Answer
Verified
447k+ views
Hint: Frequency is the number of repeated events occurring per unit time. In terms of wavelength frequency is given as speed of light upon wavelength of light. By using this formula we can find the frequency of the visible light as wavelength is given and speed of light is a universal constant which we know.
Formula used:
\[f=\dfrac{c}{\lambda }\]
Complete answer:
The frequency is the number of waves passing at a particular interval of time. The frequency for the electromagnetic wave is given as
\[f=\dfrac{c}{\lambda }\]
The visible light lies in the electromagnetic spectra between the infrared region and the ultra-violet region and which is visible to the human eye and therefore it is named as visible light or visible region. Hence, we can calculate the frequency of the visible light by the above formula where c is the speed of light and its value is \[c=3\times {{10}^{8}}m/s\]
Substituting the value of λ
\[\begin{align}
& \lambda =6000 A^o \\
& \lambda =6000\times {{10}^{-10}}m \\
\end{align}\]
Then the frequency is given as
\[\begin{align}
& f=\dfrac{3\times {{10}^{8}}}{6000\times {{10}^{-10}}}Hz \\
& f=0.0005\times {{10}^{18}}Hz \\
& f=5\times {{10}^{14}}Hz \\
\end{align}\]
So, the correct answer is “Option D”.
Additional Information:
Electromagnetic spectrum is the spectrum or the range of frequency of electromagnetic radiation. The electromagnetic spectrum consists of gamma ray, X-ray, ultraviolet, visible light, infrared, microwaves and radio waves. This is ordered from high frequency (or low wavelength) to low frequency (or high wavelength.)
Note:
The unit should be changed before substituting, like here the wavelength was given in A.U. and we changed into metre. The wavelength is also given in nanometres. If we didn’t change the unit properly the answer will be wrong. In general, the frequency is given by the same formula but speed of light is changed with the velocity.
Formula used:
\[f=\dfrac{c}{\lambda }\]
Complete answer:
The frequency is the number of waves passing at a particular interval of time. The frequency for the electromagnetic wave is given as
\[f=\dfrac{c}{\lambda }\]
The visible light lies in the electromagnetic spectra between the infrared region and the ultra-violet region and which is visible to the human eye and therefore it is named as visible light or visible region. Hence, we can calculate the frequency of the visible light by the above formula where c is the speed of light and its value is \[c=3\times {{10}^{8}}m/s\]
Substituting the value of λ
\[\begin{align}
& \lambda =6000 A^o \\
& \lambda =6000\times {{10}^{-10}}m \\
\end{align}\]
Then the frequency is given as
\[\begin{align}
& f=\dfrac{3\times {{10}^{8}}}{6000\times {{10}^{-10}}}Hz \\
& f=0.0005\times {{10}^{18}}Hz \\
& f=5\times {{10}^{14}}Hz \\
\end{align}\]
So, the correct answer is “Option D”.
Additional Information:
Electromagnetic spectrum is the spectrum or the range of frequency of electromagnetic radiation. The electromagnetic spectrum consists of gamma ray, X-ray, ultraviolet, visible light, infrared, microwaves and radio waves. This is ordered from high frequency (or low wavelength) to low frequency (or high wavelength.)
Note:
The unit should be changed before substituting, like here the wavelength was given in A.U. and we changed into metre. The wavelength is also given in nanometres. If we didn’t change the unit properly the answer will be wrong. In general, the frequency is given by the same formula but speed of light is changed with the velocity.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE