Special Relativity Flashcards

1
Q

Why was it assumed that light travelled through a medium

A

At the time, all other known waves such as sound and water travelled through a medium, so it was assumed that light did as well

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2
Q

What was the medium for light waves called

A

Luminiferous aether/ aether

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3
Q

What was the aim of the Michelson-Morley experiment

A

To use the difference in speeds of light to determine the absolute motion of the Earth relative to the aether and therefore prove the existence of the aether

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4
Q

What was the interferometer

A

A device consisting of two arms of identical lengths at right angles to each other, with mirrors at each end and a beam splitter at their intersection

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5
Q

What is a beam splitter

A

A semi-silvered mirror which allows some light to pass through and reflects some light

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6
Q

Why is a pane of glass used in the Michelson-Morley experiment

A

To ensure both beams of light travelled the same distance of glass and air
To make time a controlled variable
To obtain equal optical path lengths

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7
Q

What happened to the light when it reached the beam splitter

A

Some light was reflected and some was transmitted, forming two beams that were initially coherent

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8
Q

What does the observer see through the telescope in the Michelson-Morley experiment when the distances are equal

A

An interference pattern formed of concentric circles

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9
Q

Outline how the Michelson-Morley interferometer apparatus was used and state the result and its significance

A

Rotate the apparatus through 90 degrees.
Observe the fringes at the same time.
Observed fringes did not change or shift.
This means speed of light in free space is invariant and there is no aether

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10
Q

The interference fringe pattern did not shift when the apparatus was rotated by 90 degrees. Explain the significance of this null observation

A

Speed of light is invariant.
Rotation by 90 degrees realigns beams relative to direction of Earth’s motion.
No shift means no change in optical path difference between the 2 beams.
Time taken by light to travel to each mirror unchanged by rotation.
Distance to mirrors unchanged by rotation.
No shift means speed of light is unaffected

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11
Q

Einstein postulated that the speed of light in free space is invariant. Explain what is meant by this postulate

A

Speed of light does not depend on the motion of the light source or that of the observer

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12
Q

What conclusions were made from the null result of the Michelson-Morley experiment

A

The aether does not exist therefore light can travel without a medium
Speed of light is unchanged by the Earth’s motion - it is invariant

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13
Q

Explain why Michelson and Morley predicted the fringes in the interference pattern would shift when the interferometer was rotated 90 degrees

A

They predicted the speed of light depended on the motion of the Earth, relative to the aether.
Therefore, the time difference would change between the two beams when they were rotated.
So there would be a change in phase difference, shifting the fringes

PHASE DIFFERENCE, NOT PATH DIFFERENCE AS LENGTHS REMAIN THE SAME

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14
Q

What does invariance of light mean

A

When in a vacuum, the speed of light is always ‘c’ for evert observer

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15
Q

What is an inertial frame of reference

A

A reference frame that is non-accelerating.
All inertial reference frames are moving at constant velocity with respect to each other

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16
Q

What are Einstein’s two postulates of relativity

A

The laws of physics are the same in all inertial frames of reference
The speed of light in free space is invariant/ same in all inertial frames of reference

17
Q

What is t0 in time dilation equation

A

Proper time, measured in the same frame of reference as the event. This means they are stationary relative to the event.

E.g. Measuring the time taken to travel from Mars to Earth when you are on the spaceship would be T0 but if you were on Earth measuring the time, it would be T

18
Q

What is t in the time dilation equation

A

Dilated time, measured by an observer in a different frame of reference to the event

19
Q

What is l0 in length contraction equation

A

Proper length, the length measured by an observer at rest to the event

L<L0

20
Q

What is l in length contraction equation

A

Contracted length, the length measured by an observer moving relative to the event

21
Q

What is the evidence for time dilation and length contraction

A

Muon decay
Observer on Earth viewed muon’s half-life as longer (time dilation)
Muons’s reference frame views the distance needed to travel as shorter (length contraction)

22
Q

What is mass-energy equivalence

A

Mass can be converted into energy
Energy can be converted into mass
E = mc^2

23
Q

Examples of where mass is converted into energy or energy to mass

A

Fusion of hydrogen into helium in the centre of the Sun
Fission of Uranium in nuclear power plants
Nuclear weapons
High-energy particle collisions in particle accelerators

24
Q

What is mo

A

An objects proper mass, measured by an observer at rest relative to the object

25
Q

What happens to the mass of an object as its speed near the speed of light

A

Its mass gets larger and larger and vert close to the speed of light, the object’s mass tends towards an infinite mass

26
Q

Rest energy of an object in motion relative to an observer =

A

E0 = mo x C^2

27
Q

Kinetic energy of an object in motion with total energy E which is greater than its rest mass energy E0

A

Ek = mc^2 - moc^2

28
Q

What is Bertozzi’s experiment direct evidence for

A

The variation of kinetic energy with speed

29
Q

What did Bertozzi do

A

He accelerated electrons to speeds close to the speed of light and measured their KE.

30
Q

KE of electrons in Bertozzi’s experiment

A

eV

31
Q

How did Bertozzi calculate the KE of electrons

A

He measured the temperature change of the target and used E = mc x delta theta.
This energy change is equal to the total KE lost by incoming electrons