Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics
Find the dimensions of the specific heat capacity c . An equation involving this quantity is Q = mc(T₂ - T₁) .
Options
- AL^2 T⁻² K⁻¹
- BL^2 T⁻²
- CM L T⁻² K⁻¹
- DML^2 T⁻² K⁻¹
Correct answer
A. L^2 T⁻² K⁻¹
Step-by-step solution
The given equation is Q = mc(T₂ - T₁) Rearranging for specific heat capacity c : c = Q m(T₂ - T₁) The dimensional formula for heat energy Q is [M L^2 T⁻²] The dimensional formula for mass m is [M] The dimensional formula for temperature difference (T₂ - T₁) is [K] Substituting these dimensions: [c] = [M L^2 T⁻²] [M][K] [c] = [L^2 T⁻² K⁻¹]