If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration of the surface of that planet is |
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a) |
b) |
c) |
d) |
If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration of the surface of that planet is |
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a) |
b) |
c) |
d) |
(a)
Let be the radius of earth and its density, then since shape of earth is assumed spherical
we have
The acceleration due to gravity which arises in the body due to gravitational force of attraction is given by
Putting the value of from Eq.(i), we get