The difference between weights of a body of mass 10 kg on the moon and Pluto is 10.15 N. If acceleration due to gravity on the moon is `1.625 m s^(-2)` , then the ratio of acceleration due to gravity on moon to that on Pluto is

Options

A. A and R are true and R is the correct explanation of A.
B. A and R are true, but R is not the correct explanation of A.
C. A is true but R is false.
D. Both A and R are false.

Answer

A

Explanation

`W_(m)-W_(p)=10.15`
`mg_(m)-mg_(p)=10.15`
`10(1.625-g_(p))=10.15`
`1.625-g_(p)=1.015`
`g_(p)=1.625-1.015`
`:. g_(p)=0.61 ms^(-2)`
Hence the correct answer is 0.61.