the sphere carrying charge q and is transferred to the other. The charge on each sphere which will result in maximum force between them is
(a) √qQ

(b) ((q+Q))/2
(c ) ((q-Q))/2

(d) None of the above

Ans: b


30. Permanent magnets are those substances that
(a) retain their ferromagnetic property for a long time at room temperature
(b) retain their ferromagnetic property for a long time at all temperatures
(c ) have high permeability and low retentivity at room temperature
(d) high coercivity and low retentivity at room temperature
For the next 03 (three) items at follow:
A non –conducting disc of radius r and uniform positive surface charge density σ is palced on the ground, with its axis vertical. A particle of mass m and charge q is dropped along the axis of the disc from a height h with zero initial velocity. The ratio of charge to mass of the particle is given by q/m=(4∈_0 g)/σ .

Ans: a


31. What is the value of h if the particle just reaches the disc ?
(a) 4r/3

(b) 2r
(c ) 3r/2

(d) None of the above

Ans: a


32. At what position z (from the ground) will the particle attain equilibrium position ?
(a) z=r/2

(b) z=r/√3
(c ) z=r/√2

(d) None of the above

Ans: b


33. What is the minimum potential energy of the particle ?
(a) mgr

(b) √2 mgr
(c ) √3 mgr

(d) None of the above

Ans; c


For the next 02 (two ) items that follow :

A prism of refractive index n and another prism of refractive index m are stuck together without a gap as shown in the figure. The angles of the prisms are as shown. Refractive indices n and m depend on wavelength λ as follows :
n=1.20 +(10.8×〖10〗^4)/λ^2 and
m=1.45 +(1.80×〖10〗^4)/λ^2
Where λ is in nanometer.
34. What is the wavelength λ_0 for which rays incident at an angle on the interface BC pass through without bending at the interface ?
(a) 500 nm

(b) 600 nm
(c ) 650 nm

(d) None of the above

Ans: b


35. For light of wavelength λ_0 what is the angle of incidence on the face AC such that the deviation produced by the combination of the prisms is minimum ?
(a) 〖30〗^0

(b) 〖45〗^0
(c ) sin^(-1)⁡〖 (3/4)〗

(d) None of the above

Ans: c


For the next 02 (two) items that follow:

A disc of mass m and radius R is connected to springs each with spring constant k as shown in the figure. The disc is rolling on a rough surface.
36. If v is the velocity at any instant, then what is the kinetic energy of disk at that instant ?
(a) (mv^2)/2

(b) (2mv^2)/3
(c ) (3mv^2)/4

(d) None of the above

Ans: c


37. What is the time period of oscillation of disc ?
(a) T=2π √(m/k)
(b) T=2π √(3m/10k)
(c ) T=2π √(7m/10k)
(d) None of the above

Ans: b


For the next 02 (two ) items that follow:

12 wires, each having resistance R are joined to form a skeleton cube as shown in the figure.
38. What is the current through wire BE ?
(a) 0

(b) i/3
(c ) i-i_1

(d) None of the above

Ans: a


39. What is the equivalent resistance between A and C ?
(a) R/6

(b) 2R/3
(c ) 3R/4

(d) None of the above

Ans: c


40. A resistor is in the shape of a truncated right circular cone as shown in the figure. The end radii are a and b, and the length is L. The specific resistance of the material is ρ. What is the resistance of the object ? [Assume that the taper is small, so that the current density is uniform across any cross-section ]

(a) ρL/ab

(b) ρL/πab
(c ) ρL/π(b^2-a^2 )

(d) ρL/2π(b^2-a^2 )

Ans: b


41. A battery of emf 3V and internal resistance 0.2Ω is being charged with a current of 5 A. What is the potential difference between the terminals of the battery ?
(a) 2V

(b) 3V
(c ) 3.5 V

(d) 4V

Ans: d


42. An equilateral triangle is made of wires each having a resistance of 1 Ω . Any two corners are connected to a cell of emf 2 V. The current drawn from the cell is equal to
(a) 0.66 A

