NEET Physics Wave Mechanics NEET PYQ-Wave Mechanics

The equation of a wave is given by:                      [AIPMT 2001] \[y=a\sin \left( 100t-\frac{x}{10} \right),\] where x and y are in metre and t in second; then velocity of wave is:

A) 0.1 m/s

B)                  10 m/s

C) 100 m/s

D)                  1000 m/s

Correct Answer: D

Solution :

Key Idea: The standard wave equation is

\[y=a\sin \,(\omega t-kx)\]

The given wave equation is

\[y=a\sin \,\left( 100t-\frac{x}{10} \right)\]

Compare it with the standard wave equation, we obtain

\[\omega =100,\,k=\frac{1}{10}\]

Velocity of the wave,

\[v=\frac{\omega }{k}=\frac{100}{\frac{1}{10}}=100\times 10=1000\,m/s\]