Gravitation 1 Question 3
6. If the radius of the earth were to shrink by one per cent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would
(1981, 2M)
(a) decrease
(b) remain unchanged
(c) increase
(d) be zero
Show Answer
Answer:
Correct Answer: 6. (c)
Solution:
- $g=\frac{G M}{R^{2}}$ or $g \propto \frac{1}{R^{2}}$
$g$ will increase if $R$ decreases.