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. 1:1:1
B. 1:2:3
C. 1:3:5
D. 1:4:9
Answer: Option C
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.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1
Mirage is an optical illusion observed in hot deserts. It is entirely caused by:
A. Interference of light
B. Scattering of light
C. Total internal reflection of light
D. Diffraction of light

Correct Answer: Option C


Explanation:
In hot deserts, the sand heats the air immediately above it, making it less dense (optically rarer) than cooler air higher up. Light from a tall object (like the sky or a tree) traveling downwards passes from denser to rarer air layers, bending away from the normal. Eventually, the angle of incidence exceeds the critical angle, causing total internal reflection. The observer perceives this reflected light as a pool of water on the ground.

This question belongs to: Science Physics
Question #2
Which of the following devices relies on the heating effect of electric current?
A. Transformer
B. Electric generator
C. Electric iron
D. Electric fan

Correct Answer: Option C


Explanation:
An electric iron contains a heating element (usually nichrome). When electric current passes through this high-resistance element, it produces heat according to Joule's law (H = I²Rt). An electric fan uses the magnetic effect (motor), a generator uses electromagnetic induction, and a transformer uses mutual induction.

This question belongs to: Science Physics
Question #3
The percentage error in measurement of a cube's side is 2%. Maximum percentage error in its volume is:
A. 6%
B. 8%
C. 2%
D. 4%

Correct Answer: Option A


Explanation:
Volume V = a³. For error propagation: % error in V = 3 × % error in a. Given 2% error in side, volume error = 3×2% = 6%. Power rule: if Q = xⁿ, %ΔQ = |n|×%Δx. Memory tip: Volume depends on cube of length ⇒ errors triple. Common in experimental error analysis questions.

This question belongs to: Science Physics