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=2.303tlogW0WAKB=2.303tlogW0WBKA−KB=2.303tlogWBWA∴t1/2B=1.10 day
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: