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Q.

When photon of energy 4.25 eV strike the surface of a metal A, the ejected photoelectrons have maximum kinetic energy TA eV and de-Broglie wavelength λA .The maximum kinetic energy of photoelectrons liberated from another metal B by photon of energy 4.70 eV is TB=TA-1.50 eV. If the de-Broglie wavelength of these photoelectrons is λB=2λA then

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a

the work function of A is 3.40 eV

b

the work function of B is 6.75 eV

c

TA=2.00eV

d

TB=2.75eV

answer is C.

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Detailed Solution

Kmax=E−W0 ∴ TA=4.25−W0A TB=TA−1.5=4.70−W0B  Equation (i) and (ii) gives W0B−W0A=1.95eV  De Broglie wave length λ=h2mK⇒λ∝1K ⇒λBλA=KAKB⇒2=TATB−1.5⇒TA=2eV  From equation (i) and (ii)  WA=2.25eV and WB=4.20eV
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When photon of energy 4.25 eV strike the surface of a metal A, the ejected photoelectrons have maximum kinetic energy TA eV and de-Broglie wavelength λA .The maximum kinetic energy of photoelectrons liberated from another metal B by photon of energy 4.70 eV is TB=TA-1.50 eV. If the de-Broglie wavelength of these photoelectrons is λB=2λA then