If the value of $G$, the gravitational constant in C. G. S. system is $6.70 \times 10^{-8}$, then what is its value in S. I. unit?
in Physics
7 views
1 Vote
1 Vote
If the value of $G$, the gravitational constant in C. G. S. system is $6.70 \times 10^{-8}$, then what is its value in S. I. unit?
in Physics
by
4.3k Points

1 Answer

1 Vote
1 Vote
 
Best Answer

Ans. If the value of $G$, the gravitational constant in C. G. S. system is $6.70 \times 10^{-8}$, then its value in S.I. unit will be $6.70 \times 10^{-11}$

The dimension of $G$ is $\left[M^{-1} L^{3} T^{-2}\right]$

we have, $N _{1} U _{1}= N _{2} U _{2}$

$\therefore \quad N _{1} = N _{2}\left[\frac{ U _{2}}{ U _{1}}\right]$

$= N _{2}\left[\frac{ M _{2}}{ M _{1}}\right]^{-1}\left[\frac{ L _{2}}{ L _{1}}\right]^{3}\left[\frac{ T _{2}}{ T _{1}}\right]^{-2}$

$= N _{2}\left[\frac{10^{-3} kg }{1 kg }\right]^{-1}\left[\frac{10^{-2} \text { metre }}{1 \text { metre }}\right]^{3}\left[\frac{ sec }{ sec }\right]^{-2}$

$=6.70 \times 10^{-8} \times 10^{-3}=6.70 \times 10^{-11}$

by
4.3k Points

Related Questions

1 Vote
1 Vote
1 Answer 4 Views
1 Vote
1 Vote
0 Answers 13 Views

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media