1.

Threshold wavelength of a metal is lamda_(0). The de Broglie wavelength of photoelectron when the metal is irradiated with the radiation of wavelength lamda is:

Answer»

`[(h lamdalamda_(0))/(2cm)]^((1)/(2))`
`[(h(lamda-lamda_(0)))/(2cmlamdalamda_(0))]^(1//2)`
`[(h(lamda_(0)-lamda))/(2cmlamdalamda_(0))]^(1//2)`
`[(hlamdalamda_(0))/(2mc(lamda_(0)-lamda))]^(1//2)`

SOLUTION :Absorbed energy=Threshold energy+Kinetic energy of photoelectron
`h(C)/(lamda)=(hc)/(lamda_(0))+E`
`E=hc[(1)/(lamda)-(1)/(lamda_(0))]` . . . .(i)
DE Broglie wavelength can be CALCULATED as
`lamda=(h)/(sqrt(2Em))`.. . . (ii)
From eqs. (i) and (ii)
`lamda=[(hlamdalamda_(0))/(2mc(lamda_(0)-lamda))]^(1//2)`


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