SATHEE: Atoms And Nuclei Question 331

Atoms And Nuclei Question 331

Question: The nuclear radius of a nucleus with nucleon number 16 is $3 \times 10^{- 15} m$ . Then, the nuclear radius of a nucleus with nucleon number 128 is

Options:

A) $3 \times 10^{- 15} m$

B) $1.5 \times 10^{- 15} m$

C) $6 \times 10^{- 15} m$

D) $4.5 \times 10^{- 15} m$

Show Answer

Answer:

Correct Answer: C

Solution:

Radius R os a nucleus changes with the nucleon number A of the nucleus as
$R = 1.3 \times 10^{- 15} \times A^{1 / 3} m$

Hence, $\frac{R_{2}}{R_{1}} = {(\frac{A_{2}}{A_{1}})}^{1 / 3} = {(\frac{128}{16})}^{1 / 3} = {(8)}^{1 / 3} = 2$
$∴ R_{2} = 2 R_{1} = 2 (3 \times 10^{- 15}) m = 6 \times 10^{- 15} m$

Atoms And Nuclei Question 331

Question: The nuclear radius of a nucleus with nucleon number 16 is $3 \times 10^{- 15} m$ . Then, the nuclear radius of a nucleus with nucleon number 128 is

Options:

Answer:

Solution:

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Atoms And Nuclei Question 331

Question: The nuclear radius of a nucleus with nucleon number 16 is 3×10−15m . Then, the nuclear radius of a nucleus with nucleon number 128 is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: The nuclear radius of a nucleus with nucleon number 16 is $3 \times 10^{- 15} m$ . Then, the nuclear radius of a nucleus with nucleon number 128 is