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One gram of a radioactive sample of half-life 10min is sealed in a capsule at time t=0 .Amount of sample decayed up to 5 min is

a
0.293 g
b
0.5 g
c
0.25 g
d
0.707 g

detailed solution

Correct option is A

Use the relation N=N0e−λt where the decay constant λ=(0.693/Thalf). The half life period Thalf is given to be 10 min, The amount N of radioactive out to be about 0.707g, so that the amount of sample decayed is (1−0.707)=0.293g.

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