9303753286127016 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.

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

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

Post a Comment

Previous Post Next Post