/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.10 A wave has angular frequency 30 ... [FREE SOLUTION] | 91影视

91影视

A wave has angular frequency 30 rad/s and wavelength 2.0 m.

What are its (a) wave number and (b) wave speed?

Short Answer

Expert verified

The wavenumber of the wave is 3.14 rad/m.

The wave speed is 9.55 m/s.

Step by step solution

01

Given information:

The angular frequency of the wave == 30 rad/s

The wavelength of the wave == 2.0 m.

02

Calculating the wavenumber:

The formula to calculate the wavenumber is given by k=2

Substitute 2m for to calculate the wavenumber:

k=23.142m=3.14rad/m

Therefore, the wavenumber is 3.14 rad/m.

03

Calculating the wave speed:

The formula to calculate the frequency of the wave is f=2

Substitute 30 rad/s for to calculate the frequency of the wave.

f=30rad/s2=4.77Hz

The formula to calculate the wave speed( assuming to be a periodic wave) is given by

v=f

Substitute 2m for and 4.77 Hz for f into the above formula to calculate the wave speed.

v=2m4.77Hz=9.55m/s

Therefore, the wave speed is 9.55 m/s.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 90 km/h. What is the frequency heard by a. A person standing beside the road in front of the car? b. A person on the ground behind the car?

A loudspeaker, mounted on a tall pole, is engineered to emit 75% of its sound energy into the forward hemisphere, 25% toward the back. You measure an 85 dB sound intensity level when standing 3.5 m in front of and 2.5 m below the speaker. What is the speaker鈥檚 power output?

You have just been pulled over for running a red light, and

the police officer has informed you that the fine will be \(250. In

desperation, you suddenly recall an idea that your physics professor recently discussed in class. In your calmest voice, you tell the officer that the laws of physics prevented you from knowing that the light was red. In fact, as you drove toward it, the light was Doppler shifted to where it appeared green to you. 鈥淥K,鈥 says the officer, 鈥淭hen I鈥檒l ticket you for speeding. The fine is \)1 for every 1 km/h over the posted speed limit of 50 km/h.< How big is your fine? Use 650 nm as the wavelength of red light and 540 nm as the wavelength of green light.

LASIK eye surgery uses pulses of laser light to shave off tissue

from the cornea, reshaping it. A typical LASIK laser emits a

1.0-mm-diameter laser beam with a wavelength of 193 nm. Each

laser pulse lasts 15 ns and contains 1.0 mJ of light energy.

a. What is the power of one laser pulse?

b. During the very brief time of the pulse, what is the intensity

of the light wave?

The sun emits electromagnetic waves with a power of 4.0 * 1026 W. Determine the intensity of electromagnetic waves from the sun just outside the atmospheres of Venus, the earth, and Mars.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.