in young’s double slit experiment, fringe width observed is β. if the frequency of the source is tripled, then new fringe width will become - Padhle.Online
Students' favourite free learning app with LIVE online classes, instant doubt resolution, unlimited practice for classes 6-12, personalized study app for Maths, Science, Social Studies, video e-learning, online tutorial, and more. Download Now!

in young’s double slit experiment, fringe width observed is β. if the frequency of the source is tripled, then new fringe width will become

The formula that relates the fringe width with the wavelength of the source is given as,

⇒β=λD/d

So, we can notice that keeping the distance between the screen and the slits, that is, D and the distance between the slits, that is, d constant, the fringe width becomes directly proportional to the wavelength of the light. Therefore, we get,

⇒ β ∝ λ…… (1)

The formula that relates the frequency with the wavelength of the source is given by,

⇒ f = c/λ Where λ is the wavelength of the light, c is the speed of the light in air and f is the frequency of the light/source.

So, here, the speed of the light in air is constant, so, the frequency becomes inversely proportional to the wavelength of the light. Hence, we get,

⇒f ∝ 1/λ Hence we can write,

⇒ λ ∝ 1/f…… (2) Let us compare the equations (1) and (2), thus,

we get, ⇒ β ∝ 1/f

Finally, the relation between the fringe width and the frequency of the source is obtained. So, we can say that the fringe width and the frequency of the source are inversely proportional to each other. Now, we need to find the change in the fringe width when the frequency doubles.

⇒f′=3f

So in place of f′ we can write 1/β′

Hence we get, ⇒1/β′=3 x 1/β

On taking inverse, we get ⇒ β′ = β/3

About the Author

brings to you the BEST FACULTY for students of Class 9th - 12th. I (Balkishan Agrawal) aim at providing complete preparation for CBSE Board Exams (Maths) along with several other competitive examinations like NTSE, NSO, NSEJS, PRMO, etc. & Maths…

Post a Comment

Cookie Consent
We serve cookies on this site to analyze traffic, remember your preferences, and optimize your experience.
Oops!
It seems there is something wrong with your internet connection. Please connect to the internet and start browsing again.
AdBlock Detected!
We have detected that you are using adblocking plugin in your browser.
The revenue we earn by the advertisements is used to manage this website, we request you to whitelist our website in your adblocking plugin.
Site is Blocked
Sorry! This site is not available in your country.