13. oscillations — Physics STD 11 Science — Question

$1.$ If the total energy of the particle is $E$, it will perform periodic motion only if

$(A)$ $E$ $<0$ $(B)$ $E$ $>0$ $(C)$ $\mathrm{V}_0 > \mathrm{E}>0$ $(D)$ $E > V_0$

$2.$ For periodic motion of small amplitude $\mathrm{A}$, the time period $\mathrm{T}$ of this particle is proportional to

$(A)$ $\mathrm{A} \sqrt{\frac{\mathrm{m}}{\alpha}}$ $(B)$ $\frac{1}{\mathrm{~A}} \sqrt{\frac{\mathrm{m}}{\alpha}}$ $(C)$ $\mathrm{A} \sqrt{\frac{\alpha}{\mathrm{m}}}$ $(D)$ $\mathrm{A} \sqrt{\frac{\alpha}{\mathrm{m}}}$

$3.$ The acceleration of this particle for $|\mathrm{x}|>\mathrm{X}_0$ is

$(A)$ proportional to $\mathrm{V}_0$

$(B)$ proportional to $\frac{\mathrm{V}_0}{\mathrm{mX}_0}$

$(C)$ proportional to $\sqrt{\frac{\mathrm{V}_0}{\mathrm{mX}_0}}$

$(D)$ zero

Give the answer qustion $1,2$ and $3.$