You scatter x-rays of wavelength 0.0101 nm0.0101 nm from the loosely bound electrons of a target material. Find the angle at which the wavelength of the scattered x-rays is longer than the incident wavelength by a factor of f=1.0391
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- Calculate the de Broglie wavelength of a proton moving at 2.60 x 104 m/s and 1.99 x 108 m/s. (a) 2.60 x 104 m/s m (b) 1.99 x 108 m/sA 480 nm laser beam is incident on two different metallic surfaces, one made of sodium (Na), the other of magnesium (Mg). If the respective work functions of these metals are 2.66 eV and 3.66 eV, will electrons be ejected by the 480 nm photons? If so, calculate the maximum KE the photoelectrons can have.Ultraviolet light with a single wavelength and with an intensity of 550 W/m² is incident normally on the surface of a metal that has a work function of 3.44 eV. Photoelectrons are emitted with a maximum speed of 420 km/s. Find the maximum possible rate of photoelectron emission from 1 cm² of the surface by imagining that every photon produces one photoelectron.
- You use 0.124 nm x-ray photons in a Compton-scattering experiment. At what angle is the wavelength of the scattered x rays 1.0% longer than that of the incident x rays? 70.6° 67.0° 60.7° 56.5°A photon has an energy E and wavelength l before scattering from a free electron. After scattering through a 135° angle, the photon’s wavelength has increased by 10.0%. Find the initial wavelength and energy of the photon.Light with wavelength ? = 635 nm is incident on a metallic surface. Electrons are ejected from the surface. The maximum speed of these electrons is v = 4.40 ✕ 105 m/s. a) What is the work function of the metal (in eV)? b) What is the cutoff frequency for this metal (in Hz)?
- A photon of wavelength 0.90638 nm strikes a free electron that is initially at rest. The photon is scattered straight backward. What is the speed of the recoil electron after the collision? V = i ! m/sWhen light of wavelength 240 nm falls on a tungsten surface, electrons having a maximum kinetic energy of 0.67 eV are emitted. Find values for the following. (a) the work function of tungsten ev (b) the cutoff wavelength nm (c) the frequency corresponding to the cutoff wavelength HzLight of wavelength > light. = 5.34 × 10¹¹m is incident on an electron and undergoes Compton scattering at an angle of 0 = 13.1° from the direction of the incident What is the magnitude of the momentum of the scattered photon? ×10-25 Js/m
- What is the velocity (in m/s) of a 0.430 kg billiard ball if its wavelength is 7.70 cm (large enough for it to interfere with other billiard balls)?A x-ray having wavelength 0.077nm strikes a free and ‘stationary’ electron. This causes the electron to recoil and an x-ray having longer wavelength to be emitted at angle θ to the direction of the incident x-ray. If the electron recoils with kinetic energy 0.9238 eV, determine the angle at which the second x-ray emerges