# Find the frequency and wavelength of a 100 MeV gamma ray photon

## Homework Statement

Find the frequency and wavelength of a 100 MeV gamma ray photon

## Homework Equations

100 MeV=1.602 X 10^-11

## The Attempt at a Solution

I do not know how to do this. I am in a class for elementary teachers and we have to solve this problem.

Do you have any equations that relate wavelength to frequency?

I do not know any.

Well you should certainly have an equation for relating wavelength and frequency, the less obvious thing is relating the energy of a photon to the frequency/wavelength

You should also have an equation for that, it involves planck's constant, h

Wave length equals frequency times 340 meters per second...

Wave length equals frequency times 340 meters per second...

Unfortunately that's the specific equation for sound waves, pretty much at sea level. The topic creator is dealing with electromagnetic waves

mgb_phys
Homework Helper
The equation for frequency and wavelength is simply speed = wavelength * frequency
A gamma ray photon is a kind of light so you need the speed of light.

There is also an equation relating it energy, energy = h * frequency
where 'h' is a constant = 6.6 x 10 ^-34 Js

Remember that all you values must be in the same units ( metres, seconds, Joules) for these constant to work

We're doing this in my A-level at school.

First find the frequency using, Energy (J)=Planck Constant (Js) X Frequency (Hz)
Or, E=hf.
The planck Constant is (6.6 x 10^-34).
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So:
(1.602 X 10^-11)J = (6.6 x 10^-34)Js X f

Or

(1.602 X 10^-11)J / (6.6 x 10^-34)Js = f

So the frequency is (2.47 X 10^22)Hz.
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Speed (ms) = Frequency (Hz) X Wavelength (m)

So:

Speed of light-> (3.0 X 10^8)ms / (2.47 X 10^22)Hz = Wavelength (m)

=(1.215 X 10^-14)

Redbelly98
Staff Emeritus