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  •  In an a-decay the Kinetic energy of a particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is:- (Assume that daughter nucleus is in ground state)</p

 In an a-decay the Kinetic energy of a particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is:- (Assume that daughter nucleus is in ground state)

Option: 1

100


Option: 2

96


Option: 3

104


Option: 4

200


Answers (1)

best_answer

for

α -decay -

^{A}_{Z}X\rightarrow ^{A-4}_{Z-2}Y+^{4}_{2}He+Q

 

- wherein

Q\: value = \left ( M_{X} -M_{Y}-M_{He}\right )c^{2}

 

 

we have 

k_{ \alpha } = \frac{m _{\gamma }}{m _{\gamma }+m _{\alpha }} Q \\\\ K_ {\alpha } = \frac{A - 4 }{A } Q \\\\ 48 = \frac{A - 4 }{A } 50 \\\\ A = 100

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