Question

How would the value of ‘g’ change if the earth were to shrink slightly without any change of mass?

• A. Increases
• B. Decreases
• C. Remains constant
• D. None of these

Answer 1

The correct option is A Increases

We know that, $g=\frac{GM}{R^2}$
Where, G is the gravitational constant, M is the mass of the earth and R is the radius of the earth.
Now, if the earth is shrunk without any change in mass, the radius will be decreased.
Since, $g\propto \frac{1}{R^2}$
g is inversely proportional to R.
So, the value of 'g' will increase.