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(a) Explain the processes of nuclear fission and nuclear fusio

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Solving time: 2 mins

(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number $A$ .

(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to $3.125%$ ?

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Exam:

Class 12th Board 2018

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Emily Discussed

(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number

A

.

(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to

3.125%

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

(a) The plot of (B.E / nucleon) versus mass number is as shown.
Solution Image

From the plot we note that
i) During nuclear fission
A heavy nucleus in the larger mass region

(A > 200)

breaks into two middle-level nuclei, resulting in an increase in B.E/ nucleon. This results in a release of energy.
ii) During nuclear fusion
Light nuclei in the lower mass region

(A < 20)

fuse to form a nucleus having higher B.E / nucleon. Hence Energy gets released.
[Alternatively: As per the plot: During nuclear fission as well as nuclear fusion, the final value of B.E/ nucleon is more than its initial value. Hence energy gets released in both these processes. ]
(b)

We

have

3.125% = \frac{3.125}{100} = \frac{1}{32} = \frac{1}{2 ^{5}}

Half life = 10 years

∴ Required time = 5 \times 10 years

= 50 Years

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Question Text	(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number $A$ . (b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to $3.125%$ ?
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	57

(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number $A$ .

(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to $3.125%$ ?

Text solutionVerified

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(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A.(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125% ?

Text solutionVerified

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(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number $A$ .

(b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to $3.125%$ ?