- #1

Lauren12

- 6

- 0

## Homework Statement

a) calculate the energy, in joules, of a quantum of light with a wavelength of 590 nm.

b)will this colour be able to produce photoelectrons from the surface of a metal with a work function of 3.0 eV? Explain your reasoning.

## Homework Equations

f=c/λ

E=fh

ek=hf-W

## The Attempt at a Solution

a)

590 nm = 5.9*10^-7 m

f=c/λ

f=c/(5.9*10^-7)

f= 5.085*10^14

E=fh

E=5.085*10^14*h

E= 3.3712*10^-19 J

b)

Ek will be zero for minimum kinetic energy.

W=3.0eV = 4.80653199*10^-19 J

ek=hf-W

W=hf

f=W/h

f=4.80653199*10^-19 J/h

f= 7.25 * 10^14

Therefore this colour of light will not be able to produce photoelectrons from the surface of metal because the minimum frequency to produce light is larger than the frequency of the light.

If someone would confirm that what I have done is correct or not that would be great! I'm not sure if I'm even on the right track! Thanks in advance!