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Physics Ray Optics Mix MCQ (Single Correct)

For a certain radioactive substance, it is observed that after 4 hours, only 6.25% of the original sample is left undecayed. If follows that-

A
Thehalf life of the sample is 1 hour
B
The mean life of the sample is hour
C
The decay constant of the sample is ln 2 hour –1
D
After a further 4 hours, the amount of the substance left over would by only 0.39% of the original amount

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The correct answer is:
CHECK THE SOLUTION.

(a, b, c, d)

We have 6.25% =

The given time of 4 hours thus equals 4 half-lives so that the half life is 1 hour.

Since half life

and mean life =

after further 4 hours, the amount left over would be or 0.39% of original amount.

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