Question

17.
A planet reduces its radius by 1% with
mass remaining Dame How acceleration
due to
gravity varies,​

Answer 1

Answer:

Let the mass and radius of Earth be M and R respectively. Acceleration due to gravity

g=

R

2

GM

Now Radius

R

′

=R−

100

R

=0.99R

So acceleration due to gravity

g

′

=

(0.99)

2

GM

or g

′

=1.02

R

2

GM

Now change in acceleration due to gravity

=g

′

−g

=(1.02−1)

R

2

GM

=(0.02)

R

2

GM

Thus acceleration due to gravity increased by 2%

∴ So (a) option is correct answer.