1. X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131...

1.

X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131 nm. Calculate the scattering angle. The speed of light is 3 × 108 m/s and Planck’s constant is 6.626 × 10?34 J · s. Answer in units of ? .

2.

A 0.0011 nm photon scatters from a free electron. For what (photon) scattering angle will the recoiling electron and scattered photon have the same kinetic energy? The speed of light is 3 × 108 m/s and Planck’s constant is 6.626 × 10?34 J · s. Answer in units of ? .

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Expert Solution

1.

The wavelengh shift ?? = 0.00131nm

From compton effect

the wave length shift

?? = (0.00243nm) [ 1 -cos?]

0.00131 nm = 0.00243nm [ 1-cos?]

then

1 -cos? = 0.00131/0.00243 =

cos? = 0.4609

therefore the scattering angle

? = 62.55 deg

2.

genius_generous answered 1 year ago

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1. X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131...

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