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Waves Flashcards

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1
Q

Define frequency and give its units.

A

`The number of waves passing through a point per second.
Hertz (Hz)

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2
Q

Define wavelength.

A

The distance between two adjacent peaks on a wave.

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3
Q

Define amplitude.

A

The maximum displacement of the wave from its equilibrium position.

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4
Q

How can you find out the time period of a wave using frequency?

A

T = 1/f

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5
Q

What is phase difference and what is it measured in?

A

How much a particle/ wave lags behind another particle/ wave. Measured in radians, degrees or fractions of a cycle

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6
Q

What is a longitudinal wave?

A

A wave in which the oscillation of the particles is parallel to the direction of energy transfer.

There are rarefaction (areas of low pressure) and compressions (areas of high pressure)

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7
Q

What is a transverse wave? Give examples.

A

Waves where the particle oscillations are perpendicular to the direction of energy transfer.
For example: electromagnetic waves

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8
Q

How fast do electromagnetic waves travel in a vacuum?

A

3 x 10^8 m/s

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9
Q

True or false? The magnetic field and electric field in an electromagnetic wave are parallel to each other.

A

False.
The electric and magnetic field are at right angles to each other.

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10
Q

What does a polarizing filter do?

A

Only allows oscillations in one plane

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11
Q

How is polarization used as evidence of the nature of transverse waves?

A

Polarization can only occur if a wave’s oscillations are perpendicular to its direction of travel (as they are in transverse waves)

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12
Q

How is polarization used in antennas?

A

TV and radio signals are usually plane-polarized by the orientation of the rods on the transmitting aerial, so the receiving aerial must be aligned in the same plane of polarization to receive the signal at full strength

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13
Q

what is a stationary wave?

A

A wave which transfers no energy and whose positions of maximum and minimum amplitude are constant.

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14
Q

What is a node?

A

A point on a stationary wave where the displacement is 0.

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15
Q

What is an antinode?

A

A point on a stationary wave with maximum displacement.

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16
Q

What are the conditions for a stationary wave to be produced?

A
  1. The waves must be of the same frequency, wavelength and amplitude.
  2. They must be travelling in opposite directions.

These conditions are often met when a wave is reflected back onto itself

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17
Q

How are stationary waves produced?

A

A stationary wave is formed from the superposition of 2 progressive waves, travelling in opposite directions in the same plane, with the same frequency, wavelength and amplitude.

  1. Where the waves meet in phase, consecutive interference occurs so antinodes (regions of maximum amplitude) form.
  2. Where the waves meet completely out of phase, destructive interference occurs and nodes (Regions of no displacement) form.
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18
Q

Describe the first harmonic for a stationary wave with two closed ends.

A

it consists of 2 nodes at either end and an antinode in the middle.

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19
Q

Describe the second harmonic for a stationary wave with one open end and one closed end.

A

it consists of two nodes and two antinodes, with one of the nodes at the closed end and one of the antinodes at the open end.

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20
Q

Define coherence.

A

Coherent waves have a fixed phase difference and the same frequency and wavelength.

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21
Q

Why is a laser useful in showing interference and diffraction?

A

it produces monochromatic(same wavelength/ color) light so diffraction and interference patterns are more defined.

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22
Q

What was Young’s double-slit experiment?

A

A single light source is directed towards two slits, which each act as a coherent light source, the light interferes constructively and destructively to create an interference pattern.

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23
Q

Describe the interference pattern created using white light.

A

A bright, white central maximum flanked by alternating spectral fringes of decreasing intensity with violet closest to the zero order and red furthest

24
Q

Why does an interference pattern form when light is passed through a single slit?

A

The light diffracts as it passes through the slit, where the waves are in phase constructive interference occurs making bright fringes and where the waves are completely out of phase destructive interference occurs making a dark fringe

25
Q

Increasing the slit width increases the width of the central diffraction maximum. True or False?

A

False, the slit is not so close to the wavelength in size, so less diffraction occurs- the central maximum becomes narrower and more intense.

26
Q

What is the approximate refractive index of air?

A

1

27
Q

When light enters a more optically dense medium does it bend towards or away from the normal?

A

Towards the normal

28
Q

When does total internal reflection occur?

A

when light is at a boundary to a less optically dense medium and the angle of incidence is greater than the critical angle

29
Q

What is the purpose of the cladding in a step index optical fibre?

A
  1. Protects core from scratches which would allow light to escape and degrade the signal
  2. Allows TIR as it has a lower refractive index than the core.
30
Q

How does signal degradation by absorption in an optical fiber affect the received signal?

A

Part of the signal’s energy is absorbed by the fiber so its amplitude is reduced.

31
Q

What is pulse broadening?

A

When the received signal is wider than the original, this can cause overlap of signals leading to information loss.

32
Q

How does modal dispersion cause pulse broadening?

A

Light rays enter the fiber at different angles so they take different paths along it, some may travel down the middle while others are reflected repeatedly, so the rays take different times to travel along the fiber, causing pulse broadening?

33
Q

What is material dispersion?

A

When light with different wavelengths is used some wavelengths slow down more than others in the fiber so they arrive at different times causing pulse broadening.

