Waves Flashcards

1
Q

What is springs constant measured in

A

N/m

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2
Q

What is single harmonic motion

A

Displacement is proportional to and in the opposite direction to the acceleration

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3
Q

What direction is the restoring force

A

It is always opposite direction of the spring

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4
Q

At what point is the restoring force at it’d largest

A

At full length/ max extension

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5
Q

For the horizontal spring what equals eachother and derived it

A

T=F
-kx = ma (hookes and 2nd law)
a = d²x/dt² = -kx/m

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6
Q

How can hookes law be represented on a graph and where is the equilibrium

A

Sin/ cos
When y= 0

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7
Q

During hookes law what is force proportional too

A

Extention

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8
Q

When can SHM be observed on a mass on a string

A

When the surface is frictionless and If the spring is extended and released.

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9
Q

What will a mass oscillate around during SHM

A

Equilibrium y=o

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10
Q

The amplitude on a SHM graph at the displacement at the max or min

A

Maximum displacement

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11
Q

How can SHM and circular motion be linked

A

Through anglur frequency

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12
Q

Y=Asinwt is this natural or self made

A

Natural

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13
Q

Why is y=Asinwt natural

A

Because it is assumed that a vertical mass starts from equilibrium point and has a maximum amplitude and it moved on its own

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14
Q

What is the equation when we assume that the mass oscillates starting from a maximum amplitude A

A

y= Acoswt

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15
Q

Is y=Acoswt is self made or natural

A

Self-made

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16
Q

What is the period in relation too SMH

A

The period of SHM is the time taken to complete one oscillation

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17
Q

What is the frequency in relation too SHM

A

To the number of complete oscillation preformed per second

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18
Q

What are the two relationships needed too derive a relationship for velocity free from cos and sin.

A

V=dy/dt

sin²0+cos²0=1

Y=Asinwt

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19
Q

derive a relationship for velocity free from cos and sin

A

Differentiate y=Asinwt to get
V=Awcoswt
Make sin²wt+cos²wt=1 to get
coswt=square root of 1-sin²wt

Therefore v=+or- Aw squareroot 1-sin²wt

And we can arrange the original displacement equation to get
Y²/A²= sin²wt
Which would sub in to get
V=+or- Aw square root 1- y²/A²
Put over one fraction simplify and take our A

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20
Q

The simple harmonic graph of y against wt

A

Sin graph

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21
Q

The simple harmonic graph of y against wt. Where is the minimum velocity

A

At the maximum amplitude

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22
Q

The simple harmonic graph of y against wt, at what point at the velocity at a maximum

A

When y=0

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23
Q

How can we derive our linear equation for kinetic enegrry and the velocity equation for simple harmonic lotion

A

Sub v into the 1/2mv²

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24
Q

When velocity is at it’s maximum what is the knetic engery

A

It equals the total engery and meaning thr potential is zero

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25
Q

What happens to the 3ngery when y=+-A

A

All thr energy at potential energy at minimum velocity

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26
Q

What will happen to the kinetic enegery when it is oscillating

A

It will loose engery due to friction

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27
Q

What cause the fiction when a object is oscillating

A

Air
Rubbing

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28
Q

What happens to the amplitude of thr oscillation If the engery is decreasing

A

It will also decrease

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29
Q

What is damping in a system

A

It is described as the rate at which enegery is lost
Or
The rate at which the amplitude is decreasing

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30
Q

What is critical damping

A

It is the minimum amount of damping that completely eliminates the oscillation

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31
Q

What does a cental damping graph look like

A

A gradual cruve to 0

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32
Q

What is under damping

A

Is when the system returns to equilibrium quickly but overshoots and crosses the equilibrium position one or more times

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33
Q

What does the graph of under damping look like

A

The will curve under the t axis and yhrn back over until to reaches 0

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34
Q

What is over damping

A

It is when the system returns to equilibrium without oscillating. This will take longer to reach equilibrium than critical damping

35
Q

To get from the displacement graph of y=Acoswt and y=Asinwt to the velocity graph

A

Differentiate the graphs

36
Q

To get from the velocity graph of y=Awcoswt and y=-Awsinwt to the velocity graph

A

Differentiate the graphs again

37
Q

When is potential energy at is maximum

A

When the displacement is at + or - A

38
Q

When is potential engery at a minimum

A

When the displacement is equal to 0

39
Q

When is the knetic energy at I’d maximum

A

When the displacement is equal to zero

40
Q

When is the kinetic energy at its minimum

A

When the displacement is y=+or- A

41
Q

How to damp?

