A photon scatters in the backward direction (f = 180°) from a free proton that is initially at rest. What must the wavelength of the incident photon be if it is to undergo a 10.0% change in wavelength as a result of the scattering?
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A photon scatters in the backward direction (f = 180°) from a free proton that is initially at rest. What must the wavelength of the incident photon be if it is to undergo a 10.0% change in wavelength as a result of the scattering?
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- Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m²/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 1031 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R point charges q, to q, distributed along a semi-circle maintaining equal distance. The charge g, is at the center of the circle. The Suppose you have radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : = 4 = 24 µC, 92 = 4 = 29 µC and q3 = 6 = -27 µC. a) Find the vector that points from q, to 96 and call it r1,6 I component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. mPlatinum has a prominent x-ray emission line at 66.8 keV. (a) What is the minimum speed (in m/s) of an incident electron that could produce this emission line? m/s (b) What is the wavelength (in m) of a 66.8 keV x-ray photon? mIf a 7.0-keV photon scatters from a free proton at rest, what is the change in the photon's wavelength if the photon recoils at 90°?
- The momentum of light, as it is for particles, is exactly reversed when a photon is reflected straight back from a mirror, assuming negligible recoil of the mirror. The change in momentum is twice the photon’s incident momentum, as it is for the particles. Suppose that a beam of light has an intensity I and falls on an area A of a mirror and reflects from it. Er = I A t p = 2 ( I A t )/c Use Newton’s second law to write an equation for the force on the mirror for time t. Use the variables along with c for the speed of light.A photon with wavelength A 7.10 x 10 nm is incident on an electron that is initially at rest. If the photon scatters in the backward direction, what is the magnitude of the linear momentum of the electron just after the collision with the photon? (Just write the result in Sl units)A photon with wavelength A =7.10 x 10- nm is incident on an electron that is initially at rest. If the photon scatters in the backward direction, what is the magnitude of the linear momentum of the electron just after the collision with the photon? ( write the result in SI units)
- A 0.00220-nm photon scatters from a free electron. For what (photon) scattering angle does the recoiling electron have kinetic energy equal to the energy of the scattered photon?answer in degrees °X-rays are scattered from a target at an angle of 54.9° with respect to the direction of the incident beam. What is the wavelength shift (in m) of the scattered x-rays? What If? For what scattering angle (in degrees) will the wavelength shift of x-rays be exactly double that found in part (a)?Calculate the momentum in N·s of a photon with a wavelength 638 nm.