Q.

When N0molecules of a radioactive nuclide are taken at t = 0, the activity reduces to ‘A’ in time t0 . When 3No molecules of the same nuclide are taken, activity will become 3A0in time t equal to :- Where; λ is decay constant of the Nuclide

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a

t0

b

t0+1λ

c

t0−1λ

d

None of these

answer is A.

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Detailed Solution

A0=λN0e−λt0 3Ao=3λN0e−λt ⇒1=eλt−t0 t=t0
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When N0molecules of a radioactive nuclide are taken at t = 0, the activity reduces to ‘A’ in time t0 . When 3No molecules of the same nuclide are taken, activity will become 3A0in time t equal to :- Where; λ is decay constant of the Nuclide