Maximum acceleration of the system $\left(a_{\max }\right)=-\omega^2 A$
For a block to escape the board the acceleration must be equal to 9 at the top-most point.
$g=\omega^2 A$
$\omega=\sqrt{\frac{g}{A}}$
Time period $=\frac{2 \pi}{\omega}=\sqrt{\frac{A}{g}}$
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| List $I$ (Physical Quantity) | List $II$ (Dimensional Formula) |
| $(A)$ Pressure gradient | $(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$ |
| $(B)$ Energy density | $(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$ |
| $(C)$ Electric Field | $(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$ |
| $(D)$ Latent heat | $(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$ |
Choose the correct answer from the options given below:
$\text{2C}\ \text{and}\ \text{2V}$
$\frac{\text{C}}{2}\ \text{and}\ \frac{\text{V}}{2}$
$\text{2C}\ \text{and}\ \frac{\text{V}}{2}$
$\frac{\text{C}}{2}\ \text{and}\ \text{2V}$
$\frac{\text{W}}{2}$
$2^{\frac{1}{3}}$ W at the planet.