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^57Co decays to ^57Fe bybeta^+ -emission...

``^57Co` decays to ``^57Fe` by`beta^+` -emission.The resulting ``^57Fe`is in its excited state and comes to the ground state by emitting `gamma`-rays.The half-life of `beta^+`-decay is 270 days and that of the `gamma`-emission is `10^(-8)`s.A sample of ``^57Co` given `5.0xx10^9`gamma rays per second.How much time will elapse before the emission rate of gamma rays drops to `2.5xx10^9` per second ?

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