1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
3 years ago
7

X rays of wavelength 0.0169 nm are directed in the positive direction of an x axis onto a target containing loosely bound electr

ons. For Compton scattering from one of those electrons, at an angle of 132°, what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron, and (d) the angle between the positive direction of the x axis and the electron's direction of motion? The electron Compton wavelength is 2.43 × 10-12 m.
Physics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

a) 4.04*10^-12m

b) 0.0209nm

c) 0.253MeV

Explanation:

The formula for Compton's scattering is given by:

\Delta \lambda=\lambda_f-\lambda_i=\frac{h}{m_oc}(1-cos\theta)

where h is the Planck's constant, m is the mass of the electron and c is the speed of light.

a) by replacing in the formula you obtain the Compton shift:

\Delta \lambda=\frac{6.62*10^{-34}Js}{(9.1*10^{-31}kg)(3*10^8m/s)}(1-cos132\°)=4.04*10^{-12}m

b) The change in photon energy is given by:

\Delta E=E_f-E_i=h\frac{c}{\lambda_f}-h\frac{c}{\lambda_i}=hc(\frac{1}{\lambda_f}-\frac{1}{\lambda_i})\\\\\lambda_f=4.04*10^{-12}m +\lambda_i=4.04*10^{-12}m+(0.0169*10^{-9}m)=2.09*10^{-11}m=0.0209nm

c) The electron Compton wavelength is 2.43 × 10-12 m. Hence you can use the Broglie's relation to compute the momentum of the electron and then the kinetic energy.

P=\frac{h}{\lambda_e}=\frac{6.62*10^{-34}Js}{2.43*10^{-12}m}=2.72*10^{-22}kgm\\

E_e=\frac{p^2}{2m_e}=\frac{(2.72*10^{-22}kgm)^2}{2(9.1*10^{-31}kg)}=4.06*10^{-14}J\\\\1J=6.242*10^{18}eV\\\\E_e=4.06*10^{-14}(6.242*10^{18}eV)=0.253MeV

You might be interested in
Horatio drew a diagram to illustrate how magnetism is produced by electric currents
dimaraw [331]
<span>The magnetic field does not continually spread outward from the wire.</span>
4 0
3 years ago
Read 2 more answers
Relating to Newton’s Third Law, action and reaction, what is the reaction when a rocket expels gas, smoke and flames from the no
Cloud [144]

Answer:

Propels in the opposite direction

Explanation:

7 0
3 years ago
Which type of ocean sediment contains the remains of dead organisms?
konstantin123 [22]
The <span>biogenous sediment contains the remains of dead organisms such as shells and skeletons.</span>
4 0
3 years ago
Read 2 more answers
Which of the following is a device that uses an inclined plane?
Mnenie [13.5K]

Answer:

A and B

Explanation:

5 0
3 years ago
Read 2 more answers
What is the minimum coefficient (ms) of static friction between the road and the car? Since the net force is equivalent to the f
kirill115 [55]
            Best Answer:  <span> fnet = umg </span>
3 0
2 years ago
Other questions:
  • Using the information from Paul Hewitt's Conceptual Development Practice Page 25-1 and the image below, answer the following que
    14·1 answer
  • A major artery with a cross sectional area of 1.00cm^2 branches into 18 smaller arteries, each with an average cross sectional a
    10·1 answer
  • Frame S' passes frame S in the usual way (positive directions). An object also moves in the positive direction. Which is true? T
    12·1 answer
  • A student walks to the right 25-m along the 800 hall in 15-s. They turn around and walk 15-m to the left in 8.0-s. Calculate the
    10·1 answer
  • A 300-kg piano being held by a crane is accidentally dropped from a height of 15 meters. a. What is the speed of the piano just
    9·1 answer
  • This pendulum is at<br><br> minimum displacement<br> maximum displacement<br> equilibrium
    9·2 answers
  • 5) The max, height reached by a bike rider is 250m after she reaches top speed and then
    12·1 answer
  • The ____ of emitted light depends directly on the energy between the two orbits and this determines the color of the light
    8·1 answer
  • What is the power through a device with a resistance of 100 ohms if a current of 8 A is running through it?
    13·1 answer
  • Which of the zodiac constellations will be highest at midnight?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!