The mechanical quantity, which has dimensions of reciprocal of mass (M⁻¹) is: (a) angular momentum (b) coefficient of thermal conductivity (c) torque (d) gravitational constant

Answer: (d). Angular momentum [ML²T⁻¹], thermal conductivity [MLT⁻³K⁻¹], torque [ML²T⁻²]. G = (Fr²)/(m₁ m₂) ⇒ [G] = [M⁻¹L³T⁻²] Only G has mass with power -1. So the answer is (d) gravitational constant.

The mechanical quantity, which has dimensions of reciprocal of mass… | NEET 2023

Q35NEET 2023Easy

Units & Dimensions

The mechanical quantity, which has dimensions of reciprocal of mass $(\mathrm{M}^{-1})$ is:

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Answer: (d)

Angular momentum $[\mathrm{ML^2T^{-1}}]$ , thermal conductivity $[\mathrm{MLT^{-3}K^{-1}}]$ , torque $[\mathrm{ML^2T^{-2}}]$ .
$G = \frac{Fr^2}{m_1 m_2} \Rightarrow [G] = [\mathrm{M^{-1}L^{3}T^{-2}}]$
Only $G$ has mass with power $-1$ .
So the answer is (d) gravitational constant.

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