Problem 12: X-rays have wavelength of 0.200 nm and are scattered at an angle of 45 with respect to initial direction of the Xray beam (assume initial direction towards the positive x-axis). a) Find the new wavelength that the scattered X-rays have after collision. b) Find fraction of energy lost after scattering.

Problem 14: The uncertainty in position for a particle is 7.5x10-15 m. Find the uncertainty in its momentum if the particle has mass of 0.5x10-31 Kg. You decide to measure the energy of an electron in 10-8 sec. What is the corresponding uncertainty in energy measurement?

Problem 16: When an electron absorbs a photon of sufficient energy the electron gets pumped to a higher energy state and then immediately goes down to a lower energy state, but at the same time a photon is emitted of energy equal to the difference of the 2 energy states. If the uncertainty in time for which the electron gets de-excited is 10-8 sec, calculate the uncertainty in frequency in Hz of the released photon that you measure.

Problem 12: X-rays have wavelength of 0.200 nm and are scattered at an angle of 45 with respect to initial direction of the Xray beam [assume initial direction towards the positive x-axis). a} Find the new wavelength that the scattered X-rays have after collision. b] Find fraction of energy lost after scattering. Problem 14: The uncertainty in position for a particle is 153410-15 m. Find the uncertainty in its momentum if the particle has mass of 0.5x10-31 Kg. You decide to measure the energy of an electron in 10-3 sec. What is the corresponding uncertainty in energy measurement? Problem 16: When an electron absorbs a photon of sufcient energy the electron gets pumped to a higher energy state and then immediately goes down to a lower energy state, but at the same time a photon is emitted of energy equal to the difference of the 2 energy states. If the uncertainty in time for which the electron gets tie-excited is 10-3 sec, calculate the uncertainty in frequency in Hz of the released photon that you measure