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Question

7/8 fraction of a sample disintegrates in t time. How much time it will take to disintegrete 15/16 fraction :

A
t
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B
43t
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C
53t
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D
2t
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Solution

The correct option is B 43t
Solution we know
ln(a0a)=kt
where, a0 initial sample
a amount of sample left
after time t.
Here,
ln(a0a078a0)=kt
ln(8)kt ___(i)
So,
ln(a0a07516a0)=kt
ln(16)=kt____(ii)
Dividing (ii) by (i), we get
tt=ln(16)ln(8)=4ln(2)3ln(2)=43
t=4/3t
option - B is correct.

1147334_1168202_ans_6b3f375128e44d8f9f4a71ad30e4e85a.jpg

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