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Q.

Assume gravitational potential energy ‘U’ at ground level to be zero. All objects are made up of same material.
$U_{P} =$ Gravitational potential energy of solid sphere
$U_{Q} =$ Gravitational potential energy of solid cube
$U_{S} =$ Gravitational potential energy of solid cylinder

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a

$U_{Q} > U_{S} > U_{P}$

b

$U_{S} > U_{Q} > U_{P}$

c

$U_{P} > U_{Q} > U_{S}$

d

$U_{Q} > U_{P} > U_{S}$

answer is A.

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Detailed Solution

$U_{P} = \frac{4}{3} π {(\frac{D}{2})}^{3} ρ g \times \frac{D}{2} = \frac{π D^{4} g ρ}{12}$

$U_{Q} = D^{3} ρ g \times \frac{D}{2} = \frac{D^{4} ρ g}{2}$

$U_{S} = π {(\frac{D}{2})}^{2} D ρ g \frac{D}{2} = \frac{π D^{4} ρ g}{8}$

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