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American System Physics

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Representing Motion

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Accelerated Motion

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Forces in One Dimension

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Displacement and Force in Two Dimensions

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Motion in Two Dimensions

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Gravitation

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Rotational Motion

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Momentum and Its Conservation

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Energy and Its Conservation

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Thermal Energy

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States of Matter

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Vibrations and Waves

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Sound

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Fundamentals of Light

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Reflection and Refraction

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Interference and Diffraction

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Electrostatics

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Electric Current and Circuits

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Magnetic Fields

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Electromagnetic Induction and Electromagnetism

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Quantum Theory and the Atom

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Quiz

17.3 Diffraction Gratings and Applications – Quiz

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Diffraction Gratings and Applications American Physics quiz: free practice for American System Physics. Work through this Diffraction Gratings and Applications American Physics quiz and get instant feedback on every answer. If you get stuck, review the 17.3 Diffraction Gratings and Applications — Notes lesson. More practice: American System Physics — all units. Syllabus: OpenStax free science textbooks.

  • Questions count: 49
  • Passing grade: A-
  • Time limit:
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1.
From the measurements marked on the green-laser set-up, determine the laser wavelength.
Dr Dabour Hub Academy - figure 1
5.3 × 10⁻⁷ m
5.6 × 10⁻⁷ m
5.3 × 10⁻⁴ m
2.6 × 10⁻⁷ m
2.
The diagram shows a grating experiment with a red laser. What is the wavelength?
Dr Dabour Hub Academy - figure 2
6.9 × 10⁻⁷ m
6.6 × 10⁻⁷ m
1.3 × 10⁻⁶ m
3.3 × 10⁻⁷ m
3.
In the grating experiment shown, why should y be measured to the first-order spots on both sides and averaged?
Dr Dabour Hub Academy - figure 3
It doubles the wavelength
It makes the zero-order spot brighter
It reduces error if the grating is not exactly perpendicular to the beam
It removes the need to measure D
4.
For the set-up in the diagram, what is the highest order that the grating can produce with this laser?
Dr Dabour Hub Academy - figure 4
3
1
5
2
5.
Using the distances in the diagram, what is the angle θ between the zero-order and first-order directions?
Dr Dabour Hub Academy - figure 5
22.0 °
20.6 °
69.4 °
43.0 °
6.
Using the table, what is the wavelength of line X?
6.54 × 10⁻⁷ m
6.93 × 10⁻⁷ m
3.27 × 10⁻⁷ m
3.82 × 10⁻⁷ m
7.
Which line in the table has the shortest wavelength?
X
Z
Y
All lines have the same wavelength
8.
The table shows repeated readings of the first-order angle either side of the zero order. What is the best value of θ to use?
15.2°
14.8°
30.0°
15.0°
9.
In the table, left readings are always larger than right readings. What does this most likely indicate?
A systematic error, such as the grating not being exactly perpendicular to the beam
A random error from reading the scale
That the wavelength changed during the experiment
That the grating has more lines on one side
10.
Using the table, why is a grating preferred to a double slit for measuring wavelength?
It produces more maxima that are closer together
It does not need a coherent source or any measurement
Its maxima are sharp and bright at large angles, so angles can be measured with smaller percentage uncertainty
It gives broad maxima that are easier to see
11.
The table lists three colours sent through the same grating. Which colour has the largest first-order angle?
red
violet
green
all colours have the same angle
12.
Using the table, for which light is the highest order greater than 5?
B (600 nm)
A (450 nm)
C (750 nm)
None of them
13.
A diffraction grating has 250 lines per mm. What is the grating spacing d?
4.0 × 10⁻⁶ m
4.0 × 10⁻³ m
2.5 × 10⁵ m
4.0 × 10⁻⁵ m
14.
Blu-ray-style fine gratings can have 1200 lines in every millimetre. How far apart are neighbouring lines?
8.3 × 10⁻⁴ m
8.3 × 10⁻⁷ m
1.2 × 10⁶ m
8.3 × 10⁻⁶ m
15.
Laser light passing through a grating with 400 lines per mm produces first-order maxima at 13.9°. What is the wavelength?
6.8 × 10⁻⁷ m
6.0 × 10⁻⁴ m
3.0 × 10⁻⁷ m
6.0 × 10⁻⁷ m
16.
Calculate the second-order diffraction angle for 550 nm light and a 500 lines/mm grating.
33.4 °
16.0 °
0.550 °
66.7 °
17.
For light of wavelength 550 nm and a grating with 500 lines per mm, what is the highest order that can be observed?
4
3
2
0
18.
Using the same grating (500 lines/mm) and 550 nm light, how many bright maxima are visible in total, including the zero order?
3
6
7
9
19.
Why are the maxima from a diffraction grating much sharper than those from a double slit?
The grating refracts light more strongly
The grating uses brighter light
Light from many slits reinforces only at angles where d sin θ = mλ exactly, and cancels just away from them
The grating slits are wider
20.
What is the path difference between light from neighbouring slits of a grating at angle θ?
d cos θ
d tan θ
θ/d
d sin θ
21.
How do astronomers know a star is moving away from Earth?
Its spectral lines are shifted to longer wavelengths (redshift)
Its spectrum becomes continuous
Its lines move to shorter wavelengths
The zero order turns red
22.
White light passes through a grating. In the first-order spectrum, which colour is closest to the zero order?
