Practice Frequency in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The number of complete wave cycles passing a fixed point per second, measured in hertz (Hz).

How many times something vibrates per second—high frequency means very rapid vibration.

Showing a random 20 of 102 problems.

Example 1

easy

A guitar string vibrates at

G_4 = 196 \text{ Hz}

. How long does one full vibration take?

Example 2

medium

A radio wave has frequency

500 \text{ kHz}

. Find its wavelength. Use

c = 3 \times 10^8 \text{ m/s}

Example 3

challenge

A wave's frequency and wavelength are measured as 20 Hz and 1.5 m in medium A. In medium B, the wavelength is 2.4 m at the same frequency. Find the speeds in both media and their ratio.

Example 4

medium

What is the angular frequency

\omega

of a wave with frequency

10 \text{ Hz}

Example 5

easy

Frequency has units of cycles per ___?

Example 6

challenge

A wave has frequency 50 Hz. In 0.5 s, how many complete wavelengths pass a point, and if each wavelength is 0.6 m, what distance does the wave travel?

Example 7

medium

A guitar string vibrates at a fundamental frequency of

330 \text{ Hz}

. What are the frequencies of the second and third harmonics? If the string length is

0.65 \text{ m}

, what is the wavelength of the fundamental?

Example 8

challenge

Two trains approach each other, each at

30 \text{ m/s}

. One sounds a horn at

500 \text{ Hz}

. What frequency does the listener on the other train hear? Use

v_{\text{sound}} = 343 \text{ m/s}

Example 9

easy

Does higher frequency always mean a faster wave in a given medium?

Example 10

medium

A sonar pulse has frequency

25\text{ kHz}

in water where sound travels at

1500\text{ m/s}

. Find its wavelength.

Example 11

hard

A radar emits microwaves at

10\text{ GHz}

. Find the wavelength in cm. Use

c = 3\times 10^8\text{ m/s}

Example 12

easy

A speaker cone vibrates 440 times each second. State its frequency.

Example 13

medium

A clock's quartz crystal oscillates at

32{,}768\text{ Hz}

. How long is one oscillation, in microseconds?

Example 14

hard

A string of length

0.5\text{ m}

fixed at both ends has wave speed

200\text{ m/s}

. Find the fundamental frequency.

Example 15

medium

Two waves move through the same string. Wave A has

f = 10\text{ Hz}

, wave B has

f = 40\text{ Hz}

. Which has the shorter wavelength?

Example 16

hard

Two tuning forks of frequencies

440 \text{ Hz}

and

444 \text{ Hz}

are sounded together. What is the beat frequency heard?

Example 17

medium

Two notes are produced: one at 200 Hz and one at 800 Hz. Which has the shorter period, and by what factor?

Example 18

easy

Convert

1 \text{ kHz}

to hertz.

Example 19

easy

A speaker vibrates 1000 times per second. What is its frequency?

Example 20

medium

A mass-spring system has

k = 250 \text{ N/m}

and

m = 0.4 \text{ kg}

. What is its oscillation frequency?

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Related Concepts

Waves Wavelength Period