Tamil Nadu Board of Secondary EducationHSC Science Class 11th

# Discuss the law of transverse vibrations in stretched strings. - Physics

Discuss the law of transverse vibrations in stretched strings.

#### Solution

There are three laws of transverse vibrations of stretched strings that are given as follows:

1. The law of length:
For a given wire with tension T (which is fixed) and mass per unit length µ (fixed) the frequency varies inversely with the vibrating length. Therefore,
"f" prop 1/l = "f" = "C"/l

⇒ l × f = C, where C is a constant

2. The law of tension:
For a given vibrating length l (fixed) and mass per unit length p, (fixed) the frequency varies directly with the square root of the tension T,
f = prop sqrt"T"
=> "f" = "A"sqrt"T", where A is a constant
3. The law of mass:
For a given vibrating length l (fixed) and tension T (fixed) the frequency varies inversely with the square root of the mass per unit length µ,
"f" prop 1/sqrtmu
=> "f" = "B"/sqrtmu, where B is a constant
Concept: Standing Waves
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