If it is safe to jump from a height of $3 m$ on the earth, then what would be the safe height of drop on a planet where the value of ' $g$ ' is $1.96 m s^{- 2}$ ?

2 m

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4 m

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6 m

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15 m

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Solution

The correct option is C $15 m$
Potential energy of the body on earth is given by = $m g h$ and on that planet will be $m g^{'} h^{'}$
$∴ m g h = m g^{'} h^{'} => h^{'} = \frac{g}{g^{'}} h = \frac{9.8}{1.96} \times 3 = 15 m$

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