Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The value of G in CGS system is <img alt="6.67 \times 10^{-8} \text { dyn} \ \mathrm{cm}^{2}\mathrm{g}^{-2}" src="/latex-image/?6.67%20%5Ctimes%2010%5E%7B-8%7D%20%5Ctext%20%7B%20dyn%7D%20

The value of G in CGS system is 6.67 \times 10^{-8} \text { dyn} \ \mathrm{cm}^{2}\mathrm{g}^{-2} . Its value in SI units is 6.67 \times 10^{n} .What is the value of n 

Option: 1

10


Option: 2

15


Option: 3

-11


Option: 4

8


Answers (1)

best_answer

As we have learned

C.G.S. system -

In this system, fundamental units are centimeter (cm), gram (g) and second (s)

 

 CGS system                                             SI unit 

n_1 = 6.67 \times 10^{-8}                             n_2 = ?

M_1 = 1g                                              M_1 = 1Kg

L_1 = 1cm                                             L_2 = 1m

T_1 = 1 sec                                               T_2 = 1 sec

Dimensional formula = 

M^{-1}L^3 T^{-2} : \: \\\\ n_2 = 6.67 \times 10^{-8}\left [ \frac{1g}{1kg} \right ]^{-1}\left [ \frac{1cm}{1cm} \right ]^3\left [ \frac{1s}{1s} \right ]^{-2}

Simplyfying 

n_2 = 6.67 \times 10^{-11} Nm^2 kg ^{-2}

So, n = -11

 

 

 

Posted by

mansi

View full answer

Similar Questions

Trending Articles/News

anam-khan

JNTU Hyderabad TS EAMCET cut-off trends for BTech; CSE, AI, cybersecurity most sought-after

Latest Question