1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MA_775_DIABLO [31]
3 years ago
12

An fm radio station broadcasts at a frequency of 101.3 mhz. what is the wavelength?

Physics
2 answers:
dusya [7]3 years ago
7 0

The wavelength of the signal broadcast from the FM radio station is \boxed{2.96\,{\text{m}}}  or \boxed{3.0\,{\text{m}}}  .

Further Explanation:

The radio waves broadcasted by the FM radio station are the electromagnetic waves. The electromagnetic waves are the transverse waves which travel at the speed of light. The electromagnetic waves can also travel through the vacuum.

The frequency range for the radio waves varies from 30\,{\text{Hz}} - 300\,{\text{GHz}} . Due to their very high frequency, the radio waves can be easily transmitted over a long range and therefore they are used in the long range communication.

Given:

The frequency of the radio waves emitted by the FM broadcasting station is 101.3\,{\text{MHz}} .

Concept:

The wavelength of the wave having a particular frequency is given by the relation:

\boxed{\lambda=\frac{c}{f}}

Here,  \lambda is the wavelength of the radio wave, c  is the speed of light and f  is the frequency of the radio waves.

The speed of the electromagnetic wave is same as that of the speed of light and its value is 3\times{10^8}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}} .

Substitute the values of c  and f  in above expression.

\begin{aligned}\lambda&=\frac{{3\times{{10}^8}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}}{{101.3\,{\text{MHz}}\times\left({\frac{{{{10}^6}\,{\text{Hz}}}}{{1\,{\text{MHz}}}}}\right)}}\\&=\frac{{3\times{{10}^8}}}{{1.013\times{{10}^8}}}\,{\text{m}}\\&=2.{\text{96}}\,{\text{m}}\\\end{aligned}

Thus, the wavelength of the radio waves emitted by the FM broadcast station is \boxed{2.96\,{\text{m}}}  .

Learn More:

1. A radio station's channel, such as 100.7 fm or 92.3 fm, is actually <u>brainly.com/question/9527365 </u>

2. What is the threshold frequency ν0 of cesium <u>brainly.com/question/6953278 </u>

3. Calculate the wavelength of an electron (m = 9.11 × 10-28 g) moving at 3.66 × 106 m/s <u>brainly.com/question/1979815 </u>

<u> </u>

Answer Details:

Grade: College

Subject: Physics

Chapter: Electromagnetic waves

Keywords:

Frequency, broadcast wavelength, radio waves, frequency, 101.3 MHz, electromagnetic waves, 3x10^8 m/s, FM broadcast, speed of light.

sineoko [7]3 years ago
5 0

The formula is wavelength(meters) = 300 / frequency(MHz).

Take 300, divide by frequency, and you will have the wavelength.

You might be interested in
What is the ratios of sodium hydroxide
Katena32 [7]
Clarify what you mean by ratios?
8 0
3 years ago
HELPPPPPP PLEASEEEEEEE-
Alex787 [66]

Answer:

One piece has a north pole only, and the other piece has à soutn pole only.

Explanation:

mark me brainliest!!

8 0
2 years ago
Read 2 more answers
I need someone that has a course hero subscription to help me I need all the pages
SVETLANKA909090 [29]

Answer:

So what's the answer???

Explanation:

8 0
3 years ago
Which element's atoms have the greatest average number of neutrons ?
Mkey [24]
I am pretty sure this is uranium. it has 140 neutrons. 
6 0
3 years ago
Read 2 more answers
How much force is required to accelerate a 9.0-g object at 10000 g's?
Yuki888 [10]
Hey give us m = 9.0 g = 9.0 x 10-3 kg, and a = 10,000 "g's" = 98000 m/s/s so:F = ma = (9.0 x 10-3 kg)(98000 m/s/s) = 882 N = 880 N
6 0
3 years ago
Other questions:
  • Sound waves are actually a form of what kind of energy?
    11·2 answers
  • Constructive interference will cause two sound waves to cancel each other out resulting in silence
    6·1 answer
  • Physics (Electricity)
    8·2 answers
  • An object moves with velocity v(t)=t^2-8t+7
    9·1 answer
  • In a parallel portion of a series-parallel circuit, the voltage across the branches can be found by multiplying the sum of the b
    7·1 answer
  • Work is defined as the use of force to move an object in the direction of that force and is equal to the force times the distanc
    6·1 answer
  • ¿Qué es una vibración?
    11·1 answer
  • A skydiver falls out of a plane from rest, and experiences no air resistance. Eventually, this skydiver reaches a velocity of 33
    13·1 answer
  • How does work done on an object affect its kinetic energy
    9·1 answer
  • A 9-volt battery is used to power two lightbulbs in a series circuit. The first light bulb has a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!