The rate constant value for the decay of radioactive isotopes and , used in radiomedicine are and respectively. In a hospital at a time , the activity of sample was found to be twice that of . (Activity = no. of disintegrations / sec). The activities

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The rate constant value for the decay of radioactive isotopes $X$ and $Y$ , used in radiomedicine are $0.05 h r^{- 1}$ and $0.025 h r^{- 1}$ respectively. In a hospital at a time $' t_{0}'$ , the activity of sample $X$ was found to be twice that of $Y$ . (Activity = no. of disintegrations / sec). The activities of the two radioisotopes will be approximately equal when the time elapsed is ____ hour (Round off to nearest integer). (use ln 2 = 0.7)

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