MCQ
If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.
  • A
    $1$
  • B
    $2$
  • $3$
  • D
    $4$

Answer

Correct option: C.
$3$
c
(c) $g \propto \frac{1}{{{R^2}}}$

Percentage change in $g = 2$(percentage change in $R$) $ = 2 \times 1.5 = - 3\% $

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