Waves 3 Flashcards

(50 cards)

1
Q

What is required for two-source interference in sound or water waves?

A

Coherent sources with the same wavelength and frequency

Coherent sources can be achieved by using the same oscillator to drive both sources.

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2
Q

How can two-source interference be demonstrated using light?

A

Using two coherent light sources or a single laser shining through two slits

This method is known as Young’s double-slit experiment.

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3
Q

What are the characteristics of laser light in the context of Young’s experiment?

A

Coherent and monochromatic

Monochromatic means there is only one wavelength present.

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4
Q

What is the significance of the size of the slits in Young’s double-slit experiment?

A

The slits must be about the same size as the wavelength of the laser light to cause diffraction

This allows the light from the slits to act like two coherent point sources.

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5
Q

What type of pattern is produced in Young’s double-slit experiment?

A

A pattern of light and dark fringes

This pattern results from constructive and destructive interference.

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6
Q

What does a path difference of 0 indicate in Young’s experiment?

A

Constructive interference resulting in a light fringe

A light fringe occurs when waves reinforce each other.

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7
Q

Who was the first person to conduct the double-slit experiment?

A

Thomas Young

Young initially used a lamp rather than a laser.

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8
Q

What equation did Thomas Young develop from his experiment?

A

An equation to calculate the wavelength of light

The formula is related to fringe spacing, slit spacing, and distance from slits to the screen.

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9
Q

How can fringe spacing be measured effectively?

A

Measure across several fringes and divide by the number of fringe spacings

This method reduces percentage error in the measurement.

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10
Q

What is the formula for fringe spacing in Young’s double-slit experiment?

A

Fringe spacing (x) = D / a

Where D is the distance from slits to screen and a is the spacing between slits.

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11
Q

What is the implication of a high ratio of D / a in Young’s experiment?

A

It is needed to make the fringe spacing large enough to see

This is due to the small wavelength of light.

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12
Q

What were the two main theories of light published towards the end of the 17th century?

A

Newton’s corpuscular theory and Huygens’ wave theory

Newton proposed light was made of particles, while Huygens suggested it was wave-based.

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13
Q

What unique properties of waves could not be explained by Newton’s corpuscular theory?

A

Diffraction and interference

These properties are crucial to establishing light’s wave nature.

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14
Q

What did Young’s double-slit experiment demonstrate about light?

A

That light can diffract and interfere

This provided evidence for the wave nature of light.

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15
Q

What happens to interference patterns when you diffract through more slits?

A

They get sharper, with brighter bands and darker areas in between.

This is due to more beams reinforcing the pattern.

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16
Q

What is the effect of using monochromatic light with a diffraction grating?

A

The interference pattern is very sharp due to many beams reinforcing the pattern.

Monochromatic light means light of one wavelength.

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17
Q

What is the zero order line in a diffraction pattern?

A

It is the line of maximum brightness at the center of the pattern.

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18
Q

What are the lines called that are just either side of the central zero order line?

A

First order lines.

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19
Q

What is the formula to calculate the wavelength of light using a diffraction grating?

A

d sin θ = nλ.

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20
Q

What does ‘n’ represent in the diffraction grating equation?

A

The order of maximum being observed.

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21
Q

If the slit separation, d, is larger, what happens to sin θ?

A

Sin θ is smaller.

22
Q

What does a larger wavelength do to the diffraction pattern?

A

It makes the pattern spread out more.

23
Q

What occurs when white light is diffracted through a grating?

A

It produces a spectrum with red on the outside and violet on the inside.

24
Q

Why do astronomers and chemists prefer diffraction gratings over prisms?

A

They are more accurate for studying spectra.

25
Fill in the blank: The distance between the maxima in a diffraction pattern can be easily measured using _______.
fringe width.
26
What is the relationship between the number of slits in a grating and the sharpness of the interference pattern?
More slits lead to a sharper interference pattern.
27
True or False: Values of sin θ greater than 1 are possible.
False.
28
What does a coarse grating do to the diffraction pattern?
It causes the pattern to spread out less.
29
What is the significance of the angle θ in the diffraction grating equation?
It is the angle between the maximum and the incident light.
30
What are second order lines in a diffraction pattern?
They are the next pair of lines outside the first order lines.
31
How can you calculate the angle θ for the first order fringe?
Using small angle approximations, tan θ = x/D.
32
What happens to the diffraction pattern if you obtain a sin θ value greater than 1?
It indicates that the order does not exist.
33
What are stationary waves?
Waves that do not transmit energy and appear to stand still.
34
How can you demonstrate stationary waves using a string?
By attaching a vibration transducer at one end of a stretched string and fixing the other end.
35
What happens when the wave frequency matches the resonant frequency?
The original and reflected waves reinforce each other, creating a stationary wave.
36
What are nodes in stationary waves?
Points where the amplitude of vibration is zero.
37
What are antinodes in stationary waves?
Points of maximum amplitude in the wave pattern.
38
What is the fundamental mode of vibration?
The lowest possible resonant frequency with one loop and nodes at each end.
39
How many half wavelengths fit on a string at the fundamental mode of vibration?
One half wavelength.
40
What is the third harmonic in terms of wavelengths on a string?
1.5 wavelengths fit on the string.
41
What type of stationary waves form on stringed instruments?
Transverse stationary waves.
42
What is the lowest resonant frequency in a closed-end wind instrument?
When the length of the pipe is a quarter wavelength.
43
What forms at the open ends of pipes in wind instruments?
Antinodes.
44
What is the resonant frequency in an open pipe?
When the length of the pipe is a half wavelength.
45
How can stationary waves be demonstrated using microwaves?
By reflecting microwaves off a metal plate to create interference.
46
What indicates a node when using a microwave receiver?
The meter will read a minimum value.
47
What indicates an antinode when using a microwave receiver?
The meter will show a maximum reading.
48
How can you measure the speed of sound using a closed-end pipe?
By finding the shortest distance where sound resonates in the tube.
49
What is the relationship between frequency, wavelength, and speed of sound?
v = f * λ.
50
What is the significance of the antinode's position in a closed-end pipe?
It forms slightly above the top of the tube, requiring an end correction.