(i) A graph of the number of undecayed nuclei of a radioactive sample against time…

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

(i) A graph of the number of undecayed nuclei NN of a radioactive sample against time approaches the time axis but never actually touches it. Explain the physical reason for this behaviour. (ii) Describe a graphical method of obtaining the half-life of a radioisotope from its semi-log plot of ln⁡N\ln N versus time without performing any algebraic calculation. (iii) If log⁡10N\log_{10}N is plotted on the ordinate instead of ln⁡N\ln N, how does the numerical value of the slope change? State the factor relating the two slopes.

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