Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate threshold frequency (ν₀) and work function (W₀) of the metal.

Question

Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate threshold frequency ( ν 0 ) and work function (W 0 ) of the metal.

Philoid · Accepted Answer

Given:

Wavelength, λ = 6800 Å

To find threshold frequency, v_o:

We know the following basic relation,

Speed of Light = [Frequency] × [Wavelength]

We know speed of light = 3×10⁸ m/s

Frequency, v_o = [3×10⁸] / [6800 × 10^-10]

v_o = 4.412×10¹⁴ Hz

Work Function, W₀ = [6.626×10^-34] × [4.412×10¹⁴]

= 2.923×10^-19 J

Therefore, the threshold frequency is 4.41×10¹⁴ Hz and the work function is 2.92×10^-19 J.

Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate threshold frequency (ν0) and work function (W0) of the metal.

Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate threshold frequency (ν₀) and work function (W₀) of the metal.