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There are two sources of light,each emit...

There are two sources of light,each emitting with a power of 100W.One emits X-rays of wavelength 1 nm and the other visible light at 500 nm.Find the ratio of number of photons of X-rays to the photon of visible light of the given wavelength?

Text Solution

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Power`(E_(n))/(t)=(nhf)/(t)=(nhc)/(lambda)`
`therefore P=n.(hc)/(lambda)` (where n.=no.of photons emitted per unit time)
`therefore n.=((P)/(hc))lambda`
`therefore n.prop lambda` (`because` Here P,h,c are constant)
`therefore (n.1)/(n._(2))=(lambda_(1))/(lambda_(2))`
`=(1nm)/(500 nm)`
`(n.1)/(n.2)=(1)/(500)`
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