Radius of nucleus is R=R0A31, where, R0=1.2×10−15m and A is mass number of nucleus.
Thus, R∝A31
Volume of nucleus is V=34πR3⇒V∝R3⇒V∝A.
Now, the density of nucleus is given by ρ=VM=34πR03AmA=34πR03m
Thus, density is independent of A.
Hence, only (A) and (E) are correct.