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JEE Main202124 Feb 2021Morning ShiftPhysicsThermal Properties of MatterActual

Each side of a box made of metal sheet in cubic shape is a at room temperature T , the coefficient of linear expansion of the metal sheet is α . The metal sheet is heated uniformly, by a small temperature Δ T , so that its new temperature is T + Δ T . Calculate the increase in the volume of the metal box.

Options

  1. A4 a 3 α Δ T
  2. B3 a 3 α Δ T
  3. C4 π a 3 α Δ T
  4. D4 3 π a 3 α Δ T

Correct answer

B. 3 a 3 α Δ T

Step-by-step solution

Δ V = V γ Δ T Δ V = 3 a 3 α Δ T

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