1.

The average life of a W gm sample of .^(200)RaE is T seconds and average energy of the beta-particles emitted is E MeV. At what rate in watts does the sample emits energy?

Answer»

`(8WN_(0) E)/(T) xx 10^(-16)`
`(8 (1N 2) W N_(0) E)/(T) xx 10^(-13)`
`(8 WN_(0) E)/(T) xx 10^(-13)`
None is correct

Solution :Rate of `beta` particles emitted PER second
`= LAMBDA xx (W)/(At. WT) xx N_(0) = (1)/(T) xx (W)/(200) xx N_(0)`
Energy evolved per second
`= (1)/(T) xx (W)/(200) xx N_(0) xx E xx 1.6 xx 10^(-19) xx 10^(6) j sec^(-1)`
`= (8 WN_(0) E)/(T) xx 10^(6)` WATT per second


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