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Q.

Two radio active elements x and y have initially same number of active nuclei the plot of number of undecayed nuclei(N) versus activity (A) of the elements are shown in the diagram. If Tx and Ty are the half lines of x and y respectively, then

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a

Tx>Ty

b

Tx=Ty

c

Tx

d

informations are not sufficient to find the relation between Tx and Ty

answer is A.

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Detailed Solution

A=λN ⇒ N=(1λ)AAlso, half lite T=ln⁡2λ∴ N=(Tln⁡2)AFrom the diagram, Txln⁡2>Tyln⁡2⇒Tx>Ty
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