34
Q

How can modal dispersion be reduced?

A

Use a single mode fiber (very narrow fiber) so the possible difference in path lengths is smaller.

35
Q

How can material dispersion be reduced?

A

Use monochromatic light.

36
Q

How can both absorption and dispersion be reduced?

A

use an optical fiber repeater to generate the signal now and then.

37
Q

State the advantages of optical fibers over traditional copper wires.

A
  1. Signal can carry more information as light has a high frequency
  2. No energy lost as heat
  3. No electrical interference
  4. No electrical interference
  5. Cheaper
  6. Very fast
38
Q

What path does a light ray take when the angle of incidence is equal to the critical angle?

A

It goes along the boundary i.e. the angle of refraction is 90 degrees

39
Q

what formula can be used to find the critical angle for 2 materials whose refractive indices are known?

A

Sin C= n2/ n1 where n1 > n2
C = critical angle
n1= refractive index of material 1
n2 = refractive index of material 2

40
Q

What is the critical angle of a water to air boundary if water has a refractive index of 1.33?

A

Sin C = n2/n1| n2 = air=1|n1 = water = 1.33
C = sin^-1 (1/1.33)
C = 48.8

41
Q

Using Snell’s law of refraction, find the angle of refraction in a material with RI = 1.53 when the angle of incidence is 32 degrees from a material with RI = 1.23

A

n1 sin i = n2 sin r
1.23 sin 32 = 1.53 sin r
sin r = 1.23 sin 32/ 1.53
sin r = 0. 426
r = 25.2 degrees

42
Q

Glass has a refractive index of 1.5, water has a refractive index of `1.33, which is more optically dense?

A

Glass

43
Q

What formula is used to determine the refractive index of a material?

A

n = c / v
n = refractive index
c = speed of light in vacuum, 3 x 10 ^8 m/s
v = speed of light in material

44
Q

State 2 applications of diffraction gratings

A
  1. Splitting up light from stars to make line absorption spectra- used to identify elements present in the star.
  2. X-ray crystallography, a crystal sheet acts as the diffraction grating the X-rays pass through, used to find the spacing between atoms
45
Q

Derive the formula d sin theta = n (lambda)

A
  1. For the first order maximum, the path difference between two adjacent rays of light is 1 (lambda); the angle between the normal to the grating and the light ray is theta
  2. A right angled triangle is formed, with side lengths d and (lambda). The upper angle is theta ( the lower angle is 90 degrees)
  3. For the first maximum sin theta = ( lambda) / d, (sin theta = Opp/ Hyp) rearrange to d sin theta = (lambda)
  4. Other maxima occur when the path difference between the two rays of light is n(lambda), where n is an integer, replace (lambda) with n(lambda) to get: d sin theta = n(lambda)
46
Q

When light passing through a diffraction grating is changed from blue and red, do the orders get closer together?

A

The wavelength of light has increased so it will diffract more, the orders will become further apart.

47
Q

What is diffraction?

A

The spreading out of waves when they pass through or a around a gap.

48
Q

How did Young’s double slit experiment provide evidence for the wave nature of light?

A

Diffraction and interference are wave properties hence the interference pattern of light shows light has wave properties.

49
Q

What are 4 safety precautions that must be followed when using a laser?

A
  1. Wear laser safety goggles
  2. Don’t shine the laser at reflective surfaces
  3. Display a warning sign
  4. Never shine the laser at a person
50
Q

What formula is associated with Young’s double slit experiment?

A

w = [(lambda)D]/ s
w = fringe spacing
(lambda) = wavelength of light used
D = distance from screen to slits
s = slit separation

51
Q

The maxima formed by shining a laser through two slits are 0.04m apart, the slits are 0.2 mm apart and the distance from the slits to the screen is 15m, what is the wavelength of the light?

A

(lambda) = ws/D
= ( 0.04 x 0.2 x 10^-3) / 15
= 5.3 x 10 ^-7 m

52
Q

What is path difference?

A

The difference in distance travelled by 2 waves.

53
Q

how could one investigate stationary sound waves?

A

Place a speaker at one end of a closed glass tube, lay powder across the bottom of the tube, it will be shaken from the antinodes and settle at the nodes. The distance between each node is half a wavelength

54
Q

What is the frequency of the first harmonic of a string length 2m, mass 0.03 kg with a mass of 2kg hanging off it?

A

f = 1/2L [squareroot{ T/x’)
T= tension = 2 x 9.81 = 19.62N
x’ = mass/ unit length = 0.03/2 = 0. 015 kg/m
f = (1/4) x (sq. rt: 1962/ 0.015)
F = 9.0 Hz

55
Q

What is the speed of a wave with frequency 10 GHz and wavelength 6cm?

A

c = f/ (lambda)
c = (10 x 10^9) x (6 x 10^-2)
c = 6 x 10^8 m/s

56
Q

What is phase?

A

The position of a certain point on a wave cycle, (units are radians, degrees or fractions of a cycle).

57
Q

True or false:
‘ Only light can produce interference patterns’ .

A

False: interference patterns can be formed by would waves and all EM waves too.

PHYSICS (9 decks)

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