QUESTION 8 A cord of length 2 meters and mass 400 grams has a weight of 250 gram

Question

QUESTION 8

A cord of length 2 meters and mass 400 grams has a weight of 250 grams suspended from one end. The wave speed of a wave traveling along the cord is

1.12 m/s

1.25 m/s

3.50 m/s

12.25 m/s

10 points   

QUESTION 9

A cord of length 4 meters has a wave speed of 12 m/s. if you observe a standing wave with two nodes the frequency of the wave is

3 Hz

1.5 Hz

6 Hz

12 Hz

10 points   

QUESTION 10

During the experiment you will increase the frequency to get more nodes on the standing wave, while keeping the tension constant. This will result in

A larger value for the wavelength

A smaller value for the wavelength

The same value for the wavelength

What's a wavelength?

10 points   

QUESTION 11

During the experiment you will increase the frequency to get more nodes on the standing wave, while keeping the tension constant. This will result in

A larger value for the wave speed

A smaller value for the wave speed

The same value for the wave speed

More information is needed to answer this question

10 points   

QUESTION 12

Assume you are building a guitar and you are limited by the physical size and strength of the instrument. That is, the length of the strings and the amount of tension you can use is fixed and constant for all the strings. How can you change the fundamental frequency of vibration of each string?

by changing the mass of the string

by using a larger amplitude

by using more force to pluck the string

by plucking the string faster (at a higher frequency)

1.12 m/s

1.25 m/s

3.50 m/s

12.25 m/s

Explanation / Answer

Number 8)

Apply v = sqrt(T/u)

v = sqrt[(.25)(9.8)(2)/(.4)]

v = 3.5 m/s (Choice C)

Number 9)

If it only has two nodes, it has one antinode, and that is half a wavelength in 4 m

Thus the total wavelength = 8 m

v = f(wavelentgh)

12 = f(8)

f = 1.5 Hz (Choice B)

Number 10)

Since v = sqrt(T/u) we can see it is independent of frequency

You are keeping tension and u (mass per unit length) identical

Thus v stays constant - Choice C

Number 11)

By v = sqrt(T/u) you can only adjust tension so much for the force on the guitar. Since u = mass/length and the length of the guitar isn't changed, you would have to change the mass of the string.

Choice A

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