Question

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. (A) and (D) only
• B. (A) and (E) only
• C. (B) and (E) only
• D. (A) and (C) only

Answer 1

Answer: (B)

(A) and (E) only

Answer 2

$R=R0A^{\frac{1}{3}}$
$⇒V=\frac{4}{3}πR^3=\frac{4}{3}πR_0^3A$
$⇒ρ=\frac{M}{V}∝\frac{A}{A}∝A^0$
So, the correct option is (B): (A) and (E) only.