Question

Two wires are producing fundamental nodes of same frequency. The change in which of the following factors of one wire does not produce beats between them :

• A. stretching force
• B. diameter of the wire
• C. material of the wire
• D. amplitude of the vibrations

Answer 1

Answer: (D)

amplitude of the vibrations

$v=\lambda \times f$

$v=\sqrt{\frac{T}{\mu }}$

$f\propto \sqrt{T}$

and also T would depend on diameter of the wire

$f\propto \frac{1}{\sqrt{\mu }}$

$\therefore$ amplitude of vibrations will not affect the frequency

$\Rightarrow$ change in amplitude of vibrations will not produce the beat