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Q.

When photons of energy 4.25 eV strike the surface of a metal A, the ejected photo electrons have maximum kinetic energy, TA (expressed in eV) and de Broglie wavelength lA. The maximum kinetic energy of photoelectrons liberated from another metal B by photons of energy 4.20 eV is TB=TA−1.50  eV. If the de Broglie wavelength of these photoelectrons is λB=2λA, then the work function of metal B is _______eV.

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answer is 0003.70.

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Detailed Solution

Incident energy (E1) =  work function (W)+kinetic energy (KE)4.25=WA+TA−−−−14.20=WB+TB−−−−2λα1KE⇒λBλA=TATB⇒2=TATA−1.5⇒TA=2.0 ev⇒TB=TA−1.5=2−1.5 ev=0.5 ev∴WB=4.2−0.5=3.70 ev
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