Physics

Problem

For two metals X and Y, the stopping potentials measured at two different incident light frequencies are given in the table. Frequency

\nu

(

\times10^{14}\,\text{Hz}

) |

V_{0\,\text{X}}

(V) |

V_{0\,\text{Y}}

(V) 6.0 | 0.8 | 0.2 7.0 | 1.4 | 0.8 a. (i) Using the data for either metal, determine the numerical value of

h/e

(Planck’s constant per unit charge) from the slope of the

V_0

–

\nu

relation. b. (ii) For each metal, calculate its threshold frequency

\nu_0

by extrapolating the linear relation to

V_0=0

. c. (iii) Hence compute the work function of each metal in electron-volt and rank X and Y in ascending order of work function. d. (iv) A beam of light of wavelength

550\,\text{nm}

is incident on both metals with the same intensity. State which metal(s) will emit photo-electrons and arrange the emitting metal(s), if any, in descending order of the maximum kinetic energy of the emitted electrons.

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