A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds…

A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1 and u2, respectively. If the ratio u1:u2=2:1 and $hc=1240 \mathrm{eVnm}$, the work function of the metal is nearly ($hc=1240 ~nm$)
  1. 3.7 eV
  2. 3.2 eV
  3. 2.8 eV
  4. 2.5 eV

Solution

hcλ1-ϕhcλ2-ϕ=u12u22
ϕ=3.7 eV

Asked in: JEE Advanced 2014 (Paper 2)

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