WBJEE · Physics · Units and Dimensions
The dimension of the universal constant of gravitation, \(G\) is
- A \(\left[\mathrm{ML}^{2} \mathrm{T}^{-1}\right]\)
- B \(\left[\mathrm{M}^{-1} \mathrm{L}^{3} \mathrm{T}^{-2}\right]\)
- C \(\left[\mathrm{M}^{-1} \mathrm{L}^{2} \mathrm{T}^{-2}\right]\)
- D \(\left[\mathrm{ML}^{3} \mathrm{T}^{-2}\right]\)
Answer & Solution
Correct Answer
(C) \(\left[\mathrm{M}^{-1} \mathrm{L}^{2} \mathrm{T}^{-2}\right]\)
Step-by-step Solution
Detailed explanation
The dimensions of universal constant \(G\), is obtained by Newton's law of gravitation \(F=\frac{G m_{1} m_{2}}{r^{2}}\) \(\begin{array}{l} G=\frac{F \times r^{2}}{m_{1} m_{2}} \\ F=\text { Force } \end{array}\) \(r=\) Distance \(m_{1}\) and \(m_{2}\) are masses…
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