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A particle tied at one end of an inextensible string of length \( R \), whose another end is fixed. Particle is performing
\( \mathrm{P} \) circular motion in vertical plane. Ratio of maximum to minimum speed is \( \lambda \). Choose the correct option(s).
(1) Speed at the top most point is \( \sqrt{\left(\frac{4 \lambda^{2}}{\lambda^{2}-1}\right) g R} \)
(2) Speed at the top most point is \( \sqrt{\left(\frac{4}{\lambda^{2}-1}\right) g R} \)
(3) Ratio of maximum to minimum tension is \( \left(\frac{5 \lambda^{2}-1}{5-\lambda^{2}}\right) \)
(4) Ratio of tension in string to weight when string is horizontal is \( 2\left(\frac{\lambda^{2}-1}{\lambda^{2}+1}\right) \)
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