MCQ
If both the mass and the radius of the earth decrease by $1\%$, the value of the acceleration due to gravity will
- ADecrease by $1\%$
- ✓Increase by $1\%$
- CIncrease by $2\%$
- DRemain unchanged
✓
Answer
Correct option: B.
Increase by $1\%$
b
(b) As $g = \frac{{GM}}{{{R^2}}}$ therefore $1\%$ decrease in mass will decreases the value of $g$ by $1\%.$
(b) As $g = \frac{{GM}}{{{R^2}}}$ therefore $1\%$ decrease in mass will decreases the value of $g$ by $1\%.$
But $1\%$ decrease in radius will increase the value of $g$ by $2\%.$
As a whole value of $g$ increase by $1\%.$
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