JEE Main & Advanced
Physics
Wave Mechanics
Question Bank
Progressive Waves
question_answer
A wave travels in a medium according to the equation of displacement given by \[y(x,\,t)=0.03\sin \pi (2t-0.01x)\] where y and x are in metres and t in seconds. The wavelength of the wave is [EAMCET 1994; CPMT 2004]
A) 200 m
B) 100 m
C) 20 m
D) 10 m
Correct Answer:
A
Solution :
Comparing with \[y=(x,\,t)=a\sin (\omega \,t-kx)\] \[k=\frac{2\pi }{\lambda }=0.01\pi \]Þ l = 200 m.