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Question

A radio nuclide with half life T days emits β-particles of average kinetic energy E joule . This radionuclide is used as source in a machine which generates electric energy with efficiency η. The no.of moles of the nuclide required to generate electrical energy at an initial rate P is ( Avagadro no. =N)


A

PTln 2ηNE

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B

PTηNE

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C

PTηNE ln 2

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D

None of these

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Solution

The correct option is C

PTηNE ln 2


If n = no. of moles
Rate of decay =λnN=nNln2T
Rate of release of energy =E[dNdt]P=ηE[dNdt]=ηnNEln2T


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