Q74 / 100 · BITSAT 2024 (Memory Based Paper 2) · Physics

The dimensional formula of latent heat is:

  • A
    $\left[\mathrm{M}^0 \mathrm{LT}^{-2}\right]$
  • B
    $\left[\mathrm{MLT}^{-2}\right]$
  • Correct answer
    C
    $\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$
  • D
    $\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$

Solution

Heat, $\mathrm{Q}=\mathrm{mL} \quad$ where, $\mathrm{L}=$ latent heat $\therefore \mathrm{L}=\frac{\mathrm{Q}}{\mathrm{m}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{M}}=\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}$

Hence, the correct answer is option: 'C'.

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