A

Increase surface area of mass
Add mass of a more viscous medium

42
Q

Waves

A

That transfer energy from one place to another at a particular speed

43
Q

What is the phase difference

A

Is measure of how much one point either leads or lags behind another point on a wave

44
Q

What is the phase difference measured in

A

Rad

45
Q

Phase derivation

A

X/wave = 0/2TT
0=2TTX/wave

46
Q

The travelling wave equation is positive or negative when going left to righ

A

Negative

47
Q

What is a travelling wave

A

It is a periodic disturbance where the energy is transferred from one point to another through vibration

48
Q

Greater the amplitude what happens to the engery

A

The greater engery

49
Q

A wave with twice the height will have

A

4 times the energy

50
Q

What is a coherent wave

A

Is ine which only emits one frequency and has a constant phase difference

51
Q

Two travelling waves are said to be

A

Coherent if there is a constant phase difference between them with a constant frequency

52
Q

Two travelling waves are said to be

A

Coherent if there is a constant phase difference between them with a constant frequency

53
Q

Destructive interference

A

Occurs when two coherent waves have a phase difference of TT
Thos occurs when the cake fir x is 1/2

54
Q

Constructive interference

A

Occurs when two coherent waves have a phase difference of 2TT
This occurs when the value of X is wavelength

55
Q

What optical path lengths are dependent

A

On the refractive index of the medium that wave are travelling through

56
Q

If two light waves are traveling different distances but through the same median what would be the formula

A

Opd=n(d1-d2)

57
Q

Gpd

A

Geometric path difference

58
Q

For two waves travelling the same distance but in different mediums

A

Opd=(nglass-nair)

59
Q

What is optical path difference

A

Occurs when two waves from the same coherent source take different routes to get to the detector. When they come back together they have a phase difference.

60
Q

When light travels from a low reflective index to high reflective index what is the phase difference

A

It changes by TT (landa /2 )

61
Q

When traveling from a low to high reflective index. What happens yo the crest

A

A crest becomes a trough on reflection

62
Q

What will happen to the crest when it reflects from a high to low refractive index

A

The crest will stay a crest on reflection

63
Q

What would after reflection from going from a high to low reflective index

A

The phase won’t change

64
Q

When both ends of a wave is fixed when will happen

A

It will reflect and interfere with itself

65
Q

What does it cause them waves interfere with itself and reflect

A

It is a result of a superposition

66
Q

What is a stationary wave

A

It is a result of two identical traveling waves traveling on opposite directions.

67
Q

What does the principle of superposition tell us

A

What happens if two or more waveforms overlap

68
Q

What are the different frequency when stationary waves act on

A

harmonics

69
Q

The frequency of harmonics is proportional to the

A

Number of half wavelength present

70
Q

L=1/2 wavelength what is f

A

1

71
Q

L=2/wavelength what does f equal

A

2

72
Q

What is a fixed system

A

This is a wave that interferes constructively with a reflection of itself.

73
Q

What are the set points on a stationary wave called

A

Nodes

74
Q

What are nodes

A

They are points of zero disturbance in a stationary wave

75
Q

What is an anti-node

A

Maximum disturbance

76
Q

What is the distance between node equal too

A

The half wavelength

77
Q

How are stationary waves made

A

They are formed by the interference of transmitted wave and reflected wave of a fixed system

78
Q

Where does constructive interferes ocu4

A

At antipodean maxima

79
Q

What will be greater rhe opd or the gpd

A

The opd because their is more lengthlwaves in through glass then in air

80
Q

N=c/vglas make it equal to wavelength glass

A

C=fwave
V=wave
Substite and rearrange
Waveglass= wave/n glass

81
Q

What would be the gpd of a ray if light in air

A

D/wavelength

82
Q

What is the opd equal to when going through the same medium but different distance

A

Opd=n(d1-d2)

83
Q

For two waves traveling the same distance but through different mediums the opd is

A

Opd = (n1-n2)d

84
Q

How is a stationary wave produced

A

Waves are reflected from each end and interfer