0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# (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%?

Solution
Verified by Toppr

#### A. The value of binding energy per nucleon gives a measure of the stability of that nucleus greater is the binding energy per nucleon of a nucleus , more stable is the nucleus.The above graph shown, binding energy per nucleon drawn against mass number A.The saturation effect of nuclear forces is the property responsible for the approximate constancy of binding energy in range 30<A<17030<A<170It is clear from the curve that binding energy per nucleon of the fused nucle is more than there of the light nuclei taking part nuclear fusion .Hence energy gets released in the process.In a nuclear fission , the sum of the masses of the final products is less than the sum of the masses of the reactant componentB. N=Noe−λtBut N=No32No32=Noe−λt2−5=e−λt5 ln2 = \lambda t\$but given half life so λ=ln210so t = 50 Years

13
Similar Questions
Q1
(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%?
View Solution
Q2
A radioactive isotope has a half-life of T years. How long will it take the activity to reduce to (a) 3.125% (b) 1% of its original value?
View Solution
Q3
A radioactive isotope has a half-life of 2 years. How long will it approximately take the activity to reduce to 3% of its initial value?
View Solution
Q4

(a) Draw the plot of binding energy per nucleon (BE/A) as a function of mass number. Write two important conclusions that can be drawn regarding the nature of nuclear source.
(b) Use this graph to explain the release of energy in both the processes of nuclear fusion and fission.
(c) Write the basic nuclear process of neutron undergoing β -decay. Why is the detection of neutrinos found very difficult?

View Solution
Q5
Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below:

View Solution