Question 1

An electromagnetic wave moves with the velocity of light,c = 3.0 * 108 m/s.If it has a wavelength of 1.5 * 10-6 m,what is its frequency?

Accepted Answer

A) 4.5 * 102 s 
B) 0.5 * 10-14 s 
C) 2 * 1014 s-1 
D) 4.5 * 10-2 s-1 
E) 1.5 * 10-2 s 
A) 4.5 * 102 s 
B) 0.5 * 10-14 s 
C) 2 * 1014 s-1 
D) 4.5 * 10-2 s-1 
E) 1.5 * 10-2 s C

Question 2

An 80 cm long string,fixed at both ends vibrates at a fundamental frequency of 450 Hz and has a mass per unit length of 5.51 * 10-4 kg/m.What is the tension in the string?

Accepted Answer

A) 200 N 
B) 191 N 
C) 320 N 
D) 231 N 
E) 286 N 
A) 200 N 
B) 191 N 
C) 320 N 
D) 231 N 
E) 286 N E

Question 3

A string of mass 3 g and length 1 m can carry a wave of 20 mW power.When a tension of 15 N is applied to the string it oscillates with a period of 40 ms.The amplitude of the wave is

Accepted Answer

A) 2.76 mm. 
B) 9.80 mm. 
C) 11.8 mm. 
D) 18.5 mm. 
E) 23.5 mm. 
A) 2.76 mm. 
B) 9.80 mm. 
C) 11.8 mm. 
D) 18.5 mm. 
E) 23.5 mm. A

Question 4

A wave of amplitude 30 cm travels with a velocity of 10 m/s and a wavelength of 0.25 m.What is its frequency?

Accepted Answer

A) 33 Hz 
B) 2.5 Hz 
C) 25 Hz 
D) 40 Hz 
E) 50 Hz 
A) 33 Hz 
B) 2.5 Hz 
C) 25 Hz 
D) 40 Hz 
E) 50 Hz

Question 5

A guitar string with a mass of 12 g is 80 cm long and attached to a guitar at two points separated by 71 cm.What tension must the guitar string have so that its fundamental note is 256 Hz?

Accepted Answer

A) 500 N 
B) 550 N 
C) 1100 N 
D) 2000 N 
E) 2200 N 
A) 500 N 
B) 550 N 
C) 1100 N 
D) 2000 N 
E) 2200 N

Question 6

A 10.0-m long string of mass 20.0 g is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates.What is the wavelength of the wave if it produces a standing wave with 2 antinodes?

Accepted Answer

A) 2.00 m 
B) 3.75 m 
C) 7.0 m 
D) 10.0 m 
E) 15.0 m 
A) 2.00 m 
B) 3.75 m 
C) 7.0 m 
D) 10.0 m 
E) 15.0 m

Question 7

The Sun emits light waves in all directions.When this light reaches the Earth,its intensity is 1350 W/m2.What is its intensity when it reaches Mars? The distance from the Sun to the Earth is 1.50 * 1011 m and the distance from the Sun to Mars is 2.28 * 1011m.

Accepted Answer

A) 584 W/m2 
B) 888 W/m2 
C) 2050 W/m2 
D) 3120 W/m2 
A) 584 W/m2 
B) 888 W/m2 
C) 2050 W/m2 
D) 3120 W/m2

Question 8

A violinist is trying to tune her instrument to 512 Hz,but it is at 491.By what percent does she have to change the tension to tune the violin?

Accepted Answer

A) 1.2% 
B) 4.1% 
C) 8.7% 
D) 12.1% 
E) 14.5% 
A) 1.2% 
B) 4.1% 
C) 8.7% 
D) 12.1% 
E) 14.5%

Question 9

A 5.00-m long string is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates and the speed of a wave on the string is 150 m/s.What is the mass of the string?

Accepted Answer

A) 3.5 g 
B) 15.7 g 
C) 23.3 g 
D) 36.7 g 
E) 44.4 g 
A) 3.5 g 
B) 15.7 g 
C) 23.3 g 
D) 36.7 g 
E) 44.4 g

Question 10

What is the radius of a brass wire having a wave speed of 225 m/s when stretched with a tension of 150 N? The density of brass is 8.60 * 103 kg/m3.

Accepted Answer

A) 0.750 mm 
B) 0.563 mm 
C) 0.412 mm 
D) 0.331 mm 
E) 0.287 mm 
A) 0.750 mm 
B) 0.563 mm 
C) 0.412 mm 
D) 0.331 mm 
E) 0.287 mm

Question 11

You are standing in the very center of a deep,flat-bottomed valley,and shout "Hello!" If the valley is 355 m wide,and the speed of sound is 343 m/s,when do you hear the first echo "Hello!"?

