## Module 1

Q1. The wavelength of an incident radiation λ0 is 500 nm (bandwidth .01 nm). What is the wavelength of the radiation scattered (not λ0) by a free electron in a direction making an angle 30° with the direction of the incident radiation

Q2. If the wavelength of the incident radiation λ0 in Q1 is changed to 1 pm (bandwidth .01 pm), what wavelength of the scattered radiation (not λ0) do you find (angle 30° ). Explain why the Compton component of the scattered radiation is easy to observe in the second case.

Q3. Briefly explain the effect of the recoil of the atom on the optical emission and absoption. Why γ-rays are used in the Mossbaur experiment.
The isomer shift of Fe57(3/2 → ½ = 14.4 Kev) in ferricinium bromide is +3.0 x 10-8ev. The lifetime (
τ) of 3/2 state is 10-7secs. Calculating the bandwidth, draw the Mossbauer spectrum

Q4. The MÖssbaur spectrum of Fe in a crystal shows two peaks at -0.08 cm/sec and +0.06  cm/sec. If the energy of the γ – ray source is 14.4 KeV, Calculate the splitting of these energy states.