Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Units and Dimensions

NEET 2023 · Physics · Units and Dimensions

The mechanical quantity, which has dimensions of reciprocal of mass...

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

Options

  1. ATorque
  2. BGravitational constant
  3. CAngular momentum
  4. DCoefficient of thermal conductivity

Correct answer

B. Gravitational constant

Step-by-step solution

We know that, F=GM1M2r2F=\frac{G M_1 M_2}{r^2}⇒[G]=[F][r2][M1][M2]=[MLT−2][L2][M][M]⇒[G]=[M−1 L3 T−2]\begin{aligned} & \Rightarrow \quad[G]=\frac{[F]\left[r^2\right]}{\left[M_1\right]\left[M_2\right]}=\frac{\left[\mathrm{MLT}^{-2}\right]\left[\mathrm{L}^2\right]}{[\mathrm{M}][\mathrm{M}]} \\ & \Rightarrow[G]=\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]\end{aligned}$$ i.e., gravitational constant is mechanical quantity which has dimensions of reciprocal of mass \left(\mathrm{M}^{-1}\right)
Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

If the errors involved in the measurement of a side and the mass of a cube are 2\% and… MHT CET Medical 2026If the mass of the object is measured as m = (7 ∓ 0.14) kg and the density is measured as… MHT CET Medical 2026Consider that σ_s , k_B , b represent Stefan-Boltzmann constant, Boltzmann constant and… NEET 2026The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the… NEET 2026Each side of a metallic cube of mass 5.580 kg is measured to be 9.0 cm. Keeping the… NEET 2026A physical quantity P is related to four observations a, b, c and d as follows : P=a^3… NEET 2025A balloon is made of a material of surface tension S and its inflation outlet (from where… NEET 2025The quantities which have the same dimensions as those of solid angle are: NEET 2024 Full Units and Dimensions list All NEET PYQs