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A radioactive substance decays to 1/64 o...

A radioactive substance decays to `1/64` of its initial quantity in 30 days. The time during which it will decays to `1/128` of its initial quantity is

A

30 days

B

35 days

C

40 days

D

45 days

Text Solution

Verified by Experts

The correct Answer is:
B
`lambda=2.303/t_(1) log (N_(0)/N)`
`=2.303/30 log (64/1)`
`=0.1386`
`:. t_(2)=2.303/lambda log (N_(0)/N)`
`=2.303/0.1386 log (128/1)`
`~~35` days
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