Question

At t = 0, a transverse wave pulse, travelling in the positive x direction with a speed of 2 m/s in a wire is described by the function y = 6/x²where x ≠ 0. Transverse velocity of a particle at x = 2m and t = 2 second is :

• A. 3 m/s
• B.
  • 3 m/s
• C. 8 m/s
• D.
  • 8 m/s

Answer 1

Answer: (B)

• 3 m/s

Answer 2

As y(x, t = 0) = $\frac{6}{x^{2}}$

then y(x, t) = $\frac{6}{(x - 2t)^{2}}$

= $\frac{\partial y}{\partial t} = \frac{24}{(x - 2t)^{3}}$

at x = 2, t = 2

V_{y =} $\frac{24}{(2)^{3}}$ = - 3 m/s.