A particle is released from height \( \mathrm{S} \) from the surfac...

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A particle is released from height \( \mathrm{S} \) from the surface of the Earth. At a certain height its kinetic energy is three times its
P potential energy. The height from the surface of earth and the

W speed of the particle at that instant are respectively:
\( (2021) \)
(a) \( \frac{\mathrm{S}}{4}, \frac{\sqrt{3 \mathrm{gS}}}{2} \)
(b) \( \frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2} \)
(c) \( \frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}} \)
(d) \( \frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2} \)
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