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Two planets have radii r(1) and 2r(1) an...

Two planets have radii `r_(1) and 2r_(1)` and densities are `rho_(1) and 4rho_(1)` respectively. The ratio of their acceleration due to gravities is

A

`1:8`

B

`8:1`

C

`4:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
a
`(g_(1))/(g_(2))=(rho_(1))/(rho_(2))xx(R_(1))/(R_(2))`
`=(1)/(4)xx(1)/(2)=(1)/(8)`
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