First slide

Gravitational field intensity

Question

If the mass of a planet is 10% less than that of the earth and the radius is 20% greater than that of the earth, the acceleration due to gravity on the planet will be

Moderate

A

5/8 times that on the surface of the earth
B

3/4 times that on the surface of the earth
C

1/2 times that on the surface of the earth
D

9/10 times that on the surface of the earth

Solution

$g_{p} = \frac{G [M - \frac{10}{100} M]}{{[R + \frac{20}{100} R]}^{2}} = \frac{G \times 9 M}{10} \times \frac{25}{36 R^{2}} = \frac{5}{8} g$

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