First slide

Electromagnetic radiation and spectra

Question

The work function for caesium atom is l.9eV. Calculate the threshold frequency of the radiation. If the caesium element is irradiated with a wavelength 500 nm

Moderate

A

4.588 x 10¹⁴
B

5.684 x 10¹²
C

4.624 x 10⁸
D

5.245 x 10¹¹

Solution

$If threshold frequency = v_{0} and threshold wavelength = λ_{0} then, W_{0} = {hv}_{0} ∴ v_{0} = \frac{W_{0}}{h} = \frac{1 .9 \times 1 .6 \times 10^{- 19} J}{6 .626 \times 10^{- 34} Js} = 4 .588 \times 10^{14} s^{- 1}$

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