red
violet
green
white
23.
What is the maximum order formula for a grating?
mmax = λ/d
mmax = d × λ
mmax = d/λ, rounded down to a whole number
mmax = 2d/λ + 1
24.
A student writes d = 300 for a grating of 300 lines per mm. What is wrong?
Nothing; d is the number of lines per mm
d should be 300 × 1000 = 3.0 × 10⁵ m
d should be 1/300 m
d is the spacing: it should be 1/(3.0 × 10⁵ m⁻¹) = 3.3 × 10⁻⁶ m
25.
A student calculates sin θ = 1.2 for the fourth order. What should they conclude?
The fourth order does not exist for this grating and wavelength
The angle is 72°
They should use tan θ instead
The fourth order is at 90°
26.
Which method would give the most precise value of a laser's wavelength using a grating?
Measure one first-order spot at a small D and use sin θ = y/D
Measure y for first- and second-order spots on both sides at a large D, find θ from tan θ = y/D, calculate λ for each order and average
Estimate the colour and look up the wavelength
Use a double slit with a small L
27.
In a grating experiment D is measured with a tape measure as 1.500 ± 0.005 m and y as 0.40 ± 0.01 m. Which measurement contributes the larger percentage uncertainty?
D (about 0.3%)
Both are equal
y (about 2.5%)
Neither has uncertainty
28.
How could the experiment be improved to reduce the uncertainty in y?
Use a smaller screen distance
Use a dimmer laser
Measure y only to the nearest cm
Increase D so the spots are further apart, and measure between the two first-order spots (2y)
29.
Which safety precaution is most important in the grating laser experiment?
Keep the beam below eye level and never look along it or at reflections
Wear heat-proof gloves
Use water to cool the grating
Stand directly behind the screen
30.
A spectrometer measures a line at 30.0° in second order with a grating of spacing 2.0 × 10⁻⁶ m. What is its wavelength?
1.0 × 10⁻⁶ m
5.0 × 10⁻⁷ m
2.5 × 10⁻⁷ m
1.7 × 10⁻⁶ m
31.
Light of wavelength 480 nm gives a first-order maximum at 16.7°. How many lines per mm does the grating have?
6.0 × 10⁵ lines/mm
167 lines/mm
599 lines/mm
0.35 lines/mm
32.
Two gratings, P (100 lines/mm) and Q (600 lines/mm), are used with the same laser. Which is correct?
P gives larger angles than Q
Both give the same angles
Q gives more orders than P
Q gives larger angles and fewer orders than P
33.
A grating with a spacing of 2.0 × 10⁻⁶ m has _____ lines per mm.
2000
50
500
5.0 × 10⁵
34.
In the grating equation d sin θ = mλ, the symbol m stands for the _____ of the maximum.
order
mass
magnification
number of slits
35.
An instrument that uses a grating to measure the angles of spectral lines precisely is a _____.
voltmeter
spectrometer
hologram
polarizer
36.
In the diagram, the student should use sin θ = y/D to find the angle. True or false?
Dr Dabour Hub Academy - figure 6
True, because y and D form the hypotenuse
True only for second-order spots
False, because the angle is always 90°
False, because tan θ = y/D; sin θ is then used in d sin θ = mλ
37.
From the diagram, the laser wavelength is about 680 nm. True or false?
Dr Dabour Hub Academy - figure 7
False, it is about 720 nm because λ = d × y/D
False, it is about 3.4 × 10⁻⁷ m
True
True only if the grating had 250 lines/mm
38.
If the grating in the diagram were replaced by one with more lines per mm, the first-order spots would move closer to the zero order. True or false?
Dr Dabour Hub Academy - figure 8
False, because smaller d gives larger angles, so the spots move further out
True, because more lines means smaller angles
True only for red light
False, because the spots would not move at all
39.
The lines in the table could be used to identify hydrogen in the light from a distant star. True or false?
False, because star light gives only continuous spectra
False, because gratings cannot be used on starlight
True
True only if the star is the Sun
40.
Using the mean angle of 15.0° from the table, the wavelength is about 6.5 × 10⁻⁷ m. True or false?
False, it is about 2.6 × 10⁻⁶ m
True
False, it is about 6.7 × 10⁻⁷ m because tan must be used
True only for second order
41.
According to the table, a grating produces more maxima than a double slit. True or false?
True, because it has more slits
True only in white light
False, because a grating gives no maxima
False, because a grating gives fewer, sharper maxima
42.
Red light of wavelength 650 nm shone on a grating with 600 lines per mm can produce a third-order maximum. True or false?
True, because every grating gives three orders
True only if the screen is large enough
False, because gratings give only one order
False, because 3λ/d would be greater than 1
43.
A diffraction grating deviates violet light more than red light, as a prism does. True or false?
True, because violet has the highest frequency
True only in second order
False, because a grating deviates red light most
False, because a grating does not separate colours
44.
The zero-order maximum is white when white light passes through a grating. True or false?
False, it is red
False, it is a full spectrum
True only for fine gratings
True
45.
A finer grating (more lines per mm) produces larger diffraction angles and fewer orders. True or false?
True
False, it gives smaller angles and more orders
False, line density has no effect
True only for red light
46.
The colours seen on a CD are produced because its closely spaced tracks act as a reflection grating. True or false?
False, the colours are due to pigments
True
False, they are caused by refraction in a prism
True only in sunlight
47.
A hologram records the interference pattern between light from an object and a reference beam. True or false?
False, a hologram is an ordinary photograph
False, holograms use refraction only
True only for black-and-white images
True
48.
Higher-order spectra from a grating with white light may overlap. True or false?
True
False, orders never overlap
True only for zero order
False, because each order is a single colour
49.
A hot, low-pressure gas produces a continuous spectrum when viewed through a grating. True or false?
True, all hot objects give continuous spectra
False, because it produces an emission line spectrum
True only for hydrogen
False, because gases emit no light
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