The frequency n of vibration of stretched string depends upon its length l, its mass per unit length m and Tension t in the string Obtain dimensionally an expression for frequency n. - 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!

The frequency n of vibration of stretched string depends upon its length l, its mass per unit length m and Tension t in the string Obtain dimensionally an expression for frequency n.

 Let the relation be:

Frequency v = KLafbmc

where k is a dimensionless constant

The dimension of each quantity are:

L=[M0L1To]

f=[M1L1T−2]

m=[M1L−1T0]

v=[M0L0T−1]

Thus now equating the dimension on both side of the equation:

[M0L0T−1]=[M0L1To]a[M1L1T−2]b[M1L−1T0]c

thus, b = 1/2

c = −1/2

a = −1

Thus, the formula for frequency is:

V = k/L √f/m

About the Author

Principal, Babu Daudayal SVM, Mathura

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.