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  2. 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
# Engineering

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

Answers (1)
S Satyajeet Kumar

Dimensional formula = 

M^{-1}L^3 T^{-2} \\\\ so \: \: \: a = -1 \: \: b = 3 \: \: c = -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}

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