Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Fundamentals Of Physics
Found in: Page 1248

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Assume that lasers are available whose wavelengths can be precisely “tuned” to anywhere in the visible range—that is, in the range 450 nm<λ<650 nm . If every television channel occupies a bandwidth of 10 MHz, how many channels can be accommodated within this wavelength range?

There can be 2.1×107 channels accommodated within this wavelength range.

See the step by step solution

Step by Step Solution

Step 1: The given data:

a) Wavelength range of the visible region, 450 nm<λ<650 nm

b) Bandwidth of the television channel, Δf=10 MHz

Step 2: Understanding the concept of bandwidth frequency

Using the formula of energy due to Planck's relation, we can get the energy difference value of the states. Now, for the corresponding energy difference between the two states, we can consider the energy difference between the states of the hydrogen atom n = 1 and n = 2 to compare the difference value.


The frequency of a wave,

f=cλ ….. (1)

Here, λ is the wavelength.

Speed of light,c=3×108ms

Step 3: Calculation of accommodated channels within the visible region:

Let, the range of frequency of the microwave be f.

Then, the number of channels that could be accommodated within the range can be given as follow.

N=f10MeV =1107eV3×108 m/s450×10-9 m-3×108 m/s650×10-9m =6.7×107-4.6×107 =2.1×107 channels

N=21.0×106 channels =21.0 million channels

Hence, the number channels accommodated is 2.1×107.

Most popular questions for Physics Textbooks


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.