Game:

Vector (2012)

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Position vector (with respect to centre) velocity vector and acceleration vector of a particle in circular motion are \( \vec{r}=(3 \hat{i}-4 \hat{j}) \mathrm{m}, \vec{v}=(4 \hat{i}+3 \hat{j}) \mathrm{ms}^{-1} \) and \( \vec{a}=(-6 \hat{i}+b \hat{j}) m s^{-2} \). Speed of particle is constant.
Match the following two columns.
\begin{tabular}{|l|l|l|c|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II (SI units) } \\
\hline (a) & Value of angular velocity & (p) & 1 \\
\hline (b) & Value of \( b \) & (q) & 8 \\
\hline (c) & Radius of circle & (r) & 5 \\
\hline (d) & \( \vec{r} .(\vec{v} \times \vec{a}) \) & (s) & None \\
\hline
\end{tabular}
(1) (a) \( \rightarrow \) (q) (b) \( \rightarrow \) (r) (c) \( \rightarrow \) (s) (d) \( \rightarrow \) (p)
(2) (a) \( \rightarrow \) (p) (b) \( \rightarrow \) (q) (c) \( \rightarrow \) (r) (d) \( \rightarrow \) (s)
(3) (a) \( \rightarrow \) (s) (b) \( \rightarrow \) (r) (c) \( \rightarrow \) (p) (d) \( \rightarrow \) (q)
(4) (a) \( \rightarrow \) (q) (b) \( \rightarrow \) (p) (c) \( \rightarrow \) (r) (d) \( \rightarrow \) (s)


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