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| List$-I$ | List$-II$ |
| $(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
| $(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
| $(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
| $(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
Choose the correct answer from the options given below:
$STATEMENT-2$ If the observer and the object are moving at velocities $\vec{V}_1$ and $\vec{V}_2$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $\overrightarrow{\mathrm{V}}_2-\overrightarrow{\mathrm{V}}_1$.
If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$.
Statement $-1$: If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$
Statement $-2$ : $k_1 < k_2$.
$(i){\vec V_C} - {\vec V_A} = 2\left( {{{\vec V}_B} - {{\vec V}_C}} \right)$
$(ii){\vec V_C} - {\vec V_B} = {\vec V_B} - {\vec V_A}$
$(iii)\left| {{{\vec V}_C} - {{\vec V}_A}} \right| = 2\left| {{{\vec V}_B} - {{\vec V}_C}} \right|$
$(iv)\left| {{{\vec V}_C} - {{\vec V}_A}} \right| = 4\left| {{{\vec V}_B}} \right|$