Question

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

Answer 1

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.                      

                                             

Answer 2

A microwave with wavelength of 3.52 mm has a frequency of  

8.522 x 10^10 Hz

Further Explanation

A wave

• 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.

Electromagnetic waves  

• 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  

Relationship between velocity, frequency, and wavelength of a wave.

• 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.

Learn more about:

• 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