ExamBro
ExamBro
COMEDK · Physics · 16. Waves and Sound

The speed of transverse wave in aluminium wire is \(\dfrac{1}{10}\) times the speed of longitudinal wave in the wire. The stress in the wire is (Young's Modulus of \(Al = 10^{10}\) Pa)

  1. A \(10^7\ Pa\)
  2. B \(10\ Pa\)
  3. C \(10^8\ Pa\)
  4. D \(0.1\ Pa\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(10^8\ Pa\)

Step-by-step Solution

Detailed explanation

The speed of a transverse wave in a stretched wire is given by \(v_t = \sqrt{\dfrac{T}{\mu}} = \sqrt{\dfrac{T}{\rho A}} = \sqrt{\dfrac{\sigma}{\rho}}\), where \(T\) is the tension, \(\mu\) is the linear mass density, \(A\) is the cross-sectional area, \(\rho\) is the density,…