What is the Wavelength of Scattered Radiation in a Compton Effect Experiment?

[skg94]

Homework Statement

If x ray with a weavelength of 4.5*10^-12m are used in a Compton effect experiment and are scattered at an anlge of 53.0 degree, the wavelength of the scattered radiation is?

ANS: 5.47*10^-12

Homework Equations

The Attempt at a Solution

The only thing i could think of was Δλ=h/mc*(1-cosθ)
which doesn't work seeing as how the xray didnt impact anything, i even tried it as if it impaced an electron using the mass of the electron. What formula or concept am i missing?

 

[SammyS]

Homework Statement

If x ray with a wavelength of 4.5*10^-12m are used in a Compton effect experiment and are scattered at an anlge of 53.0 degree, the wavelength of the scattered radiation is?

ANS: 5.47*10^-12

Homework Equations

The Attempt at a Solution

The only thing i could think of was Δλ=h/mc*(1-cosθ)
which doesn't work seeing as how the x-ray didn't impact anything, i even tried it as if it impacted an electron using the mass of the electron. What formula or concept am i missing?

In Compton scattering, the x-rays are usually scattered by electrons.

With that, I get the given answer.

 

[rude man]

Homework Statement

If x ray with a weavelength of 4.5*10^-12m are used in a Compton effect experiment and are scattered at an anlge of 53.0 degree, the wavelength of the scattered radiation is?

ANS: 5.47*10^-12

Homework Equations

The Attempt at a Solution

The only thing i could think of was Δλ=h/mc*(1-cosθ)
which doesn't work seeing as how the xray didnt impact anything, i even tried it as if it impaced an electron using the mass of the electron. What formula or concept am i missing?

For m did you use the rest mass of the electron? 'Cause the formula is correct.

 

[skg94]

I did

6.63*10^-34/ 9.11*10^31 * 3*10^8 * (1-cos53)= 9.65959164*10^-13

Then ANS - 4.5*10^-12 which yields 3.53*10^-12.

what did i do wrong?

 

[SammyS]

I did

6.63*10^-34/ 9.11*10^31 * 3*10^8 * (1-cos53)= 9.65959164*10^-13

Then ANS - 4.5*10^-12 which yields 3.53*10^-12.

what did i do wrong?

How about ANS + 4.5*10^-12 ?

 

[skg94]

How about ANS + 4.5*10^-12 ?

oh, how come its plus isn't Δλ= λi-λf, or is it plus? isn't the change in something usually subtract?

 

[SammyS]

oh, how come its plus isn't Δλ= λi-λf, or is it plus? isn't the change in something usually subtract?

You start with λ_i and finish with λ_f , so λ_i + Δλ = λ_f . In other words, Δλ = λ_f - λ_i , like with anything else.

 

[skg94]

ah.. silly mistakes are the ones that always get you thank you