Question

A standing wave is represented by $Y = A\sin(100t)\cos(0.01x)$ where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of wave is

• A. $10^{4}m/s$
• B. $1m/s$
• C. $10^{- 4}m/s$
• D. Not derivable from above data

Answer 1

Answer: (A)

$10^{4}m/s$

Answer 2

By comparing given equation with $y = a\sin(\omega t)\cos kx$

⇒$v = \frac{\omega}{k} = \frac{100}{0.01} = 10^{4}m/s$