Q.

Two radio isotopes ,4 and B of atomic mass X and Y are mixed in equal amount by mass, After 20 days, their mass ratio is found to be 1 : 4 Isotope A has a half-life of I day, the half-life of isotope B is:

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a

1.11YX day

b

0.11XY day

c

0.6237 day

d

1.10 day

answer is D.

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Detailed Solution

W0= initial mass, W = mass. after 20 daysKA=2.303tlog⁡W0WAKB=2.303tlog⁡W0WBKA−KB=2.303tlog⁡WBWA∴t1/2B=1.10 day
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Two radio isotopes ,4 and B of atomic mass X and Y are mixed in equal amount by mass, After 20 days, their mass ratio is found to be 1 : 4 Isotope A has a half-life of I day, the half-life of isotope B is: