Question

When the volume of a planet is reduced 8 times by compressing the planet then the value of 'g' on its surface:
a. decreases 4 times
b. increases 4 times
c. decreases 8 times
d. increases 8 times

Answer 1

Explanation:

The formula for the acceleration due to gravity (g) is given as g=

R

2

GM

Where G is universal gravitational constant and M is mass of the earth with R as the radius of the earth.

Now replacing R by R/2 in the equation-1

we get the new value of g as g

new

=

R

2

/4

GM

=4

R

2

$4 gm \r square 2$

hope it helps you