If the percentage error in measurement of radius of a sphere is 2%, the percentage error in volume is MCQ with Answer and Explanation

If the percentage error in measurement of radius of a sphere is 2%, the percentage error in volume is
A. 6%
B. 8%
C. 2%
D. 4%
Answer: Option A
Solution (By JKSSB Mock Tests)
Volume V = (4/3)πr³, so ΔV/V = 3 Δr/r. Percentage error in volume = 3 × 2% = 6%.

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Practice More Physics Questions

Question #1
Two bodies A and B start from the same point with velocities 10 m/s and 15 m/s respectively in the same direction. If B starts 2 seconds after A, the time after which B catches A is:
A. 4 s
B. 6 s
C. 10 s
D. 8 s

Correct Answer: Option B


Explanation:
When B starts, A has already traveled 10 m/s × 2 s = 20 m. Relative velocity of B w.r.t A = 15 - 10 = 5 m/s. Time to cover 20 m gap at 5 m/s relative speed = 20/5 = 4 s after B starts. Since B started 2 s late, total time from A's start = 2 + 4 = 6 s. Alternatively, equate distances: 10t = 15(t-2) ⇒ 10t = 15t - 30 ⇒ t = 6 s. This relative motion approach simplifies pursuit problems. Memory tip: In same-direction motion, use relative velocity = |v₁ - v₂|. Frequently tested in kinematics sections of competitive exams.

This question belongs to: Science Physics
Question #2
The human eye lens is
A. Convex of fixed focal length
B. Plano-convex
C. Convex with variable focal length
D. Concave

Correct Answer: Option C


Explanation:
Eye lens is convex, focal length changed by ciliary muscles (accommodation).

This question belongs to: Science Physics
Question #3
The maximum displacement of a particle from mean position in SHM is called
A. Wavelength
B. Frequency
C. Time period
D. Amplitude

Correct Answer: Option D


Explanation:
Amplitude is max displacement.

This question belongs to: Science Physics