Question

If the earth shrinks half of its radius, its mass remaining the same , the weight of an object on earth will change times ?

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is C 4

We know that

$g$ $\alpha$ $\frac{1}{r^2}$ [$\because$ mass is unchanged ]

Now, if the radius is halved then g will become 4 times

This means that the weight of the body will also become 4 times as weight is the product of mass and acceleration due to gravity.

Hence correct answer is option $C$