The radius of a metal sphere at room temperature T is R, and the coefficient of linear…

Physics · JEE Main · NTA ExamsThermodynamics

The radius of a metal sphere at room temperature T is R, and the coefficient of linear expansion of the metal is α. The sphere is heated a little by a temperature ∆T so that its new temperature is (T + ∆T). The increase in the volume of the sphere is approximately :
  1. 2πR α∆T
  2. πR2 α∆T
  3. 4πR3 α∆T/3
  4. 4πR3 α∆T

Answer

(D) 4 π R 3 α∆ T

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