If the radius of the earth was half of its present value and its mass `(1//8)^("th")` of the present mass, the g value would have been reduced to

Options

A. `(1)/(8)g`
B. `(1)/(2)g`
C. `(1)/(3)g`
D. g

Answer

b

Explanation

`(g_(2))/(g_(1))=(m_(2))/(m_(1))xx((R_(1))/(R_(2)))^(2)=(1)/(8)xx4=(1)/(2)`
`g_(2)=(1)/(2)g_(1).`