Choose the correct answer from the options given below:
- ✓$(A)-(II), (B)-(IV), (C)-(III), (D)-(I)$
- B$(A)-( I), (B)-(II), (C)-(III), (D)-(IV)$
- C$(A)-( II), (B)-(III), (C)-(IV), (D)-(I)$
- D$(A)-(I), (B)-(III), (C)-(IV), (D)-(II)$
Choose the correct answer from the options given below:
$\text { (A - II) }$
$\frac{d x}{d t} < 0 \text {; and at } t \rightarrow \infty \frac{ dx }{ dt } \rightarrow 0$
$( B - IV )$
$\frac{ dx }{ dt } > 0 \text { for first half } \frac{ dx }{ dt } < 0 \text { for second half. }$
$\text { (C - III) }$
$\frac{ dx }{ dt }=\text { constant }$
$\text { (D - I) }$
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$(i)$ acceleration of the centre of mass of ring is $\frac{g}{3}$
$(ii)$ acceleration of the hanging particle is $\frac{2g}{3}$
$(iii)$ frictional force (on the ring) acts along forward direction
$(iv)$ frictional force (on the ring) acts along backward direction
$(a)$ The moment of inertia of cube about $z-$ axis is $I_z$ = $I_x + I_y$
$(b)$ The moment of inertia of cube about $A-$ axis is $I_A$=${I_z} + \frac{{m{a^2}}}{2}$
$(c)$ The moment of inertia of cube about $B-$ axis is $I_B$=${I_z} + \frac{{m{a^2}}}{2}$
$(d)$ $I_x$ = $I_z$
$A$: standing on the horizontal surface
$B$: standing on the block
To an observer $B$, when the block is compressing the spring
| LIST$-I$ | LIST$-II$ |
| $(A)$ Torque | $(I)$ $ML ^{-2} T ^{-2}$ |
| $(B)$ Stress | $(II)$ $ML ^2 T ^{-2}$ |
| $(C)$ Pressure of gradient | $(III)$ $ML ^{-1} T ^{-1}$ |
| $(D)$ Coefficient of viscosity | $(IV)$ $ML ^{-1} T ^{-2}$ |
Choose the correct answer from the options given below