Threshold frequency for a metal is $15 \times 10^{14} \mathrm{~Hz}$. The light of wavelength $6000 Å$ falls…

Threshold frequency for a metal is $15 \times 10^{14} \mathrm{~Hz}$. The light of wavelength $6000 Å$ falls on the metal surface. Then photoelectrons [velocity of light in air, $c=3 \times 10^8 \mathrm{~m} / \mathrm{s}$]
  1. come out with zero velocity.
  2. come out with velocity $3 \times 10^6 \mathrm{~m} / \mathrm{sa}$
  3. will not be emitted
  4. are emitted with velocity $c$

Solution

Frequency of light of wavelength $\lambda=6000 \mathrm{~A}^0$ is $f=\frac{c}{\lambda}=\frac{3 \times 10^8}{6000 \times 10^{-10}} \mathrm{~Hz}=5 \times 10^{14} \mathrm{~Hz}$ which is less than the given threshold frequency. Hence, no photoelectric emission takes place.

Asked in: MHT CET 2022 (10 Aug Shift 1)

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