Flag AIPMT> After five half lives, percentage of orig...
question mark

After five half lives, percentage of original radioactive atoms left is
1%
0.3%
3.125%
0.2%

chandreyee , 11 Years ago
Grade 12
anser 3 Answers
Sumit Majumdar
We have:
N=N_0\exp^{-\lambda t}
And,
\lambda=\frac{0.693}{t_{1/2}}
Hence,
N=N_0\exp^{-\lambda t}=N_0\exp^{-\frac{0.693}{t_{1/2}} \times {5t_{1/2}}}=N_0\exp^{-{0.693}\times {5}}=N_0\exp^{-3.465}
So,
\frac{N}{N_0}=3.127 \%

ApprovedApproved
Last Activity: 10 Years ago
Adarsh
After 1, 2, 3, 4 half lives the percentage of original radioactive atoms left will be
50%, 25%, 12.5%, 6.25%.
So after 5 half lives the percentage of original radioactive atoms left will be
3.125%
Please approve if my answer is correct
ApprovedApproved
Last Activity: 10 Years ago
prince Kumar
6 will be answer after 4 half lifes of radioactive atom this is right or wrong tell me. .who discovered heavy hydrogen?
Last Activity: 8 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments