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the disintegration rate of a certain r...

the disintegration rate of a certain radioactive sample at any intsant is 4750 disintegration per minute , five mionutes later the rate becomes 2700 per minute ,calculate
(i) decay constant and (ii) half -life of the sample .

A

6.3 min

B

6.1 min

C

6.5 min

D

6 min.

Text Solution

Verified by Experts

The correct Answer is:
B
`kt =ln ((4750)/(2700))rArr (0.693)/(t_(1//2))xx5=2.303 log ""((4750)/(2700))`
`t_(1//2) =(0.693xx5)/(2.303 log""((4750)/(2700)))=(0.693xx5)/(0.565) =6.13` m in
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