Title Physics QB 2024.pdf ✅

21 (a)What is a matter wave .Derive the expression for it and discuss the significance of change in mass and velocity on it. (b) Describe Davisson and Germer Experiment. What does it confirm? 4 4 22 Derive time independent Schrodinger wave equation. 8 23 Derive time dependent Schrodinger wave equation. April May -24 Nov Dec 22, Nov Dec 21 8 24 State and prove Heisenberg’s uncertainty principle. Explain its consequence with examples. . Nov Dec 22 8 25 Derive one dimensional Schrodinger wave equation for a particle in a box and hence find energy eigenvalue for it. 8 26 (a) Explain with the help of uncertainty principle why electron cannot reside inside the nucleus. (b) Calculate the uncertainty in measurement of momentum of an electron if the uncertainty in its location is 1Å. April May -22 4 4 27 (a) What is a wave packet? Explain Born interpretation. April May -24 Nov Dec 22 April May -22 (b) Calculate the energy required for an electron to jump from ground state to the second excited state in a potential well of width L. 4 4 28 Derive expression for energy eigen value and normalized eigen function for a particle trapped in one dimensional infinite potential well of width a. April May -24 , April May -22 , Nov Dec 22 8 29 (a) Explain de Broglie hypothesis of matter wave .Compute the wavelength of electron moving with a speed of 2x 107 m/s. Nov Dec 23 (b) A certain Photon has a momentum of 1.5 x 10-27 kg m/sec What will be the photons de- Broglie wavelength. 4 4 30 (a)Uncertainty in position of particle of 25 gm in space is 10-5 m Calculate the uncertainty in velocity . Nov Dec 23 (b) Find the energy of an electron moving in one dimension in an infinite high potential box of width 1.5 A0 4 4