1.

Convert gravitational constant (G) from CGS t o MKS system.

Answer» The dimensional formula of G is `[M^(-1) L^(3) T^(-2) ]`, i.,e `a = -1 , b = 3 , c = -2`.
By using `n_(2) = n_(1) [(M_(1))/(M_(2))]^(a) [[(L_(1))/(L_(2))]^(b)[(T_(1))/(T_(2))]^(c)`
Value of G in CGS unit
`= 6.67 xx 10^(-8) cm^(3) g s^(-2)`
`= 6.67 xx 10^(-8) [(g)/(kg)]^(-1) [(cm)/(m)]^(3) [(s)/(s)]^(-2)`
`= 6.67 xx 10^(-8) [ (g)/(10^(3) g)]^(-1) [ ( cm)/( 10^(2) cm)]^(3) [ (s)/(s)]^(-2)`
= 6.67 xx 10^(-11)`
`:. = 6.67 xx 10^(-11)` MKS units


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