UKSSSC Police Head Constable (Mukhya Aarakshi) Telecommunication Exam 31 July 2022 (Official Answer Key)

61. Which term of the series 20, 18, 16 …. is -2?
(A) 10
(B) 13
(C) 12
(D) 11

62. When r=3, then the rate of change of area of the circle with respect to its radius will be:
(A) 3π cm2 /sec
(B) 4π cm2/sec.
(C) 6π cm2/sec.
(D) None of the above

63. If and then the value of will be :
(A) 19√2
(B) 20√2
(C) √200
(D) None of the above

64. If ¹⁵C_3r = ¹⁵C_r+3 then the value of r will be:
(A) 3
(B) 5
(C) 7
(D) 2

65. The reason of brilliance of diamond is:
(A) Interference
(B) Diffraction
(C) Total internal reflection
(D) Polarization

66. At what speed does a listener move with respect to a stationary sound source that he or she may hear twice the frequency of the source?
(A) Half of the speed of sound towards the source
(B) Double of the speed of sound towards the source
(C) Speed of sound away from the source
(D) Speed of sound towards source

67. At what height from the centre of the earth do Geostationary satellites revolves in their orbit?
(A) 35,800 Km
(B) 30,700 Km
(C) 32,600 Km
(D) 31,400 Km

68. Two capacitors of capacitance C are connected in series. If one of them is completely filled with dielectric medium of dielectric constant K, what would be their effective capacitance?
(A) KC/(1+K)
(B) C(K+1)
(C) 2KC/(1+K)
(D) (1+K)/KC

69. Which of the following gate is a universal gate?
(A) OR
(B) NAND
(C) NOT
(D) AND

70. S.I. unit of magnetic flux is:
(A) Gauss
(B) Weber/m.²
(C) Tesla
(D) Weber

71. If a set A has n elements, then the number of elements in the power set of A will be:
(A) n²
(B) 2ⁿ
(C) 2²ⁿ
(D) 2ⁿ⁺¹

72. The Integration Factor (I.F) of differential equation  will be :
(A) e^-x
(B) e^-y
(C) 1/x
(D) x

73. On increasing the temperature, the viscosity of a liquid:
(A) decreases
(B) increases
(C) no change
(D) None of the above

74. A wheel makes 360 revolutions in one minute, then number of radians does it turn in one second is :
(A) 15π Radian
(B) 8π Radian
(C) 12π Radian
(D) 16π Radian

75. A body is projected from earth with a velocity of . What will be the maximum height gain by the body? (g = 10 m/s.²):
(A) 5m
(B) 3 m
(C) 6 m
(D) .45 m

76. A radioactive series ₉₂U²³⁸ → ₈₂Pb²⁰⁶ . How many α and β particles will be emitted?
(A) 10β, 6α
(B) 12α, 6β
(C) 8α, 8β
(D) 8α, 6β

77. The angle between and will be :
(A) 45°
(B) 90°
(C) 60°
(D) 180°

78. If R is a relation on a finite set A having n elements, then number of relations on A will be:
(A) 2ⁿ
(B)
(C) n²
(D) nⁿ

79. The dimension of modulus of elasticity is
(A) [M²L¹T²]
(B) ]M^-1L^-1T^-2]
(C) [MLT^-2]
(D) [ML^-1T^-2]

80. The maximum value of (1/x)^x will be.
(A) e
(B) e^e
(C) e^1/e
(D) (1/e)^1/e