Question 1

A wave is shown in the first image above. What is the frequency of this wave?

Accepted Answer

$$0.5\ \mathrm{Hz}$$

Question 2

Refer to the second image above. Which curve best represents the variation of wave speed $$V as a $$function of tension for transverse waves on a stretched string?

Accepted Answer

Curve B

Question 3

A mass oscillates on a spring as shown in the third image above. At the time indicated by the arrow, what is true about the force $$F_x$$ exerted by the spring?

Accepted Answer

The mass moves in the negative direction; $$F_x is$$ $$0.$$

Question 4

A 100-m string has a mass of $$55\ \mathrm{g}$$ and is held taut with a tension of $$75\ \mathrm{N}. $$What is the speed of waves on the string?

Accepted Answer

$$370\ \mathrm{m/s}$$

Question 5

A 2.00-m long piano wire with a mass per unit length of $$12.0\ \mathrm{g/m} is $$under a tension of $$8.00\ \mathrm{kN}. $$What is the frequency of the fundamental mode of vibration?

Accepted Answer

$$204\ \mathrm{Hz}$$

Question 6

A standing wave is oscillating at $$360\ \mathrm{Hz} on a $$string. If the distance between two adjacent nodes is $$0.5\ \mathrm{m}$$, what is the speed of traveling waves on this string?

Accepted Answer

$$140\ \mathrm{m/s}$$

Question 7

A pipe of length $$L is $$closed at one end and open at the other. The lowest frequency to resonate is $$200\ \mathrm{Hz}. $$Which of the following frequencies will NOT resonate in the same pipe?

Accepted Answer

$$400\ \mathrm{Hz}$$

Question 8

An object moves with simple harmonic motion. If the amplitude and the period are both doubled, the object's maximum speed is

Accepted Answer

unchanged

Question 9

A frictionless pendulum clock on Earth has a period of $$1.00\ \mathrm{s}. On a $$distant planet, the length of the pendulum must be shortened slightly to have a period of $$1.00\ \mathrm{s}. $$What is true about the acceleration due to gravity on the distant planet?

Accepted Answer

The gravitational acceleration on the planet is slightly less than $$g.$$

Question 10

A transverse wave is traveling on a string described by $$y = 0.0020 \cos[\pi(15x - 52t)]. $$What is the maximum speed of a particle of the string?

Accepted Answer

$$0.33\ \mathrm{m/s}$$

Question 11

A 6.00-m long rope is under a tension of $$600\ \mathrm{N}. $$Waves travel along this rope at $$40.0\ \mathrm{m/s}. $$What is the mass of the rope?

Accepted Answer

$$2.25\ \mathrm{kg}$$

Question 12

A woman is riding a bicycle at $$18.0\ \mathrm{m/s}$$ along a straight road parallel to railroad tracks. She hears a train whistle (emitted frequency $$840\ \mathrm{Hz}) at$$ $$778\ \mathrm{Hz}. If $$the speed of sound is $$340\ \mathrm{m/s}$$, what is the train’s speed?

Accepted Answer

$$7.67\ \mathrm{m/s}$$

Question 13

A pipe that is $$120\ \mathrm{cm}$$ long resonates at wavelengths $$480\ \mathrm{cm}$$, $$160\ \mathrm{cm}$$, and $$96\ \mathrm{cm}$$ but not at any longer wavelengths. This pipe is:

Accepted Answer

open at one end and closed at the other end

Question 14

A platinum wire $$1.20\ \mathrm{m}$$ long, radius $$0.500\ \mathrm{mm}$$, fixed at both ends, vibrates at $$512\ \mathrm{Hz} in $$its third harmonic. The density of platinum is $$2.14 	imes 10^4$\ \mathrm{kg/m^3$}. $$What is the tension in the wire?

Accepted Answer

$$2.82\ \mathrm{kN}$$

Question 15

A 1.30-m long gas column, open at one end and closed at the other, has a fundamental resonant frequency of $$80.0\ \mathrm{Hz}. $$What is the speed of sound in this gas?

Accepted Answer

$$416\ \mathrm{m/s}$$

Physics with Calculus Exam 1 Practice Guidance: Waves, SHM, and Electric Fields

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