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Physics
A radioactive element has half-life period 1600 year. After 6400 year, what part of element will remain?
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Q. A radioactive element has half-life period $1600$ year. After $6400$ year, what part of element will remain?
Haryana PMT
Haryana PMT 2003
A
$ \frac{1}{4} $
B
$ \frac{1}{8} $
C
$ \frac{1}{16} $
D
$ \frac{1}{2} $
Solution:
Number of half lives $=\frac{6400}{1600}=4$
So, amount of element left $=\frac{1}{2^{4}}=\frac{1}{16}$ part