UPSC NDA I Exam Paper 16 April 2023 (General Ability Test) (Answer Key)

PART – B

51. Two identical spring balances S₁ and S₂ are connected one after the other and are held vertically as shown in the figure. A mass of 10 kg is hanging from S₂. If the readings on S₁ and S₂ are W₁ and W₂ respectively, then :

(a) W₁ = 5 kg and W₂ = 10 kg
(b) W₁ = 10 kg and W₂ = 5 kg
(c) W₁ = 5 kg and W₂ = 5 kg
(d) W₁ = 10 kg and W₂ = 10 kg

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52. A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
(a) R = 12 m
(b) R = 18 m
(c) R = 24 m
(d) R = 30 m

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53. A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f₁V (f₁ < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a <g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f₂V. Then :
(a) f₂ = f₁
(b) f₂ = (1 – a/g) f₁
(c) f₂ > f₁
(d) f₂ = f₁

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54. Two identical containers X and Y are connected at the bottom by a thin tube of negligible volume. The tube has a valve in it, as shown in the figure. Initially container X has a liquid filled up to height h in it and container Y is empty. When the valve is opened, both containers have equal amount of liquid in equilibrium. If the initial (before the valve is opened) potential energy of the liquid is P₁ and the final potential energy is P₂ then:

(a) P₁ = P₂
(b) P₁ = 4P₂
(c) P₁ = 2P₂
(d) P₁ = 8P₂

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55. A particle is moving in a circle of radius R with a constant speed v. Its average acceleration over the time when it moves over half the circle is :
(a) v₂/R
(b) πv₂/2R
(c) 2v₂/πR
(d) 0

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56. Two forces of 5.0 N each are acting on a point mass. If the angle between the forces is 60°, then the net force acting on the point mass has magnitude close to :
(a) 8.6 N
(b) 4.3 N
(c) 5.0 N
(d) 6.7 N

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57. Which one of the following is not an igneous rock?
(a) Granite
(b) Slate
(c) Basalt
(d) Gabbro

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58. Which of the following statements is/are correct?
1. Hypocenter is the point on the surface of the Earth, nearest to the focus.
2. Velocity of earthquake waves is higher in denser materials.
3. P waves move faster and are the first to arrive at the surface of the Earth.
Select the correct answer using the code given below:
(a) 1 and 2
(b) 2 and 3
(c) 1 and 3
(d) 3 only

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59. In terms of geological time scale, the quaternary period consists of two epochs. They are:
(a) Pleistocene and Pliocene
(b) Holocene and Pleistocene
(c) Pleistocene and Miocene
(d) Holocene and Eocene

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60. Which one of the following is the correct sequence of arrangement of the given planets in descending order of their density (in gm/cm³)?
(a) Earth > Jupiter > Venus > Saturn
(b) Jupiter > Earth > Saturn > Venus
(c) Earth > Venus > Jupiter > Saturn
(d) Earth > Venus > Saturn > Jupiter

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