A particle is projected with velocity u horizontally from the top of a fixed smooth \( \mathrm{P...

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A particle is projected with velocity u horizontally from the top of a fixed smooth
\( \mathrm{P} \) sphere of radius \( a \) so that it slides down the

W outside of the sphere. If the particle leaves the sphere when it has fallen a vertical distance \( -\left(\frac{\mathrm{a}}{4}\right) \), the value of \( u \) is
- (1) \( \sqrt{\mathrm{ag}} \)
(2) \( \sqrt{2 \mathrm{ag}} \)
(3) \( \frac{\sqrt{a g}}{2} \)
(4) \( \frac{3 \sqrt{\mathrm{ag}}}{2} \)
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