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Q.

A radioisotope X has a half-life of 10 s. Find the number of nuclei in the sample (if initially there are 1000 isotopes which are falling from rest from a height of 3000 m) when it is at a height of 1000 m from the reference plane.

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a

50

b

250

c

29

d

100

answer is B.

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Detailed Solution

Calculate time when it reaches a height of 1000 m, then use A=λN.

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A radioisotope X has a half-life of 10 s. Find the number of nuclei in the sample (if initially there are 1000 isotopes which are falling from rest from a height of 3000 m) when it is at a height of 1000 m from the reference plane.