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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Physics
Chapter
Units and Dimensions

AIIMS 2019 · 25 May · Physics · Units and Dimensions

The only mechanical quantity which has negative dimension of mass is

The only mechanical quantity which has negative dimension of mass is

Options

  1. Aangular momentum
  2. Btorque
  3. Ccoefficient of thermal conductivity
  4. Dgravitational constant

Correct answer

D. gravitational constant

Step-by-step solution

 F=Gm1m2r2 or  G=Fr2m1m2[G]=[MLT−2L2M2] or [G]=[M−1L3T−2]\begin{aligned} & \text{ } F=\frac{G m_1 m_2}{r^2} \text{\text{ or } } G=\frac{F r^2}{m_1 m_2} \\ & {[G]=\left[\frac{\mathrm{MLT}^{-2} \mathrm{ L}^2}{\mathrm{M}^2}\right] \text{ or }[G]=\left[\mathrm{M}^{-1} \mathrm{ L}^3 \mathrm{ T}^{-2}\right]}\end{aligned}
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