(b) 2 A
(c ) 3 A

(d) 3.5 A

Ans: c


43. A ray of light incident at an angle θ on the first refracting surface of a prism having small angle A gets refracted out normally from the second surface. If n is the refractive index of the material of the prism, then
(a) θ=A/n

(b) θ=nA
(c ) θ=A/((2n) )

(d) θ=(n-1)A

Ans: b


44. Light travels from air to water, from water to glass and then again from glass to air. If x represents refractive index of water with respect to air , y represents refractive index of glass with respect to water and z represents refractive index of air with respect to glass, then which one of the following is correct ?
(a) xy=z

(b) yz=x
(c ) zx=y

(d) xyz=1

Ans: d


45. A fusion reactor when achieved will have which of the following advantages over fission reactor ?
1. Elimination of nuclear waste disposal and nuclear pollution problems
2. Relative ease of procurement of nuclear fuel
Select the correct answer using the code given below :
(a) 1 only

(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Ans: c


46. A Particle with a positive charge travelling in the x-direction enters a region with a uniform magnetic field □(□(→┬B=Bj))
1. The particle will move in circular path.
2. The kinetic energy of the particle will increase.
3. The particle path will be confined to x= constant plane.
Which of the above statements is/are correct ?
(a) 1 and 3

(b) 2 and 3
(c ) 1 only

(d) 2 only

Ans: c


47. To increase the range of an ammeter of resistance (r)n times, a shunt of resistance (s) is connected in parallel with the ammeter coil. What would be the appropriate value of s ?
(a) nr

(b) r/((n-1) )
(c ) r/n

(d) r/((n+1) )

Ans: b


48. Consider the following statements :
When no current flows through a conductor,
1. the average velocity of free electrons over a large period of time is zero.
2. the average of the velocities of all the free electrons at any instant is zero.
Which of the above statements is/are correct ?
(a) 1 only

(b) 2 only
(c ) Both 1 and 2
(d) Neither 1 nor 2

Ans: c


49. Given that the ground state energy (n=1) of the hydrogen atom is -13.6 eV. The energy difference between n=1 and n=2 states of He^+ is
(a) 13.6 eV

(b) 27.2 eV
(c ) 40.8 eV

(d) 54.4 eV

Ans: c


50. Consider the following statements in respect of stationary waves :
1. The energy flux per unit area is zero.
2. The energy density is same throughout.
Which of the above statements is/are correct ?
(a) 1 only

(b) 2 only
(c ) Both 1 and 2
(d) Neither 1 nor 2

Ans: c


51. On the pole of the earth of radius R, a body is imparted velocity v directly vertically up. The height to which the body will ascend is
(a) vR/(2gR-v^2 )

(b) (2v^2 R)/(gR-v^2 )
(c ) (v^2 R)/(2gR-v^2 )

(d) (v^2 R)/(gR-v^2 )

Ans: c


52. A block takes n times as much time to slide down a rough incline of 〖45〗^0 as it takes to slide down a perfectly smooth 〖45〗^0 incline. The coefficient of kinetic friction is
(a) 1- 1/n^2

(b) 1/(1-n^2 )
(c ) 1/√(1-n^2 )

(d) √(1-1/n^2 )

Ans: a


53. The earth’s magnetic field varies with
(a) position

(b) time
(c ) both position and time
(d) neither position nor time

Ans: c


54. A particle is projected vertically upward from the surface of earth of radius R with kinetic energy equal to one –third of the minimum value needed for it to escape. The height to which it rises above the surface of earth is
(a) R

(b) R/2
(c ) 2R

(d) R/3

Ans: b


55. A piece of cork float in a vessel filled with kerosene. What part of its volume is submerged in kerosene ?
(a) 1/5

(b) 1/4
(c ) 1/3

(d) 3/4

Ans: b


56. Two particles of masses m and M initially at rest at infinite distance apart approach each other under inverse square law of force given by F=kr^(-2). Their relative speed of approach at the instant when they are at a distance d apart is
(a) √(2k/d (mM/(m+M)) )