Accepted Answer

A) 1.03 s 
B) 0.517 s 
C) 1.93 s 
D) 0.966 s 
A) 1.03 s 
B) 0.517 s 
C) 1.93 s 
D) 0.966 s

Question 12

A string is 80.0 cm long and has a mass per unit length of 5.51 * 10-4 kg/m.The tension in the string is 200 N.In the fundamental mode,at what frequency does the string vibrate?

Accepted Answer

A) 376 Hz 
B) 450 Hz 
C) 598 Hz 
D) 702 Hz 
E) 964 Hz 
A) 376 Hz 
B) 450 Hz 
C) 598 Hz 
D) 702 Hz 
E) 964 Hz

Question 13

A string of mass 3 g and length 1 m can carry a wave of 20 mW power.The amplitude of the wave is 2.25 mm.What is the tension applied to the string if it oscillates with a period of 40 ms.

Accepted Answer

A) 38 N 
B) 34 N 
C) 41 N 
D) 20 N 
E) 44 N 
A) 38 N 
B) 34 N 
C) 41 N 
D) 20 N 
E) 44 N

Question 14

A 2-m string with a mass of 100 g has an applied tension of 100 N while it is plucked.How long does it take the resulting wave to go from one end of the string to the other?

Accepted Answer

A) 29 ms 
B) 121 ms 
C) 68 ms 
D) 45 ms 
E) 81 ms 
A) 29 ms 
B) 121 ms 
C) 68 ms 
D) 45 ms 
E) 81 ms

Question 15

A string is stretched between two fixed points and has a fundamental frequency of 100 Hz.If the tension is unchanged,then the frequency of the mode shown is

Accepted Answer

A) 100. 
B) 200. 
C) 300. 
D) 400. 
E) 800. 
A) 100. 
B) 200. 
C) 300. 
D) 400. 
E) 800.

Question 16

A rock is thrown into a pond and produces a series of waves.One meter away from the impact point the first wave is 3.0 cm high.How high will that wave be 2.0 m away from the impact point?

Accepted Answer

A) 0.75 cm 
B) 1.1 cm 
C) 1.5 cm 
D) 2.1 cm 
A) 0.75 cm 
B) 1.1 cm 
C) 1.5 cm 
D) 2.1 cm

Question 17

A 5.00-m long string of mass 10.0 g is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates and the speed of a wave on the string is 150 m/s.What is the frequency of the wave if it produces a standing wave with 4 antinodes?

Accepted Answer

A) 31 Hz 
B) 45 Hz 
C) 60 Hz 
D) 79 Hz 
E) 84 Hz 
A) 31 Hz 
B) 45 Hz 
C) 60 Hz 
D) 79 Hz 
E) 84 Hz

Question 18

A sonar generator on a ship produces a sound wave with a frequency of 2.45 MHz and a wavelength of 5.9 * 10-4 m.The generator is pointed straight down and emits a pulse.The echo of this pulse is received 5.08 s later.How deep is the ocean at this point?

Accepted Answer

A) 34.5 m 
B) 121 m 
C) 3670 m 
D) 8810 m 
E) 51,200 m 
A) 34.5 m 
B) 121 m 
C) 3670 m 
D) 8810 m 
E) 51,200 m

Question 19

A guitar string has a tension on it of 6500 N and length of 1.2 m.If the fundamental frequency of the string is 440 Hz,what is the linear mass density of the string?

Accepted Answer

A) 5.8 g/m 
B) 7.0 g/m 
C) 8.4 g/m 
D) 23 g/m 
E) Something else. 
A) 5.8 g/m 
B) 7.0 g/m 
C) 8.4 g/m 
D) 23 g/m 
E) Something else.

Question 20

The amplitude,angular frequency,and wave number of a transverse traveling wave are 4.00 m,12.0 rad/s,and 4.00 rad/m,respectively.At what speed does it transfer energy from place to place?

Accepted Answer

A) 0.333 m/s 
B) 3.00 m/s 
C) 16.0 m/s 
D) 48.0 m/s 
A) 0.333 m/s 
B) 3.00 m/s 
C) 16.0 m/s 
D) 48.0 m/s

Exam 15: Waves

An electromagnetic wave moves with the velocity of light,c = 3.0 * 108 m/s.If it has a wavelength of 1.5 * 10-6 m,what is its frequency?

