RE-NEET2026Physics-Thermal Expansion

RE-NEET 2026 Physics Volume Expansion MCQ Question

Type: MCQ-numerical-Medium

The temperature of a metallic sphere of radius R is increased by a small amount ΔT. If the linear coefficient of thermal expansion of the metal is α, the approximate increase in the volume of the sphere is:

A

3πR³αΔT

B

4πR³αΔT

C

6πR³αΔT

D

2πR³αΔT

Correct Answer

Option C

Detailed Explanation

The volume expansion is given by ΔV = 3αVΔT for a sphere, where V = 4/3πR³. Thus, the increase in volume is approximately 6πR³αΔT.

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