Question

The binding energy of deuteron $$\left( {_1^2H} \right)$$  is $$1.15\ MeV$$  per nucleon and an alpha particle $$\left( {_2^4He} \right)$$  has a binding energy of $$7.1\,MeV$$  per nucleon. Then in the reaction
$$_1^2H + _1^2H \to _2^2He + Q$$
the energy released $$Q$$ is :

A. $$5.95\,MeV$$
B. $$26.1\,MeV$$
C. $$23.8\,MeV$$  
D. $$289.4\,MeV$$
Answer :   $$23.8\,MeV$$
Solution :
Given, $$_1{H^2}{ + _1}{H^2}{ \to _2}{H^4} + Q$$
The total binding energy of the deutrons $$ = 4 \times 1.15 = 4.60\,MeV$$
The total binding energy of alpha particle $$ = 4 \times 7.1 = 28.4\,MeV$$
The energy released in the process $$ = 28.4 - 4.60 = 23.8\,MeV.$$

Releted MCQ Question on
Modern Physics >> Radioactivity

Releted Question 1

An alpha particle of energy $$5\,MeV$$  is scattered through $${180^ \circ }$$ by a fixed uranium nucleus. The distance of closest approach is of the order of

A. $$1\, \mathop {\text{A}}\limits^ \circ $$
B. $${10^{ - 10}}cm$$
C. $${10^{ - 12}}cm$$
D. $${10^{ - 15}}cm$$
Releted Question 2

Beta rays emitted by a radioactive material are

A. electromagnetic radiations
B. the electrons orbiting around the nucleus
C. charged particles emitted by the nucleus
D. neutral particles
Releted Question 3

Consider $$\alpha $$ particles, $$\beta $$ particles and $$\gamma $$ - rays, each having an energy of $$0.5\,MeV.$$  In increasing order of penetrating powers, the radiations are:

A. $$\alpha ,\beta ,\gamma $$
B. $$\alpha ,\gamma ,\beta $$
C. $$\beta ,\gamma ,\alpha $$
D. $$\gamma ,\beta ,\alpha $$
Releted Question 4

A radioactive material decays by simultaneous emission of two particles with respective half-lives 1620 and 810 years. The time, in years, after which one-fourth of the material remains is

A. 1080
B. 2430
C. 3240
D. 4860

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Radioactivity


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