WAEC - Physics (2024 - No. 25)

Light of energy 1.12 x 10\(^{-18}\) J is incident on a metal of ejected electrons with maximum energy of 8.0 x 10\(^{-19}\)J. Calculate the threshold frequency of the metal. [h = 6.626 x 10\(^{-34}\)Js] 
4.8 x 10\(^{14}\)Hz
1.2 x 10\(^{15}\)Hz
1.7 x 10\(^{15}\)Hz
2.8 x 10\(^{15}\)Hz

Explanation

E = hf + W\(_o\)

E = 1.12 x 10\(^{-18}\)J

Max. Energy = 8.0 x 10\(^{-19}\)J.

W\(_o\) = E - Max. Energy  = 1.12 x 10\(^{-18}\)J - 8.0 x 10\(^{-19}\)J. = 3.2 x 10\(^{-19}\)J.

But W\(_o\) = hf\(_o\)

f\(_o\) = \(\frac{W_o}{h}\) = \(\frac{3.2 \times 10^{-19}}{6.626 \times 10^{-34}}\) = 4.83 x 10\(^{14}\)Hz

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