\( A C B \) is a smooth quarter circular path of radius \( R \). Four forces are acting at a par....
0\( A C B \) is a smooth quarter circular path of radius \( R \). Four forces are acting at a particle placed at \( A . F_{1} \) is always horizontal, \( F_{2} \) is always vertical, \( F_{3} \) is always tangential to path, \( F_{4} \) is always directed from particle's position to point \( B \). Magnitude of all forces are equal to \( F \).
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & Work done by \( F_{1} \) is & (p) & \( F . R \) \\
\hline (B) & Work done by \( F_{2} \) is & (q) & \( F . R \sqrt{2} \) \\
\hline (C) & Work done by \( F_{3} \) is & (r) & \( \frac{\pi F . R}{2} \) \\
\hline (D) & Work done by \( F_{4} \) is & (s) & \( \frac{F . R}{\sqrt{2}} \) \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{p} ; \mathrm{B} \rightarrow \mathrm{p} ; \mathrm{C} \rightarrow \mathrm{r} ; \mathrm{D} \rightarrow \mathrm{q} \)
(2) \( \mathrm{A} \rightarrow \mathrm{r} ; \mathrm{B} \rightarrow \mathrm{s} ; \mathrm{C} \rightarrow \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{r} \)
(3) \( \mathrm{A} \rightarrow \mathrm{s} ; \mathrm{B} \rightarrow \mathrm{p} ; \mathrm{C} \rightarrow \mathrm{q}, \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{r} \)
(4) None of these
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