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3 years ago

What is the frequency of a microwave with a wavelength of 3.52 mm?

Physics

2 answers:

AlekseyPX3 years ago

6 0

As per the question the wavelength of the microwave is given as 3.52 mm.

we are asked to calculate the frequency of the wave.

we know that microwave is a electromagnetic wave.

As per Clark Maxwell's electromagnetic theory ,every electromagnetic wave moves with a velocity equal to the velocity of light in vacuum and that is equal to 3×10^8 m/s.

From the equation of the wave,we know that velocity of wave is the product of frequency and wavelength.

Mathematically wave velocity $v=f*\lambda$ where f is the frequency of the wave and $\lambda$ is the wavelength.

As per the question $\lambda=3.52 mm$

$= 3.52*10^{-3} m$

Here $v=c=3*10^{8} m/s$

Hence frequency of the wave $f=\frac{v}{\lambda}$

$=\frac{3*10^{8} }{3.52*10^{-3} } s^{-1}$

$=0.852272727272*10^{11} Hz$

Here Hertz [Hz] is the unit of frequency.

Thepotemich [5.8K]3 years ago

5 0

A microwave with wavelength of 3.52 mm has a frequency of

8.522 x 10^10 Hz

<h2>Further Explanation </h2><h3>A wave </h3>

A wave is a transmission of a disturbance. It involves transmission of energy from one point which is the source to another point.
Waves may be classified depending on the need for a transmission medium or based on the vibration of particles relative to the direction of wave motion.

Waves may be either transverse or longitudinal based on the direction of wave motion relative to the vibration of particles
Additionally waves may be classified as either electromagnetic wave or mechanical based on the need for a transmission medium.

<h3>Electromagnetic waves </h3>

Electromagnetic waves are types of waves that do not require a material medium for transmission.

All waves of the electromagnetic spectrum are electromagnetic transverse waves that do not require a material medium for transmission.
They include; radio waves, microwaves, infrared, visible light, ultra-violet, x-rays, and gamma rays.
All waves of the electromagnetic spectrum travel with a speed of light, 3.0 x10^8 m/s.

Therefore, the speed of microwave is 3.0 x 10^8 m/s

<h3>Relationship between velocity, frequency, and wavelength of a wave. </h3>

Velocity, frequency and wavelength are related such that;

Velocity = frequency x wavelength

c = f x λ

Therefore; to get frequency;

f = c/λ

c = 3.0 x 10^8 m/s

λ = 3.52 mm or 3.52 x 10^-3 m

Thus;

f = (3.0 x 10^8 m/s)/(3.52 x 10^-3 m)

= 8.522 x 10^10 Hz

Therefore, the frequency of a microwave with a wavelength of 3.52 mm is 8.522 x 10^10 Hz .

keywords: Frequency, wavelength, electromagnetic wave, microwave.

<h3>Learn more about: </h3>

Electromagnetic waves: brainly.com/question/8773290
Electromagnetic spectrum: brainly.com/question/4210482
Microwaves: brainly.com/question/3435370
Velocity, speed and wavelength: brainly.com/question/11898955

Level: High school

Subject: Physics

Topic: Electromagnetic spectrum

Sub-topic: Frequency and wavelength

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