Gravitation Question 109
Question: If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface would [IIT 1981; CPMT 1981; MP PMT 1996, 97;Roorkee 1992; MP PET 1999; Kerala PMT 2004]
Options:
A) Decrease by 2%
B) Remain unchanged
C) Increase by 2%
D) Increase by 1%
Show Answer
Answer:
Correct Answer: C
Solution:
$ [g=\frac{GM}{R^{2}}.] $ If mass remains constant then $ [g\propto \frac{1}{R^{2}}] $ % increase in g = 2(% decrease in R) =2 × 1% = 2%.
