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CBSE Class 12 Physics 2018 Delhi Set 1 Paper

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Question : 9 of 26
Marks: +1, -0
If light of wavelength 412.5 nm412.5\ \mathrm{nm} is incident on each of the metals given below, which ones will show photoelectric emission and why?
 Metal  Work Function (eV)
 Na  1.92
 K  2.15
 Ca  3.20
 Mo  4.17
Solution:  
Calculating the energy of the incident photon 1 Identifying the metals
Reason
The energy of a photon of incident radiation is given by
  E=  hcλ\;E=\;\frac{h c}{\lambda}
∴   E=  6.63×10−34×3×108(412.5×10−9)×(1.6×10−19) eV\;E=\;\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{(412.5 \times 10^{-9}) \times (1.6 \times 10^{-19})}\ \mathrm{eV}
  =3.01 eV\;=3.01\ \mathrm{eV}
Hence, only Na\mathrm{Na} and K\mathrm{K} will show photoelectric emission
Reason: The energy of the incident photon is more than the work function of only these two metals.
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