An 80 cm long string,fixed at both ends vibrates at a fundamental frequency of 450 Hz and has a mass per unit length of 5.51 * 10-4 kg/m.What is the tension in the string?

A string of mass 3 g and length 1 m can carry a wave of 20 mW power.When a tension of 15 N is applied to the string it oscillates with a period of 40 ms.The amplitude of the wave is

A wave of amplitude 30 cm travels with a velocity of 10 m/s and a wavelength of 0.25 m.What is its frequency?

A guitar string with a mass of 12 g is 80 cm long and attached to a guitar at two points separated by 71 cm.What tension must the guitar string have so that its fundamental note is 256 Hz?

A 10.0-m long string of mass 20.0 g is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates.What is the wavelength of the wave if it produces a standing wave with 2 antinodes?

The Sun emits light waves in all directions.When this light reaches the Earth,its intensity is 1350 W/m2.What is its intensity when it reaches Mars? The distance from the Sun to the Earth is 1.50 * 1011 m and the distance from the Sun to Mars is 2.28 * 1011m.

A violinist is trying to tune her instrument to 512 Hz,but it is at 491.By what percent does she have to change the tension to tune the violin?

A 5.00-m long string is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates and the speed of a wave on the string is 150 m/s.What is the mass of the string?

What is the radius of a brass wire having a wave speed of 225 m/s when stretched with a tension of 150 N? The density of brass is 8.60 * 103 kg/m3.

You are standing in the very center of a deep,flat-bottomed valley,and shout "Hello!" If the valley is 355 m wide,and the speed of sound is 343 m/s,when do you hear the first echo "Hello!"?

A string is 80.0 cm long and has a mass per unit length of 5.51 * 10-4 kg/m.The tension in the string is 200 N.In the fundamental mode,at what frequency does the string vibrate?

A string of mass 3 g and length 1 m can carry a wave of 20 mW power.The amplitude of the wave is 2.25 mm.What is the tension applied to the string if it oscillates with a period of 40 ms.

A 2-m string with a mass of 100 g has an applied tension of 100 N while it is plucked.How long does it take the resulting wave to go from one end of the string to the other?

A string is stretched between two fixed points and has a fundamental frequency of 100 Hz.If the tension is unchanged,then the frequency of the mode shown is

A rock is thrown into a pond and produces a series of waves.One meter away from the impact point the first wave is 3.0 cm high.How high will that wave be 2.0 m away from the impact point?

A 5.00-m long string of mass 10.0 g is clamped at both ends.The tension in the string is 200 N.The string is pluck so that it oscillates and the speed of a wave on the string is 150 m/s.What is the frequency of the wave if it produces a standing wave with 4 antinodes?

A sonar generator on a ship produces a sound wave with a frequency of 2.45 MHz and a wavelength of 5.9 * 10-4 m.The generator is pointed straight down and emits a pulse.The echo of this pulse is received 5.08 s later.How deep is the ocean at this point?

A guitar string has a tension on it of 6500 N and length of 1.2 m.If the fundamental frequency of the string is 440 Hz,what is the linear mass density of the string?

The amplitude,angular frequency,and wave number of a transverse traveling wave are 4.00 m,12.0 rad/s,and 4.00 rad/m,respectively.At what speed does it transfer energy from place to place?

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Filters

An electromagnetic wave moves with the velocity of light,c = 3.0 * 10⁸ m/s.If it has a wavelength of 1.5 * 10^-6 m,what is its frequency?

An 80 cm long string,fixed at both ends vibrates at a fundamental frequency of 450 Hz and has a mass per unit length of 5.51 * 10^-4 kg/m.What is the tension in the string?

The Sun emits light waves in all directions.When this light reaches the Earth,its intensity is 1350 W/m².What is its intensity when it reaches Mars? The distance from the Sun to the Earth is 1.50 * 10¹¹ m and the distance from the Sun to Mars is 2.28 * 10¹¹m.

What is the radius of a brass wire having a wave speed of 225 m/s when stretched with a tension of 150 N? The density of brass is 8.60 * 10³ kg/m³.

A string is 80.0 cm long and has a mass per unit length of 5.51 * 10^-4 kg/m.The tension in the string is 200 N.In the fundamental mode,at what frequency does the string vibrate?

A sonar generator on a ship produces a sound wave with a frequency of 2.45 MHz and a wavelength of 5.9 * 10^-4 m.The generator is pointed straight down and emits a pulse.The echo of this pulse is received 5.08 s later.How deep is the ocean at this point?