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  • Dimensional Formula  is equal to<div class='qna-option

Dimensional Formula \left [ M^{-1}L^3T^{-2} \right ] is equal to

Option: 1

Gravitational Field


Option: 2

Stefan Constant


Option: 3

Gravitational Constant


Option: 4

Gas Constant


Answers (1)

best_answer

As we learnt

 

Universal Gravitational Constant (G) -

 

Value of G is   6.67\times 10^{-11}\; N\: -m^{2}kg^{-2}\; \; \; (S.I.)

Dimension Formula \left [ M^{-1}L^{3}T^{-2} \right ]

 

- wherein

(i) Value of G does not depend upon the nature & size of bodies

(ii) Also independent of nature of med. between two bodies.

 

As F=\frac{Gm_{1}m_{2}}{r^2}

G=\frac{Fr^2}{m_{1}m_{2}}

G=\frac{[F][r^2]}{[m_{1}][m_{2}]}

G=\frac{[MLT^{-2}][L^2]}{[M][M]}

G=\left [ M^{-1}L^{3}T^{-2} \right ]

 

 

 

Posted by

Rakesh

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