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Question

When photons of energy 4.25eV strike the surface of a metal A, the ejected photo-electrons have maximum kinetic energy, TA(expresses in eV) and de Broglie wavelength λA. The maximum kinetic energy of photoelectrons liberated from another metal B by photons of energy 4.70eV is TB=TA1.50eV. If the de-Broglie wavelength of these photo-electrons is λB=2λA, then which is not correct?

A
The work function of A is 2.25eV
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B
The work function of B is 1.20eV
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C
TA=2.00eV
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D
TB=0.5eV
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Solution

The correct option is D The work function of B is 1.20eV
From Einstein's photoelectric equation, hν=ϕ+T
For metal A, 4.25 eV=ϕA+TA ...... (1)
For metal B, 4.70 eV=ϕB+TB......(2)
The de Brogile wavelength λ=12mT
λBλA=TATb=2 (given)
TA=4TB, but TB=(TA1.50) eV (given)
TA4=TA1.50
34TA=1.50
TA=2 eV and TB=0.50 eV.
Substitute these values in equations (1) and (2).
ϕA=2.25 eV and ϕB=4.20 eV

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