RP1: Stationary Waves On A String Flashcards

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1
Q

What is a stationary wave?

A

A wave that stores, but does not transfer, energy

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2
Q

How do stationary waves form on a piece of string?

A

Two waves with the same wavelength, travelling in opposite directions, interfere with each other. They undergo superposition and a stationary wave is formed

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3
Q

What is a node?

A

A point of no displacement on a standing wave

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4
Q

What is an antinode?

A

A point of maximum displacement on a standing wave

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5
Q

Describe the arrangement of nodes and antinodes when the string is vibrating at its fundamental frequency

A

One central antinode and a single node at each end

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6
Q

What piece of apparatus can be used to generate a wave in a piece of string?

A

A vibration generator driven by a signal generator

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7
Q

What piece of apparatus can be used to alter the length of string that is oscillating?

A

A bridge that can be moved along the length of the string

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8
Q

Why should the signal generator be operated for several minutes before use?

A

It needs time for the frequency to stabilise

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9
Q

In this experiment, the string is tied to a clamp stand. To carry out this experiment safely, what must you add to the stand?

A

A counterweight to stop the stand from toppling over

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10
Q

How does the length of the string affect the frequency of the first harmonic?

A

Inverse relationship - as string length increases, frequency decreases

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11
Q

How does the string’s mass per unit length affect the frequency of the first harmonic?

A

As mass per unit length increases, frequency decreases

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12
Q

How does the tension in the string affect the frequency of the first harmonic?

A

As tension increases, frequency increases

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13
Q

How can the tension in a string be varied?

A

By attaching a mass hanger to the end of it. As mass is added, tension increases

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14
Q

What safety precautions should be taken when using mass hangers?

A

Never stand directly underneath - if it falls it may cause injury. Place a padded bucket below

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15
Q

How can you measure the mass per unit length of a piece of string?

A

Measure the mass of the string using a balance and divide it by the string’s length

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16
Q

What is the advantage of using a long piece of string when measuring the mass per unit length?

A

The longer the piece of string, the lower the percentage uncertainty in the measurement

17
Q

Assuming all other factors remain constant, what is the effect of changing the frequency to double that of the first harmonic?

A

The string will resonate in its second harmonic

18
Q

What equation is used to determine the speed of a wave from its wavelength and frequency?

A

v = fλ

19
Q

When vibrating in its fundamental mode, what is the wavelength relative to the length of string?

A

λ = 2L

20
Q

When plotting a graph of 1/f against L for a wave’s fundamental frequency, how can the wave speed be determined?

A

2/gradient