Volume the directly proportional |NUCLEARPHYSICJEEMain2022

JEE MAIN 2022

29-09-2022 S2

Question

Read the following statements :
(A) Volume of the nucleus is directly proportional to the mass number.
(B) volume o 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.

Select the correct option:

(A) and (D) only

(A) and (E) only

(B) and (E) only

(A) and (C) only

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$$ \begin{aligned} & \mathrm{R} \propto \mathrm{~A}^{1 / 3} \\ & \mathrm{~V}=\frac{4}{3} \pi \mathrm{R}^3 \propto \mathrm{~A} \end{aligned} $$ Mass $\propto A$ So density is independent of $A$.

Question Tags

JEE Main

Physics

Easy

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