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BITSAT 2024Paper 2
Exam
BITSAT
Year
2024
Paper
Paper 2
Subject
Physics
Chapter
Units and Dimensions

BITSAT 2024 · Paper 2 · Physics · Units and Dimensions

The dimensional formula of latent heat is:

The dimensional formula of latent heat is:

Options

  1. A[M0LT−2]\left[\mathrm{M}^0 \mathrm{LT}^{-2}\right]
  2. B[MLT−2]\left[\mathrm{MLT}^{-2}\right]
  3. C[M0 L2 T−2]\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]
  4. D[ML2 T−2]\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]

Correct answer

C. [M0 L2 T−2]\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]

Step-by-step solution

Heat, Q=mL\mathrm{Q}=\mathrm{mL} \quad where, L=\mathrm{L}= latent heat ∴L=Qm=ML2T−2M=M0L2T−2\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}
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