Answer to Question #141973 in Quantum Mechanics for Giren

Question

Calcium has a work function of 2.7 eV. (a) What is the function of calcium expressed in joules? (b) What is the threshold frequency for calcium? (c) What is the maximum wavelength that will cause emission from calcium?
(e = 1.6 x 10-19 c,h - 6.6 x 10-34 Js,c = 3.0 x 108 ms-l.)

Answer 1

Solution

a) changing work function into joules

$\phi=2.7\times 1.6\times10^{-19}$

$\phi=4.32\times10^{-19}J$

b) for threshold frequency

$\phi=h\nu_0$

$\nu_0=\frac{\phi}{h}=\frac{4.32\times10^{-19}}{6.6\times10^{-34}}=65.45\times10^{-15} Hz$

C) now maximum wavelength

$\lambda=\frac{c}{\nu_0}=\frac{3\times10^8}{65.45\times10^{15}}=45.83 \times 10^{-10}m$