(b) √(2k/d ((m+M)/mM) )
(c ) √(k/2d ((m+M)/mM) )

(d) None of the above

Ans: b


57. A pan pizza cools from 91  ^0 C to 79  ^0 C in 2 minutes, on a summer day, when the room temperature is 25  ^0 C. How long will the pan pizza take to cool (from 91  ^0 C to 79  ^0 C), on a winter day, when the room temperature is 5 ^0 C ?
(a) 3/2 minutes

(b) 1 minute
(c ) 1/2 minute

(d) 1/4 minute

Ans: a


58. A proton, a neutron, a β-particle and an α-particle are moving with equal velocity. Which one of the following is correct ?
1. β-particle has greatest de Broglie wavelength
2. α-particle has the smallest de Broglie wavelength
Select the correct answer using the code given below :
(a) 1 only

(b) 2 only
(c ) Both 1 and 2

(d) Neither 1 nor 2

Ans: c


59. Hydrostatic paradox states that the pressure exerted by a liquid
(a) depends on the shape of the containing vessel and independent of height of liquid column
(b) depends on both shape of the containing vessel and height of liquid column
(c ) independent of both shape of the containing vessel and height of liquid column
(d) depends on height only and independent of the shape of the containing vessel

Ans: d


60. A sphere of relative density ρ and diameter D ahs concentric cavity of diameter d. When the sphere just floats on water in tank, then which one of the following is correct ?
(a) D/d=((ρ+1)/ρ)^(1/3)

(b) D/d=((ρ-1)/ρ)^(1/3)
(c ) D/d =(ρ/(ρ-1))^(1/3)

(d) D/d=(ρ/(ρ+1))^(1/3)

Ans: a


61. Oxalic acid, when heated with conc. H_2 SO_4, gives
(a) H_2 O and CO_2

(b) H_2 O_2 and CO
(c) CO and CO_2

(d) CO_2 and H_2 S

Ans: a


62. Which one of the following is not used as a catalyst in the reaction of SO_2 with O_2 (for the formation of SO_3) ?
(a) V_2 O_5 supported on silica
(b) Platinized asbestos
(c ) Platinum gauze
(d) Charcoal
Ans: d

 

63. Which one of the following isotopes of fluorine is commonly used for NMR spectroscopy ?
(a)  _9^19 F

(b)  _9^18 F
(c )  _9^20 F

(d) None of the above
Ans: a

 

64. Consider the following trends in properties of hydrogen halides:
1. Acidic strength :
HF<HCl<HBr<HI
2. Thermal stability :
HF>HCl>HBr>HI
3. Dipole moment :
HF<HCl<HBr<HI
4. Reducing power :
HF>HCl>HBr>HI
The number of correct trends is :
(a) one

(b) Two
(c ) Three

(d) Four
Ans: b

 

65. The bond order of He_2^+ is
(a) 1

(b) 0

(c) 0.5

(d) 2
Ans: c

 

66. Liquefaction of helium gives two phases called helium –I and helium –II . Consider the following statements :
1. Helium – I is formed at 4.2 K.
2. Helium – II is formed at 4.2 K .
3. Helium – II is a superconductor.
4. Viscosity of Helium – II is nearly zero.
Which of the above statements are correct ?
(a) 1 and 2 only

(b) 1, 3 and 4 only
(c ) 2, 3 and 4 only

(d) 1, 2, 3 and 4
Ans: c

 

67. In electrolytic refining of copper, the electrodes used are
(a) Anode is impure copper plate and cathode is pure nickel plate
(b) Anode is pure copper plate and cathode is impure copper plate
(c ) Anode is impure copper plate and cathode is pure graphite plate
(d) Anode is impure copper plate and cathode is pure copper plate
Ans: d

 

68. The Cl_2 gas prepared by oxidation of HCl with MnO_2 contains impurities of HCl and H_2 O. Chlorine gas is best purified by passing through/over
(a) H_2 O and dry CaO
(b) H_2 O, concentrated H_2 SO_4 and dry CaO
(c ) concentrated H_2 SO_4 and dry CaO
(d) dry CaO only
Ans: d

