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Question: In a radioactive decay, let N represent the number of residual active nuclei, D the number of daught...

In a radioactive decay, let N represent the number of residual active nuclei, D the number of daughter nuclei, and R the rate of decay at any time t. Three curves are shown in Fig. The correct ones are –

A

1 and 3

B

2 and 3

C

1 and 2

D

All three

Answer

All three

Explanation

Solution

N = N0e–lt, D = N0 (1 – e–lt)

R= R0e–lt, =R0eλtN0eλt=R0 N0=λ= \frac { \mathrm { R } _ { 0 } \mathrm { e } ^ { - \lambda \mathrm { t } } } { \mathrm { N } _ { 0 } \mathrm { e } ^ { - \lambda \mathrm { t } } } = \frac { \mathrm { R } _ { 0 } } { \mathrm {~N} _ { 0 } } = \lambda

= const