Nuclear Physics | Physics JEE previous year questions with Solutions

Q 1 :
From the statements given below:

(A) The angular momentum of an electron in $n$ th orbit is an integral multiple of $h$ .

(B) Nuclear forces do not obey inverse square law.

(C) Nuclear forces are spin dependent.

(D) Nuclear forces are central and charge independent.

(E) Stability of nucleus is inversely proportional to the value of packing fraction.

Choose the correct answer from the options given below: [2024]

(A), (B), (C), (D) only
(A), (C), (D), (E) only
(A), (B), (C), (E) only
(B), (C), (D), (E) only

1

2

3

4

(C)

Q 2 :
The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is [2024]

24
32
40
20

1

2

3

4

(A) $R_{1} = \frac{R_{2}}{2}$

$R_{0} {(A_{1})}^{1 / 3} = \frac{R_{0}}{2} {(A_{2})}^{1 / 3}$

$A_{1} = \frac{1}{8} A_{2}$

$A_{1} = \frac{192}{8} = 24$

Q 3 :
A nucleus has mass number $A_{1}$ and volume $V_{1}$ . Another nucleus has mass number $A_{2}$ and volume $V_{2}$ . If relation between mass number is $A_{2} = 4 A_{1}$ , then $V_{2} / V_{1} =$ ___________ . [2024]

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(4) For a nucleus

Volume: $V = \frac{4}{3} π R^{3}$

$R = R_{0} {(A)}^{1 / 3}$

$V = \frac{4}{3} π R_{0}^{3} A \Rightarrow \frac{V_{2}}{V_{1}} = \frac{A_{2}}{A_{1}} = 4$

Q 4 :
The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is $\frac{1000}{x},$ where $x$ is ______ . [2024]

0%

(27) $R = R_{0} A^{1 / 3}$

$4.8 = R_{0} {(64)}^{1 / 3}$

$4.8 = R_{0} 4$ ...(i)

$4 = R_{0} {(A)}^{1 / 3}$ ...(ii)

$(i) divided by (i i), 1.2 = \frac{4}{{(A)}^{1 / 3}}$

$A = \frac{64}{1.728} = \frac{1000}{x}$

$x = \frac{1728}{64} = 27$

Topic Question Set

Q 2 :
The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is [2024]

Q 3 :
A nucleus has mass number $A_{1}$ and volume $V_{1}$ . Another nucleus has mass number $A_{2}$ and volume $V_{2}$ . If relation between mass number is $A_{2} = 4 A_{1}$ , then $V_{2} / V_{1} =$ ___________ . [2024]

0%

Q 4 :
The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is $\frac{1000}{x},$ where $x$ is ______ . [2024]

0%

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Topic Question Set

Q 2 : The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is [2024]

Q 3 : A nucleus has mass number A1 and volume V1. Another nucleus has mass number A2 and volume V2. If relation between mass number is A2=4A1, then V2/V1= ___________ . [2024]

0%

Q 4 : The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is 1000x, where x is ______ . [2024]

0%

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Q 2 :
The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is [2024]

Q 3 :
A nucleus has mass number $A_{1}$ and volume $V_{1}$ . Another nucleus has mass number $A_{2}$ and volume $V_{2}$ . If relation between mass number is $A_{2} = 4 A_{1}$ , then $V_{2} / V_{1} =$ ___________ . [2024]

Q 4 :
The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is $\frac{1000}{x},$ where $x$ is ______ . [2024]