 

69. In the extraction of Pb, ore is roasted in air to get PbO which is reduced to elemental Pb under different conditions :
1. Coke 2. CO
3. PbS
Of the above reducing agents the correct ones for this purpose are :
(a) 1 and 2 only

(b) 2 and 3 only
(c ) 1 and 3 only

(d) 1, 2 and 3
Ans: a

70. In the manufacturing of I_2 from the solution of chile salt petre, left after the crystallization of NaNO_3,IO_3^- is generally reduced to I^- with
(a) NaHSO_3
(b) adding finely divided zinc
(c ) passing SO_2
(d) adding SnCl_2
Ans: c

 

71. What is the hybridization of carbon atom ‘2’ in the following compound ?
■(1 2 3 4 @CH_2=CH=CH-CH_3 )
(a) sp^3

(b) sp^2
(c ) sp

(d) sp^3 d
Ans: b

 

72. Consider the following compounds :

Which of the above compounds has/ have phenolic -OH funciton ?
(a) I and III

(b) II and IV
(c ) I and II

(d) II only
Ans: d

 

73. Consider the following :

Which of the above is/are the correct stereochemical representation of (S)-1- bromoethyl benzene ?
(a) I

(b) II only
(c ) II and IV

(d) II and III
Ans: c

 

74. Consider the following molecules :

Which of the above are enantimers ?
(a) I and II

(b) I and III
(c ) I and IV

(d) III and IV
Ans: a

 

75. Consider the following compound :
■( 4 3 2 1@CH_3-CH-CH-CH_3@| |@CH_3 OH)
Which of the carbon atoms in this compound is/are asymmetric ?
(a) C-1 and C_4
(b) C-2 only
(c ) C-3 only
(d) C-2 only C-3
Ans: b

 

76. If light of energy 5 eV ejects electrons from copper metal with kinetic energy 0.2 eV, what is the approximate wavelength of light that will eject electrons with kinetic energy 1.8 eV ? [Planck’s constant =6.6×〖10〗^(-34) Joule second, charge of electron =1.6×〖10〗^(-19) C]
(a) 200 nm

(b) 400 nm
(c ) 100 nm

(d) 500 nm
Ans: a

77. The longest wavelength present in Balmer series lines is
[Given Rydberg constant =1.097 ×〖10〗^7 m^(-1)]
(a) 640 nm

(b) 656 nm
(c ) 662 nm

(d) 670 nm

Ans: b


78. For the iso-electronic series, which among the following species requires the least energy to remove an outer electron ?
(a) K^+

(b) Ag
(c ) Cl^-

(d) S^(2-)

Ans: b


79. The percentage of ionic character in HCl molecule which has dipole moment of 3.6×〖10〗^(-30) Coulomb metre and bond length of 123 pm, is
(a) 100%

(b) 87%
(c ) 24.2%

(d) 18.3%

Ans: d


80. Consider the following with regard to water molecule :
1. Non –polar covalent
2. Polar covalent
3. σ bond
4. sp^3 hybridization
Which of the above describe the bonding in water molecule ?
(a) 2 and 4 only
(b) 1 and 4
(c) 2 and 3 only
(d) 2, 3 and 4

Ans: d


81. An electric current of 0.965 A is passed for 2000 seconds through a solution containing [Cu(CH_3 CN)_4 ]^+ and metallic copper is deposited at the cathode. The amount of copper deposited is
(a) 0.005 mol

(b) 0.01 mol
(c ) 0.02 mol

(d) 0.04 mol

Ans: c


82. When sugar C_12 H_22 O_11 is burned to give carbon dioxide CO_2, the increase in oxidation number of carbon atoms is
(a) +4

