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NEET

Exam: NEET
Subject: Physics
Chapter: Nuclear Physics

NEET · Physics · Nuclear Physics

Consider the following two statements, A and B and identify the...

Consider the following two statements,

A

and

B

and identify the correct answer given below: A. Nuclear density is same for all nuclei B. Radius of the nucleus

R

and its mass number

A

are related as

\sqrt{A} \propto R^{1 / 6}

.

Options

ABoth $\mathrm{A}$ and $\mathrm{B}$ are true
BBoth $\mathrm{A}$ and $\mathrm{B}$ are false
C $\mathrm{A}$ is true but $\mathrm{B}$ is false
D $\mathrm{A}$ is false but $\mathrm{B}$ is true

Correct answer

C. $\mathrm{A}$ is true but $\mathrm{B}$ is false

Step-by-step solution

Nuclear density for all nuclei is same and equal to

10^{17} \mathrm{ kg} / \mathrm{m}^3 Radius of nucleus and mass number are related as

R=R_0(A)^{1 / 3}

\text{ or }

R \propto(A)^{1 / 3}

Thus, (A) is true and (B) is false.

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