Question 1

What is the angular resolution of the eye at a wavelength of 500 nm for a pupil diameter of 2.8 mm?

Accepted Answer

A)  1.8 $\times$ 10-4 rad 
B)  2.2 $\times$ 10-4 rad 
C)  8.9 $\times$ 10-5 rad 
D)  4.5 $\times$ 10-5 rad 
E)  3.3 $\times$ 10-5 rad 
A)  1.8 $\times$ 10-4 rad 
B)  2.2 $\times$ 10-4 rad 
C)  8.9 $\times$ 10-5 rad 
D)  4.5 $\times$ 10-5 rad 
E)  3.3 $\times$ 10-5 rad

Question 2

A Young's double-slit experiment is performed and then repeated after moving the screen to triple the previous distance from the slit.What happens to the angular separation (as measured from the slits)of the 4th order maxima?

Accepted Answer

A)  there is no change 
B)  it becomes one-third the original value 
C)  it becomes four times the original value 
D)  it triples 
E)  it increases by a factor of 2.25 
A)  there is no change 
B)  it becomes one-third the original value 
C)  it becomes four times the original value 
D)  it triples 
E)  it increases by a factor of 2.25

Question 3

A single slit is opened in an opaque barrier.Light is shone through the slit and the diffraction pattern is observed.If the slit is decreased in size to half its original size,by what factor does the width of the central diffraction maximum change?

Accepted Answer

A)  decreases by a factor four 
B)  Doubles 
C)  Halves 
D)  Increases four times 
A)  decreases by a factor four 
B)  Doubles 
C)  Halves 
D)  Increases four times

Question 4

Substituting tan $\theta$ for sin $\theta$ results in what percent error for an angle of 5.00$^{\circ}$?

Accepted Answer

A)  5.00 
B)  0.0166 
C)  0.0333 
D)  0.191 
E)  0.381 
A)  5.00 
B)  0.0166 
C)  0.0333 
D)  0.191 
E)  0.381

Question 5

A holographic plate produces an image for the viewer that is:

Accepted Answer

A)  real 
B)  virtual 
C)  may be either virtual or real 
A)  real 
B)  virtual 
C)  may be either virtual or real

Question 6

A thin film of soapy water, n = 1.37, is held vertical.Light of wavelength 600 nm is reflected from the film and horizontal dark lines appear.What is the difference in thickness of the soap film from one band to the next?

Accepted Answer

A)  600 nm 
B)  438 nm 
C)  300 nm 
D)  219 nm 
E)  900 nm 
A)  600 nm 
B)  438 nm 
C)  300 nm 
D)  219 nm 
E)  900 nm

Question 7

In a double slit experiment,the intensity of the light reaching the center of he screen from one slit alone is I0 and intensity of the light reaching the center from the other slit alone is 9I0.When both slits are open,what is the intensity of the light at the minima nearest the center?

Accepted Answer

A)  4I0 
B)  0 
C)  8I0 
D)  2I0 
A)  4I0 
B)  0 
C)  8I0 
D)  2I0

Question 8

A grating is made with 600 slits per millimeter.What is the slit separation?

Accepted Answer

A)  600 nm 
B)  1.67 $\times$ 10-6 m 
C)  3.33 $\times$ 10-6 m 
D)  160 pm 
E)  916 nm 
A)  600 nm 
B)  1.67 $\times$ 10-6 m 
C)  3.33 $\times$ 10-6 m 
D)  160 pm 
E)  916 nm

Question 9

If light of wavelength 690 nm is used in a double-slit experiment with slit separation 0.206 mm,what angle separates the two 4th order maxima?

Accepted Answer

A)  0.768$^{\circ}$ 
B)  3.07$^{\circ}$ 
C)  0.307$^{\circ}$ 
D)  1.54$^{\circ}$ 
E)  0.154$^{\circ}$ 
A)  0.768$^{\circ}$ 
B)  3.07$^{\circ}$ 
C)  0.307$^{\circ}$ 
D)  1.54$^{\circ}$ 
E)  0.154$^{\circ}$

Question 10

If a laser printer prints at 600 dots per inch,what is their angular separation when viewed from 40 cm?

Accepted Answer

A)  4.2 $\times$ 10-5 rad 
B)  2.7 $\times$ 10-4 rad 
C)  1.1 $\times$ 10-4 rad 
D)  5.5 $\times$ 10-8 rad 
E)  3.7 $\times$ 10-3 rad 
A)  4.2 $\times$ 10-5 rad 
B)  2.7 $\times$ 10-4 rad 
C)  1.1 $\times$ 10-4 rad 
D)  5.5 $\times$ 10-8 rad 
E)  3.7 $\times$ 10-3 rad

Question 11

When scattering 3.28 Angstrom X-rays off a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.At what angle does the second maximum occur?

Accepted Answer

A)  51.3$^{\circ}$ 
B)  46.0$^{\circ}$ 
C)  34.5$^{\circ}$ 
D)  there is no second maximum. 
A)  51.3$^{\circ}$ 
B)  46.0$^{\circ}$ 
C)  34.5$^{\circ}$ 
D)  there is no second maximum.

Exam 25: Interference and Diffraction

What is the angular resolution of the eye at a wavelength of 500 nm for a pupil diameter of 2.8 mm?

A Young's double-slit experiment is performed and then repeated after moving the screen to triple the previous distance from the slit.What happens to the angular separation (as measured from the slits)of the 4th order maxima?

A single slit is opened in an opaque barrier.Light is shone through the slit and the diffraction pattern is observed.If the slit is decreased in size to half its original size,by what factor does the width of the central diffraction maximum change?

Substituting tan θ\thetaθ for sin θ\thetaθ results in what percent error for an angle of 5.00 ∘^{\circ}∘ ?

A holographic plate produces an image for the viewer that is:

A thin film of soapy water, n = 1.37, is held vertical.Light of wavelength 600 nm is reflected from the film and horizontal dark lines appear.What is the difference in thickness of the soap film from one band to the next?

In a double slit experiment,the intensity of the light reaching the center of he screen from one slit alone is I0 and intensity of the light reaching the center from the other slit alone is 9I0.When both slits are open,what is the intensity of the light at the minima nearest the center?

A grating is made with 600 slits per millimeter.What is the slit separation?

If light of wavelength 690 nm is used in a double-slit experiment with slit separation 0.206 mm,what angle separates the two 4th order maxima?

If a laser printer prints at 600 dots per inch,what is their angular separation when viewed from 40 cm?

When scattering 3.28 Angstrom X-rays off a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.At what angle does the second maximum occur?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

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Temperature and the Ideal Gas

Heat

Thermodynamics

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Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Relativity

Early Quantum Physics and the Photon

Quantum Physics

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Particle Physics

Filters

A Young's double-slit experiment is performed and then repeated after moving the screen to triple the previous distance from the slit.What happens to the angular separation (as measured from the slits)of the 4^th order maxima?

Substituting tan $\theta$ for sin $\theta$ results in what percent error for an angle of 5.00 $^{\circ}$ ?

In a double slit experiment,the intensity of the light reaching the center of he screen from one slit alone is I₀ and intensity of the light reaching the center from the other slit alone is 9I₀.When both slits are open,what is the intensity of the light at the minima nearest the center?

If light of wavelength 690 nm is used in a double-slit experiment with slit separation 0.206 mm,what angle separates the two 4^th order maxima?