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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Physics
Chapter
Units and Dimensions

JIPMER 2019 · Physics · Units and Dimensions

If mass (M) , distance (L) and time (T) are fundamental quantities,...

If mass (M)(\mathrm{M}), distance (L)(\mathrm{L}) and time (T)(\mathrm{T}) are fundamental quantities, then find dimension of torque.

Options

  1. A[ML2 T−2]\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]
  2. B[MLT−2]\left[\mathrm{MLT}^{-2}\right]
  3. C[MLT][M L T]
  4. D[ML2T]\left[M L^2 T\right]

Correct answer

A. [ML2 T−2]\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]

Step-by-step solution

Dimension of torque τ=F×r=[MLT−2][L]=[ML2 T−2]\begin{aligned} \tau & =\mathrm{F} \times \mathrm{r}=\left[\mathrm{MLT}^{-2}\right][\mathrm{L}] \\ & =\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right] \end{aligned}
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