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Questions  

From the graph lndNdt  versus t, the mean life of the radioactive sample ( in sec )is

a
1
b
2
c
3
d
0.5

detailed solution

Correct option is A

Decay Law , N=N0e−λt ⇒dNdt=−λN0e−λt  ⇒ dNdt=λN0e−λt ⇒lndNdt=lnλN0−λt Comparing with y = mx +c ,  Slope of graph is  −λ ∴−λ=8−42−6=−1 ⇒λ=1 ⇒1Tmean=1 ⇒Tmean = 1 sec

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