(b) +2
(c ) +1

(d) 0

Ans: a


83. an ideal gas at initial pressure P_i and volume V_i undergoes reversible expansion to the same volume V_f either isothermally or adiabatically. Consider the following statements :
1. P_f (adiabatic )<P_f (isothermal )
2. |W(adiabatic) |<|W(isothermal) |
3. T_f (adiabatic )< T_f (isothermal )
4. |q(adiabatic) |<|q(isothermal) |
Where the symbols have their usual meaning .
How many statements of the above are correct ?
(a) Only one

(b) Only two
(c ) Only three

(d) All

Ans: d


84. Consider the following :
Mg(s)+2HCl (aq)→MgCl_2 (aq)+H_2 (g) ∆H=-467 kJ mol^(-1)
MgO(s)+2HCl(aq) → MgCl_2 (aq)+H_2 O (l) ∆H=-151 kJ mol^(-1)
And given that for water,
∆H_f^o=-286 kJ mol^(-1)
What is ∆H_f^o for MgO(s)?
(a) -904 kJmol^(-1)
(b) -602 kJ mol^(-1)
(c ) -334 kJmol^(-1)
(d) -30 kJ mol^(-1)

Ans: b


85. The half life of  ^14 C is 5570 years. If it takes t years for 90% of the ample to decompose, then which one of the following is correct ? [log_e⁡〖10=2.3]〗
(a) t<17,000 years
(b) 17,000 years <t<18,000 years
(c ) 18,000 years <t<19,000 years
(d) t>19,000 years

Ans: d


86. Consider the following equilibria involving SO_2 (g) and their corresponding equilibrium constants :
SO_4 (g)+1/2 O_2 (g)⇌ SO_3 (g) with equilibrium constant K_1
2SO_3 (g)⇌ 2SO_2 (g)+O_2 (g) which equilibrium constant K_2
Which one of the following is correct ?
(a) K_2=K_1^2

(b) K_2^2=K_1
(c ) K_2=K_1

(d) K_2 K_1^2=1

Ans: d


87. When a particular aqueous solution is diluted by a factor of ten with H_2 O, the pH increases by one unit. The solution most likely contains a
(a) Weak acid

(b) Strong base
(c ) Strong acid

(d) Buffer

Ans: c
88. a solution prepared from 1.25 g of oil of wintergreen in 99.0 g of benzene has a boiling point of 〖80.31〗^0 C. What is the molar mass of the compound, given that the normal boiling point of benzene is 80 .〖10〗^0 C and its boiling point elevation constant K_b is 2.53 K kg mol^(-1)?
(a) 137 gm mol^(-1)
(b) 150 gm mol^(-1)
(c ) 560 gm mol^(-1)
(d) 117 gm mol^(-1)

Ans: b


89. By dissolving 68.4 g of a compound whose molecular mass is 342 in 1 kg of water, a solution is prepared. If K_f for water is 1.86 K kg mol^(-1) then freezing point of the solution will be
(a) 272.8 K

(b) 273.5 K
(c ) 282.3 K

(d) 263.7 K

Ans: a


90. For the reaction
2NO(g)+O_2 (g)⇌2NO_2 (g),
The equilibrium concentrations at a certain temperature are found to be [NO]= 0.10 M ,[O_2 ]=0.20 M,[NO_2 ]= 0.30 M. The value of equilibrium constant at this temperature is
(a) 1.5

(b) 15
(c ) 45

(d) 150

Ans: c


91. What is the number of structural isomers for a compound with molecular formula C_5 H_12?
(a) 2

(b) 3
(c ) 4

(d) 5

Ans: b


92. Which of the following on ozonolysis yields propanal and acetone ?
(a) 2-hexane

(b) 3-hexane
(c ) 2 –methylpent – 2-ene
(d) None of the above

Ans: c


93. Consider the following compounds :
I. CH_3 Br

II. CH_3 CH_2 Br
III. ■(CH_3@|@CH_3-CHBr)
What is the correct order of reactivity of a nucleophile toward the above compounds ?
(a) I<II<III
(b) II <III<I
(c ) III<II<I
(d) III<I<II

Ans: c


94. Consider the following structures :

Which one of the following is correct in respect of above structures ?
(a) Anomers

