If the unit of length be doubled then the numercial value of the universal gravitation constant G will become ( with respect to present value )

Options

A. Double
B. Half
C. `8` times
D. `1//8` times

Answer

D

Explanation

`:' n_(1)u_(1)=n_(2)u_(2)`
`:. N_(2)/n_(1)=u_(1)/u_(2)=(M_(1)^(-1)L_(1)^(3)T_(1)^(-2))/(M_(2)^(-1)L_(2)^(3)T_(2)^(-2))=(M^(-1)L^(3)T^(-2))/(M^(-1)(2L)^(3)T^(-2))=1/8`