Question 1 1. In the Compton effect, an X-ray photon of wavelength 0.29 nm is in

Question

Question 1

1. In the Compton effect, an X-ray photon of wavelength 0.29 nm is incident on a stationary electron. Upon collision with the electron, the scattered X-ray photon continues to travel in the same direction as the incident photon. What is the wavelength ?' of the scattered photon?
1 nm
Question 2
A particle (m = 4.5 10-28 kg) starting from rest, experiences an acceleration of 2.4 107m/s2 for 5.0 s. What is its de Broglie wavelength ? at the end of this period?

Question 3
(a) What is the wavelength of a 7.0-eV photon?
1 m

(b) What is the de Broglie wavelength of a 7.0-eV electron?
2 m
Question 4
Radiation of a certain wavelength causes electrons with a maximum kinetic energy of 0.66 eV to be ejected from a metal whose work function is 2.90 eV. What will be the maximum kinetic energy (in eV) with which this same radiation ejects electrons from another metal whose work function is 2.05 eV?
1 eV

Explanation / Answer

we have that ?lamda=h*(1-cos0)/m0c this is the same direction, so that 0 = 180. so ?lamda=h*2/m0c=4.86e-12(m) so lamda=0.295nm. ----------- its speed. v=1.2e8(m/s). so its momentum. P=m*1.2e8/sqrt(1-1.2e8^2/c^2)=5.9e-20(kgm/s). so lamda=h/P=1.12e-14(m). ----------- lamda=h/P=hc/E=1.77e-7(nm). -------- 7eV electron so v=1.57e6(m/s). so lamda=h/P=4.6e-10(nm). -------- 0.66+2.90=K+2.05 so K=1.51(eV)

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