(b) Epimers
(c ) Enantiomers

(d) Aldopentose

Ans: b


95. Consider the following compounds :
I. Cl_3 CCO_2 H

II. O_2 NCH_2 CO_2 H
III. NCCH_2 CO_2 H
What is the correct order of acidity of the above compounds ?
(a) I<III<II

(b) III<II<I
(c ) II<III<I

(d) III<I<II

Ans: d


96. Consider the following compounds :

Which of the above compounds is/are aromatic ?
(a) I only

(b) I and IV
(c ) I and V

(d) II and III

Ans: c


97. Which of the following conditions can bring about the following transformation ?

(a) conc. H_2 SO_4,〖80〗^0 C
(b) conc. H_2 SO_4,〖160〗^0 C
(c ) dil. H_2 SO_4,〖160〗^0 C
(d) None of the above

Ans: b


98. Which one of the following polysaccharides is soluble in water ?
(a) amylopectin

(b) Amylose
(c ) Cellulose

(d) Glycogen

Ans: a


99. Reactant and product are given in the following reaction :
CH_3=CH=CH_2→CH_3-CH_2-CH_2 OH
Which of the following reagents can one use for this reaction ?
(a) Dilute H_2 SO_4 solution
(b) (H-BH_2 )_2 |H_2 O_2 | NaOH(aq)
(c ) dilute NaOH solution
(d) Grignard reagent

Ans: b


100. Consider the following compounds :
I. ■(CH_3 @| @CH_3-C-H_2 OH@| @CH_3 )

IV. ■(CH_3@|@CH_2=CH-CHOH)
In which of the above compounds -OH group is attached to secondary carbon atom ?
(a) I and II

(b) I, III and IV
(c ) III and IV only

(d) II and III

Ans: c


101. The ortho and para nitorphenols can be separated by
(a) Steam distillation
(b) Crystallization
(c ) Sublimation
(d) Condensation

Ans: a


102. Consider the following :
I. SH^⊖

II. F^⊖
III. N ̈H_3

IV. ■(⊖@OH )

V. ■(⊖@OR )
What is the correct order of decreasing nucleophilicity in water ?
(a) I>III>II>IV>V
(b) II>V>IV>I>III
(c ) III>I>IV>V>II
(d) III>I>V>IV>II

Ans: d


103. Consider the following with regard to enzymes :
1. Enzymes are biocatalysts.
2. Enzymes are proteins in nature.
Which of the above statements is/are correct ?
(a) 1 only

(b) 2 only
(c ) Both 1 and 2

(d) Neither 1 nor 2

Ans: c


104. In the direct nitration of aniline by using HNO_3 | H_2 SO_4 at 288 K, a mixture of products is formed in which
(a) p-nitoraniline and o-nitroaniline are major products and m-nitroaniline is not formed
(b) p-nitroaniline and m-nitoraniine are major products and o-nitroaniline is minor product
(c ) p-nitoaline and o-nitoraniline are major products and m-nitroaline is minor product
(d) o-nitroaline and m-nitroaniline are major products and p-nitroaniline is minor product

Ans: c


105. Consider the following reaction :

What is the major product in the above reaction ?

Ans: b



106. Beta – carotene is the most important of the A vitamins. Its molar mass can be determined by measuring the osmotic pressure generated by a given mass of beta –carotene. If 10 mL of a solution containing 7.68 mg of beta – carotene, has an osmotic pressure of 3.54 ×〖10〗^(-2) bar at 〖25〗^0 C (R=0.083 dm^3 bar mol^(-1) K^(-1) ), the molar mass of beta –carotene is
(a) 109 g/mol

(b) 54 g/mol
(c ) 537 g/mol

(d) 768 g/mol

Ans: a


107. In the spontaneous beta particle (β^- ) emission, what is the source of the emitted electron ?
(a) the nucleus

(b) the 1s orbital
(c ) the outermost occupied orbital
(d) a random orbital

Ans: a


108. Which one of the following represent acid-base reaction according to Lewis definition, but not according to Bronsted-Lowry definition ?
(a) MgCl_2 (s)⇌Mg^(2+) (aq)+2Cl^- (aq)
(b) CN^-+H_2 O (l)⇌ HCN(aq)+OH^- (aq)
(c ) NH_3 (g)+HBr (g)⇌ NH_4 Br(s)
(d) Fe(H_2 O)_6^(3+) (aq)+H_2 O ⇌ [Fe(H_2 O)_5 OH]^(2+) (aq)+H_3 O^+ (aq)

