$A$ nucleus disintegrates into two smaller parts,which have their velocities in the ratio $3: 2$. The ratio of their nuclear sizes will be $\left(\frac{x}{3}\right)^{\frac{1}{3}}$. The value of '$x$' is:

If the size of a nucleus (in the range of $10^{-15} \; m$ to $10^{-14} \; m$) is scaled up to the tip of a sharp pin,what roughly is the size of an atom (in $; m$)? Assume the tip of the pin to be in the range $10^{-5} \; m$ to $10^{-4} \; m$.

The graph of $\ln \left(\frac{R}{R_0}\right)$ versus $\ln A$ is,where $R$ is the radius of a nucleus,$A$ is its mass number,and $R_0$ is a constant.

$A$ nucleus has mass number $\alpha$ and radius $R_{\alpha}$. Another nucleus has mass number $\beta$ and radius $R_{\beta}$. If $\beta = 8\alpha$, then $R_{\alpha}/R_{\beta}$ is:

The ratio of mass densities of nuclei of $^{40}Ca$ and $^{16}O$ is close to

On the bombardment of a neutron with Boron,an $\alpha$-particle is emitted. The product nucleus formed is: