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COMEDK · Physics · 2. Units and Dimensions

The dimensions of universal gravitational constant is

  1. A \(\left[\mathrm{M}^{2} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)
  2. B \(\left[\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)
  3. C \(\left[\mathrm{M}^{-2} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)
  4. D \(\left[\mathrm{M}^{2} \mathrm{~L}^{-3} \mathrm{~T}^{-2}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\left[\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)

Step-by-step Solution

Detailed explanation

According to Newton's law of gravitation, \[ F=\frac{G m_{1} m_{2}}{r^{2}} \] where, \(F=\) force between two objects of masses \(m_{1}\) and \(m_{2}\) and \(r=\) distance between \(m_{1}\) and \(m_{2}\).…