Assignment I
Instructions:
Deadline for submitting the assignment 1 is on or before 21.02.2021 (Sunday Mid-night).
Assignments should be hand-written in your notebook. The Name and Roll No should be
mentioned in every single page.
Questions should be written first, followed by answers.
Compton Effect:
1. Monochromatic X-rays of wavelength 0.7078Å are scattered by carbon. The X-rays
scattered at an angle of 90° with the direction of incident beam are observed. What is
the wavelength of the scattered X-rays?
2. Calculate the wavelength of X-rays scattered at 180° from a carbon block if the
frequency of the incident rays is 1.8 x 1018 s-1.
3. X-radiation of wavelength of 1.12 Å is scattered from a carbon target. Calculate (i) the
wavelength of X-rays scattered at an angle of 90° with respect to the original direction
and (ii) the energy of scattering electron after collision.
4. An incident photon of wavelength 0.03 Å recoils at an angle of 60° after collision with
a free electron. Find the energy of the recoiling electron.
5. If an X-ray photon of wavelength 0.5 Å makes a Compton collision with a free electron
in carbon and is scattered at 90°, find the energy of the recoiling electron.
6. In a Compton experiment the wavelength of X-ray radiation scattered at an angle of 45°
is 0.022 Å. Calculate the wavelength of incident X-rays.
7. X-ray of wavelength 0.240 nm are Compton scattered and the scattered beam is
observed at an angle 60° relative to the incident beam. Find the wavelength of the
scattered X-rays.
8. In an experiment of Compton scattering, the incident radiation has wavelength, 2 Å.
Calculate the energy of recoil electron which scatters radiation through 60°.
Uncertainty Principle:
9. The life time of an energy state is 10-8 s. Calculate the uncertainty in the frequency of
the photon emitted during the transition (de-excitation of the atom).
10. A nucleon is confined in a nucleus of radius 5 x 10-15m. Calculate the minimum
uncertainty in the momentum of the nucleon.
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