Question
The temperature of a metallic sphere of radius R is increased by a small amount T. If the linear coefficient of thermal expansion of the metal is , the approximate increase in the volume of the sphere is :
NEET
Physics
Thermal Properties of Matter
2026
NEET 2026 (Re-NEET)
NEET Physics Question (2026) — Solution
Options
- A. 6 R^3 T
- B. 2 R^3 T
- C. 3 R^3 T
- D. 4 R^3 T
Answer
D. 4 R^3 T
Step-by-step solution
The initial volume of the metallic sphere is V = 4 3 R^3. The coefficient of volume expansion is related to the linear coefficient of thermal expansion as = 3 . The increase in volume V due to a temperature increase T is given by V = V T. Substituting the values of V and , we get: V = ( 4 3 R^3 )(3 ) T V = 4 R^3 T Answer: 4 R^3 T
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