\( A B \) is a quarter of a smooth horizontal circular track of radius R. A particle \( \mathrm{...
0\( A B \) is a quarter of a smooth horizontal circular track of radius
R. A particle \( \mathrm{P} \) of mass \( \mathrm{m} \) moves along the track from \( \mathrm{A} \) to
\( \mathrm{B} \) under the action of following forces:
\( \vec{F}_{1}=F \) (always towards \( y \)-axis)
\( \vec{F}_{2}=F \) (always towards point \( B \) )
\( \vec{F}_{3}=F \) (always along the tangent to path \( A B \) )
\( \vec{F}_{4}=F \) (always towards \( x \)-axis)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline A. & Work done by \( \vec{F}_{1} \) & p. & \( \sqrt{2} \mathrm{FR} \) \\
\hline B. & Work done by \( \vec{F}_{2} \) & q. & \( \frac{1}{\sqrt{2}} \mathrm{FR} \) \\
\hline C. & Work done by \( \vec{F}_{3} \) & r. & FR \\
\hline D. & Work done by \( \vec{F}_{4} \) & s. & \( \frac{\pi \mathrm{FR}}{2} \) \\
\hline & & T. & \( \frac{\pi \mathrm{FR}}{2} \) \\
\hline
\end{tabular}
(a) \( \mathrm{A}-(\mathrm{q}) ; \mathrm{B}-(\mathrm{r}) ; \mathrm{C}-(\mathrm{q}) ; \mathrm{D}-(\mathrm{r}) \)
(b) \( \mathrm{A}-(\mathrm{p}) ; \mathrm{B}-(\mathrm{q}) ; \mathrm{C}-(\mathrm{r}) ; \mathrm{D}-(\mathrm{p}) \)
(c) \( \mathrm{A}-(\mathrm{r}) ; \mathrm{B}-(\mathrm{p}) ; \mathrm{C}-(\mathrm{s}) ; \mathrm{D}-(\mathrm{r}) \)
(d) \( \mathrm{A}-(\mathrm{q}) ; \mathrm{B}-(\mathrm{r}) ; \mathrm{C}-(\mathrm{p}) ; \mathrm{D}-(\mathrm{r}) \)
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