Q.

When photon of energy 4.0 eV strikes 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 4.50 eV is  TB=TA1.5 eV. If the de-Broglie wavelength of these photoelectrons  λB=2λA, then the work function of metal B is:

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a

2eV

b

3eV

c

1.5 eV

d

4eV

answer is B.

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Detailed Solution

 

Relation between De  Broglie wavelength and K.E. isλ=h2KEmeλ1KE   λAλB=KEBKEA12=TA1.5TATA=2eV         KEB=21.5=0.5eVNow, for metal B work function is ϕB = EBKEB  ϕB=4.50.5=4eV 

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