
What is the frequency of blue light that has a wavelength of 463 nm?
Answer
442.5k+ views
Hint: We have to apply the relationship that exists between wavelength and frequency, where frequency and wavelength are inversely proportional to each other i.e. when wavelength increases frequency decreases and wavelength decreases and frequency increases.
Complete answer:
It is given in the question that wavelength () of blue light spectrum = 463 nm and speed of light (c) which is always constant =
Now, we have to find the frequency of the blue light as we know that blue light comes under the visible spectrum. Visible spectrum is a small part of the electromagnetic spectrum. So its wavelength lies between 400nm-750 nm and its frequency lies between .
Electromagnetic spectrum should contain various waves with shorter or small wavelengths and higher (Large) frequencies which include ultraviolet light rays, X-rays, and gamma rays. Electromagnetic waves also have longer wavelength waves and lower frequencies which includes infrared light, microwaves, and radio and television waves.
Under visible spectrum different colours are obtained they are Violet, Indigo, Blue, Green, Yellow, Orange and red. In these colours violet and indigo are not dominant to our eyes.
Since frequency of visible spectrum lies between .
Now we should apply the formula,
Here in this question speed is the speed of light in vacuum and air, distance is the wavelength and time is the time period of the wave.
Since, we know that
So, the equation can be rewritten as
Speed of light = wavelength frequency
Now according to the relation,
First, we need to convert nm into m (1nm= 10-9m)
So, 463nm we get converted to 463 10-9m
Put these values in above equation we get
So this is the required value of frequency of blue light. Now we can see that our answer lies in the given range of visible spectrum.
Note:
We must take care of the units as they may lead you to wrong answers. For the relationship told mathematically, if the speed of light is in m/s, the wavelength must be in meters and the frequency in Hertz Here (463 nm=463 10-9 m).Conversion of units will be done carefully.
Complete answer:
It is given in the question that wavelength () of blue light spectrum = 463 nm and speed of light (c) which is always constant =
Now, we have to find the frequency of the blue light as we know that blue light comes under the visible spectrum. Visible spectrum is a small part of the electromagnetic spectrum. So its wavelength lies between 400nm-750 nm and its frequency lies between
Electromagnetic spectrum should contain various waves with shorter or small wavelengths and higher (Large) frequencies which include ultraviolet light rays, X-rays, and gamma rays. Electromagnetic waves also have longer wavelength waves and lower frequencies which includes infrared light, microwaves, and radio and television waves.
Under visible spectrum different colours are obtained they are Violet, Indigo, Blue, Green, Yellow, Orange and red. In these colours violet and indigo are not dominant to our eyes.
Since frequency of visible spectrum lies between
Now we should apply the formula,
Here in this question speed is the speed of light in vacuum and air, distance is the wavelength and time is the time period of the wave.
Since, we know that
So, the equation can be rewritten as
Speed of light = wavelength frequency
Now according to the relation,
First, we need to convert nm into m (1nm= 10-9m)
So, 463nm we get converted to 463 10-9m
Put these values in above equation we get
So this is the required value of frequency of blue light. Now we can see that our answer lies in the given range of visible spectrum.
Note:
We must take care of the units as they may lead you to wrong answers. For the relationship told mathematically, if the speed of light is in m/s, the wavelength must be in meters and the frequency in Hertz Here (463 nm=463 10-9 m).Conversion of units will be done carefully.
Recently Updated Pages
Earth rotates from West to east ATrue BFalse class 6 social science CBSE

The easternmost longitude of India is A 97circ 25E class 6 social science CBSE

Write the given sentence in the passive voice Ann cant class 6 CBSE

Convert 1 foot into meters A030 meter B03048 meter-class-6-maths-CBSE

What is the LCM of 30 and 40 class 6 maths CBSE

What is history A The science that tries to understand class 6 social science CBSE

Trending doubts
Father of Indian ecology is a Prof R Misra b GS Puri class 12 biology CBSE

Who is considered as the Father of Ecology in India class 12 biology CBSE

Enzymes with heme as prosthetic group are a Catalase class 12 biology CBSE

A deep narrow valley with steep sides formed as a result class 12 biology CBSE

An orchid growing as an epiphyte on a mango tree is class 12 biology CBSE

Briefly mention the contribution of TH Morgan in g class 12 biology CBSE
