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${\vec{V}}_{R}, {\vec{V}}_{w}, {\vec{V}}_{M}$ are the velocities of rain, wind and man are given in List-I , ${\vec{V}}_{R M}$ in List-II.
List- I List – II
A) ${\vec{V}}_{R W} = - 5 \hat{j}, {\vec{V}}_{W} = 5 \hat{i}, {\vec{V}}_{M} = 5 \hat{i}$ P) ${\vec{V}}_{R M} = - 10 \hat{j}$
B) ${\vec{V}}_{R W} = - 5 \hat{j}, {\vec{V}}_{W} = 5 \hat{i} + 5 \hat{j}, {\vec{V}}_{M} = 5 \hat{i} + 5 \hat{j}$ Q) ${\vec{V}}_{R M} = 10 \hat{j}$
C) ${\vec{V}}_{R W} = - 5 \hat{j}, {\vec{V}}_{W} = 5 \hat{i} - 5 \hat{j}, {\vec{V}}_{M} = 5 \hat{i}$ R) ${\vec{V}}_{R M} = - 5 \hat{j}$
D) ${\vec{V}}_{R W} = 5 \hat{j}, {\vec{V}}_{W} = 5 \hat{i} + 5 \hat{j}, {\vec{V}}_{M} = 5 \hat{i}$ S) ${\vec{V}}_{R M} = - 10 \hat{i} + 10 \hat{j}$
T) ${\vec{V}}_{R M} = 10 \hat{i} - 10 \hat{j}$
Then the correct match of the lists is

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A – T, B – R, C – S, D – Q

A – R, B – S, C – P, D – T

A – R, B – R, C – P, D – Q

A – S, B – T, C – P, D – Q

answer is C.

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Detailed Solution

${\vec{V}}_{R M} = {\vec{V}}_{R W} + {\vec{V}}_{W} - {\vec{V}}_{M}$

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