A) A wave travelling in the positive X direction with a velocity of 1.5 m/sec
B) A wave travelling in the negative X direction with a velocity of 1.5 m/sec
C) A wave travelling in the negative X direction with a wavelength of 0.2 m
D) A wave travelling in the positive X direction with a wavelength of 0.2 m
Correct Answer: C
Solution :
Standard wave equation which travel in negative x-direction is \[y=A\sin (\omega \,t+kx+{{\varphi }_{0}})\] For the given wave \[\omega =2\pi n=15\pi ,\,\,k=\frac{2\pi }{\lambda }=10\pi \] Now\[v=\frac{\text{Co-efficient of }t}{\text{Co-efficient of }x}\] \[=\frac{\omega }{k}=\frac{15\pi }{10\pi }=1.5\]m/sec and \[\lambda =\frac{2\pi }{k}=\frac{2\pi }{10\pi }=0.2\]m.
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