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Question: The half life of a radioactive substance is 30 days what is the time taken to disintegrate to 3/4<su...

The half life of a radioactive substance is 30 days what is the time taken to disintegrate to 3/4th of its original mass?

A

30 days

B

15 days

C

60 days

D

90 days

Answer

60 days

Explanation

Solution

: Here, N0NN0=34\frac{N_{0} - N}{N_{0}} = \frac{3}{4}

\therefore no of half lives, n=2

Time taken to disintegrate

==Half life × No. of half lives

=30×2=60days= 30 \times 2 = 60days