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WAEC SSCE - Physics - 1999 (Objective)

Question 1 Report

A metal has work function of 4.375 eV Calculate its threshold frequency. (h = 6.6 x 10-34Js; 1eV = 1.6 x 10-19J)
Answer Details
The threshold frequency of a metal is the minimum frequency of light required to eject an electron from its surface. The formula for calculating the threshold frequency is given by: Threshold frequency = Work function / Planck's constant We are given the work function of the metal as 4.375 eV. We need to convert this into joules using the conversion factor 1 eV = 1.6 x 10^-19 J: Work function = 4.375 x 1.6 x 10^-19 J/eV = 7 x 10^-19 J We are also given Planck's constant as 6.6 x 10^-34 J s. Now, substituting the values into the formula, we have: Threshold frequency = Work function / Planck's constant Threshold frequency = (7 x 10^-19 J) / (6.6 x 10^-34 J s) Threshold frequency = 1.06 x 10^15 Hz Therefore, the threshold frequency of the metal is 1.06 x 10^15 Hz. Option (ii) is the correct answer.