The value of the average density of a nucleus is $\qquad$ times that of water.

The charge density $P$ in a nucleus varies with distance $r$ from the centre of the nucleus according to the curve in the figure. Which of the following graphs correctly represents this variation?

According to the quark model,it is possible to build all the hadrons using

Which of the following figures represents the variation of $\ln \left(\frac{R}{R_{0}}\right)$ with $\ln A$ (where $R =$ radius of a nucleus and $A =$ its mass number)?

Read the following statements:
$(A)$ Volume of the nucleus is directly proportional to the mass number.
$(B)$ Volume of the nucleus is independent of mass number.
$(C)$ Density of the nucleus is directly proportional to the mass number.
$(D)$ Density of the nucleus is directly proportional to the cube root of the mass number.
$(E)$ Density of the nucleus is independent of the mass number.
Choose the correct option from the following options.

$A$ heavy nucleus at rest breaks into two fragments which fly off with velocities in the ratio $8 : 1$. Find the ratio of the radii of the fragments.