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Q.

The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve

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a

A

b

B

c

C

d

D

answer is B.

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Detailed Solution

Number of atoms undecayed N=N0e-λtNumber of atoms decayed =N0-N=N0(1-e-λt)⇒ Decayed fraction f=N0-NN0=1-e-λti.e., fraction will rise up to 1, following exponential path as shown in graph (B).
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The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve