Q.

Read the following : 

(i) The half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. Initially both of them have the same number of atoms. Then Y will decay at a faster rate than X.

(ii) The electron emitted in beta radiation originates from decay of a neutron in a nucleus

(iii) The half-life of 215 At is 100 ms. The time taken for the radioacivity of a sample of 215 At to decay to 1116th of its initial value is 400 ms.

(iv) The volume (V) and mass (m) of a nucleus are related as Vm 

(v) Given a sample ofRadium-226 having half-life of 4 days. The probability, a nucleus disintegrates within 2 half lives is 3/4.

Select the correct code for above.

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a

T T T T T

b

F T TT F

c

T F T T F

d

FT FT F

answer is A.

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Detailed Solution

All the statements given in the question are true.

Average life period is inversely proportional to the rate constant,

λ=1k

Half life of reaction,

t1/2=0.693k

The electron which is emitted in beta radiation originates from the decay of a neutron in the nucleus.

 t3/4=2×t1/2

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