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  • Consider two arbitrary decay equations and mark the correct alternative(s) given below. <img alt="(i) \, { }\, \, _{92}^{230} \mathrm{U} \rightarrow n+{ }_{92}^{229} \mathrm{U}" src="/lat

Consider two arbitrary decay equations and mark the correct alternative(s) given below.

(i) \, { }\, \, _{92}^{230} \mathrm{U} \rightarrow n+{ }_{92}^{229} \mathrm{U}                                (ii) \, \, { }_{92}^{230} \mathrm{U} \rightarrow p+{ }_{91}^{229} \mathrm{~Pa}

Given       \mathrm{M}\left({ }_{92}^{230} \mathrm{U}\right)=230.033927 \mathrm{u}

                 \mathrm{M}\left({ }_{92}^{229} \mathrm{U}\right)=229.03349 \mathrm{u}

                  m_n=1.008665 \mathrm{u}

                  m_p=1.007825

              1\, \mathrm{amu}=931.5 \, \mathrm{MeV}

Option: 1

Only decay (i) is possible


Option: 2

Only decay (ii) is possible


Option: 3

Both the decays are possible


Option: 4

Neither of the two decays is possible.


Answers (1)

best_answer

For decay (i)

\mathrm{Q}=[230.033927-229.033496-1.008665] \times 931.5

      =-7.7 \mathrm{MeV}

   For decay (ii)

\mathrm{Q}=[230.033927-299.032089-1.007825] \times 931.5

      =-5.6 \mathrm{MeV}

\therefore \mathrm{Q} \text { is negative for both the decay, so none of the decays are allowed. }

Posted by

Irshad Anwar

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