Answer to Question #141970 in Quantum Mechanics for Ulrich

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=1.6×10^-19 C, ℎ=6.6×10^-34 Js , c=3.0×10^8 m/s) .

Answer 1

a)

The work function is

$W=2.7 eV=4.32 \times10^{-19} J$

b)

The threshold frequency is

$f=\frac{W}{h}=\frac{4.32 \times10^{-19}}{6.626 \times10^{-34}}=6.52 \times 10^{14} Hz$

c)

The maximum wavelength is

$\lambda =\frac{hc}{W} =\frac{(6.626 \times10^{-34})(3.0 \times10^{8})}{4.32 \times10^{-19}}=460 nm$