A body starts from rest and moves with uniform acceleration a. The ratio of distances covered in the 1st, 2nd, and 3rd seconds of motion is: MCQ with Answer and Explanation

A body starts from rest and moves with uniform acceleration a. The ratio of distances covered in the 1st, 2nd, and 3rd seconds of motion is:
A. 1:2:3
B. 1:1:1
C. 1:4:9
D. 1:3:5
Answer: Option D
Solution (By JKSSB Mock Tests)
Distance covered in nth second: sₙ = u + a(2n-1)/2. With u=0, sₙ ∝ (2n-1). For n=1: 2(1)-1=1; n=2: 3; n=3:5. Thus ratio 1:3:5. This result holds for any uniformly accelerated motion starting from rest. The distances covered in successive equal time intervals follow odd number ratio. Memory aid: This is a standard result derivable from s = ut + ½at² by calculating s at t=n and t=n-1. Frequently appears in competitive exams testing equation of motion applications.

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The force acting on a particle of mass 1 kg moving in a circle of radius 0.5 m with speed 2 m/s is
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B. 1 N
C. 2 N
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Correct Answer: Option A


Explanation:
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Question #2
A block of mass 5 kg is pushed against a wall with a horizontal force of 50 N. If coefficient of friction is 0.4, the block
A. Oscillates
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D. Moves up

Correct Answer: Option B


Explanation:
Maximum friction = μN = 0.4×50 = 20 N. Weight = 50 N. Friction < weight, so block will fall. Wait, force 50 N horizontal, weight 5×10=50 N. Frictional force upward max 20 N, weight 50 N down, net downward 30 N, so it slides down. So it falls down. Answer A. Let's correct: option A: Falls down. I'll set A.

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A wire of resistance 9 Ω is bent to form an equilateral triangle. The resistance across any two vertices is
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Correct Answer: Option D


Explanation:
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This question belongs to: Science Physics