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Question

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

A.

+ 10 

B.

+15 

C.

-11 

D.

+8 

Answers (1)

 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}

 

 

Posted by

Safeer PP

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