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A bob of mass \( 2 \mathrm{~kg} \) is suspended from point \( O \) of a cone with an inextensible string of length \( \sqrt{3} \mathrm{~m} \). It is moving in horizontal circle over the surface of cone as shown in the figure. Then \( \left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \)
(1) normal force on bob is \( 19 \mathrm{~N} \) when \( v=2 \mathrm{~m} / \mathrm{s} \)
(2) tension in string is \( \frac{38}{\sqrt{3}} \mathrm{~N} \) when \( v=2 \mathrm{~m} / \mathrm{s} \)
(3) normal force on bob is \( \frac{17}{\sqrt{3}} \mathrm{~N} \) when \( v=2 \mathrm{~m} / \mathrm{s} \)
(4) bob looses contact with cone if \( v\sqrt{5} \mathrm{~m} / \mathrm{s} \)
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