Question: Q. 1. A radioactive nucleus ’ A ’ undergoes a series of given below :

AαA1βA2αA3γA4

The mass number and atomic number of A2 are 176 and 71 respectively. Determine the mass and atomic numbers of A4 and A. (ii) Write the basic nuclear processes underlying β+ and βdecays.

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Solution:

Ans. (i) A4 Mass Number : 172

A : Mass Number : 180

Atomic Number : 72

[Alternatively : Give full credit if student considers β+decay and find atomic and mass numbers accordingly.]

${ }{72}^{180} \mathrm{~A} \xrightarrow{\alpha}{ }{70}^{176} A_{1} \xrightarrow{\beta}{ }^{176} A_{2} \xrightarrow{\alpha}{ }{69}^{172} A{3} \xrightarrow{\gamma}{ }{69}^{172} A{4}$

Gives the values quoted above.

If the student takes β+decay

$$ { }{72}^{180} \mathrm{~A} \xrightarrow{\alpha}{ }^{176} A{1} \xrightarrow{\beta^{+}}{ }^{176} A_{2} \xrightarrow{\alpha}{ }^{172} 69 A_{3} \xrightarrow{\gamma}{ }^{172} A_{4} $$

This would give the answers :

(A4:172,69);(A180,74)]

(ii) Basic nuclear process for β+decay

pn+10e+v

For βdecay

np+10e+v¯

[Note : Give full credit of this part, if student writes the processes as conversion of proton into neutron for β+decay and neutron into proton for βdecay.]

[CBSE Marking Scheme2017]



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