Ans: c


109. A 0.20 molar solution of a weak monoprotic acid, HA, ahs a pH of 3.0. The ionization constant of the acid is
(a) 5.0 ×〖10〗^(-7)

(b) 2.0×〖10〗^(-7)
(c ) 5.0×〖10〗^(-6)

(d) 5.0 ×〖10〗^(-3)

Ans: c


110. If the radius of 1s electyron orbit of a hydrogen atom is 53 pm, then the radius of the 3p electron orbit would be
(a) 0.477 nm

(b) 477 nm
(c ) 159 pm

(d) 17.66 nm

Ans: a


111. In which one of the following properties of hydrogen, its resemblance with halogens is seen ?
1. It forms oxides
2. It forms a diatomic molecule
3. Its ionization enthalpy is quite high
4. It forms numerous covalent compounds
Select the correct answer using the code given below :
(a) 2, 3 and 4 only
(b) 1, 2 and 3 only
( c) 1 and 4 only
(d) 1, 2, 3 and 4

Ans: d


112. The radioactivity is highest for which one of the following ?
(a) Ortho hydrogen
(b) Tritium
(c ) Protium
(d) Deuterium

Ans: b


113. Consider the following reactions :
1. T_2+CuO → T_2 O+Cu
2. 2T_2+O_2 ■(□(→┴( Pd ) )@catalyst ) 2T_2 O
3. 2T_2+O_2 □(→┴( sunlight ) ) 2T_2 O
Which of the above give good yield of T_2 O in laboratory conditions ?
(a) 1, 2 and 3

(b) 1 and 2 only
(c ) 2 and 3 only

(d) 1 and 3 only

Ans: b


114. Consider the following compounds :
1. CaCl_2

2. BeCl_2
3. BaCl_2

4. SrCl_2
5. MgCl_2
What is the correct order of melting point for the above compounds ?
(a) 1>2>3>4>5
(b) 3>4>1>5>2
(c ) 2>5>1>4>3
(d) 4>2>5>1>3

Ans: b


115. Which one of the following is used for water softening ?
(a) Ca_3 (PO_4 )_2
(b) Na_3 PO_4
(c ) Na_2 [Na_4 (PO_3 )_6 ]
(d) Na_2 HPO_4

Ans: c


116. Bubbling of CO_2 through lime water results in a turbid solution. This is due to formation of
(a) Ca(HCO_3 )_2
(b) CaCO_3
(c ) Ca(OH)_2
(d) CaO

Ans: b


117. Partial dehydration of gypsum at around 〖150〗^0 C affords mainly
(a) CaSO_4

(b) CaSO_4.2H_2 O
(c ) CaSO_4.1/2 H_2 O

(d) CaSO_4.H_2 O

Ans: c


118. Consider the following statements with regard to magnesium sulphate :
1. It is sparingly soluble in water .
2. Its solubility in water is less than calcium sulphate .
3. When heated to 〖900〗^0 C, to gives magnesium oxide.
Which of the above statements is/are correct ?
(a) 1 and 3

(b) 2 only
(c ) 3 only

(d) 2 and 3

Ans: c


119. The number and type of bonds between two carbon atoms in CaC_2 are
(a) One σ bond and one π bond
(b) One σ bond and two π bonds
(c ) One σ bond only
(d) One σ and one δ bond

Ans: b


120. Among the following allotropic forms of sulphur, which does not contain S_8 rings ?
(a) Monoclinic sulphur
(b) Engel’s sulphur
(c ) Rhombic sulphur
(d) γ-monoclinic sulphur
Ans: b

 

 

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