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Gravitation — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsGravitation1 Mark
MCQ
If both the mass and the radius of the earth decrease by $1 \%$, the value of the acceleration due to gravity will
  • A
    Decrease by $1 \%$
  • ✓
    Increase by $1 \%$
  • C
    Increase by $2 \%$
  • D
    Remain unchanged
✓

Answer

Correct option: B.
Increase by $1 \%$
(b) As $g=\frac{G M}{R^2}$ 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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