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Dual Nature of Radiation and Matter

  1. The work function of a surface of a photosensitive material is 6.2 eV. The wavelength of incident radiation for which the stopping potential is 5 V lies in the:​​
    1. Ultraviolet region
    2. Visible region
    3. Infrared region
    4. X-ray region
Correct Option: A

Work function, φ0 = 6.2eV.
Stopping potential V0 = 5V. ​
As, eV0 = hv –  φ0

or eV0 + φ0 =
hc
λ

or λ =
hc
eV0 + φ0

λ =
6.62 × 10-34 Js × 3 × 108 ms-1
1.6 × 10-19 × 5J + 6.2 × 1.6 × 10-19J

λ =
6.62 × 10-34 × 3 × 108
m
1.6 × 10-19 (5 + 6.2)

=
19.86 × 10-26
1.10 × 10-7 m
17.92 × 10-19

Thus the wavelength of the incident radiation lies in the ultraviolet region.



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