Physics

Problem

Lines A and B shown on the same set of experimental axes represent the variation of stopping potential

V_0

with frequency

\nu

for two different metals A and B. Both lines have an identical slope of

4.14\times10^{-15}\,\text{V\,s}

but intercept the potential axis at

-1.60\,\text{V}

(metal A) and

-2.50\,\text{V}

(metal B). Use

e = 1.6\times10^{-19}\,\text{C}

and

c = 3.0\times10^{8}\,\text{m\,s}^{-1}

. a. (i) Calculate the work functions of metals A and B in electron-volt. b. (ii) Find the threshold wavelength for each metal. c. (iii) A beam of light of wavelength

350\,\text{nm}

is incident on both metals. Predict which metal(s) will emit photo-electrons and justify your answer with numerical calculation.

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