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Q.

A heavy nucleus Q of the half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is

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a

50

b

75

c

350

d

525

answer is D.

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Detailed Solution

 at t=0N0=1000;α-decay and β-decay are in 3:1 ratio. 

 At t=20min→α− decay 300    β− decay 200 At t=40min→300+150        200+100 At t=60min→300+150+75525        200+100+50350

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