JEE Main 2022PhysicsAtomic PhysicsMediumMCQ

JEE Main 2022 — Atomic Physics Question with Solution

JEE Main 2022 (29 Jul Shift 2)

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.

Choose an option

Show full solutionCorrect option: B
Correct answer
B(A) and (E) only.

Step-by-step explanation

Radius of nucleus is R=R0A13, where, R0=1.2×10-15 m and A is mass number of nucleus.

Thus, R∝A13

Volume of nucleus is V=43πR3⇒V∝R3⇒V∝A.

Now, the density of nucleus is given by ρ=MV=mA43πR03A=m43πR03

Thus, density is independent of A.

Hence, only A and E are correct.

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About this question

This is a previous-year question from JEE Main 2022, covering the Atomic Physics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.