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COMEDK · Physics · 2. Units and Dimensions

Dimensional formula for the universal gravitational constant \(G\) is

  1. A \(\left[\mathrm{M}^{-1} \mathrm{~L}^{2} \mathrm{~T}^{-2}\right]\)
  2. B \(\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0}\right]\)
  3. C \(\left[\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right]\)
  4. D \(\left[\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-1}\right]\)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

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