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 Assignment- I (Wave Mechanics) Physics- II (II Semester, 2013-14) Faculty Name- Dr S K Joshi Last date of Submission- 11-02-2014 1- Prove that a photon cannot transfer all its energy to a free electron, when it strikes the electron. 2- A photon of energy E is scattered from an electron of rest mass m 0  at rest and observed at a scattering angle greater than π/3. Show that the energy E’ of the scattered photon is less than 2m 0 c 2  however large may be the value of E. 3- A proton and an electron have same de-Broglie wavelength. Which of them moves faster and which possesses more kinetic energy? Justify your answer. 4- A photon of frequency ν is scattered by an electron of rest mass m 0. The scattered photon of frequency ν’ is observed at an angle 90 0 to the incident direction. Show that 2 2 ' h  p c     5- Determine the Ground state energy of linear Harmonic oscillator using Heisenberg Uncertainty principle. 6- Explain the working of Electron Microscope; discuss SEM and TEM in brief.

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Assignment- I (Wave Mechanics) Physics- II (II Semester, 2013-14)Faculty Name-Dr S K JoshiLast date of Submission- 11-02-2014

1- Prove that a photon cannot transfer all its energy to a free electron, when it strikes the electron.

2- A photon of energy E is scattered from an electron of rest mass m0 at rest and observed at a scattering angle greater than /3. Show that the energy E of the scattered photon is less than 2m0c2 however large may be the value of E.

3- A proton and an electron have same de-Broglie wavelength. Which of them moves faster and which possesses more kinetic energy? Justify your answer.4- A photon of frequency is scattered by an electron of rest mass m0. The scattered photon of frequency is observed at an angle 900 to the incident direction. Show that

5- Determine the Ground state energy of linear Harmonic oscillator using Heisenberg Uncertainty principle.6- Explain the working of Electron Microscope; discuss SEM and TEM in brief.