A) \[{{10}^{2}}\,m/s\]
B) \[{{10}^{4}}\,m/s\]
C) 1 m/s
D) Not desirable
Correct Answer: B
Solution :
As, \[\operatorname{y}=A\,sin\,(100\,t)\,cos\,\left( 0.01\,x \right)\] Comparing it with standard equation \[y=A\,\sin \,\left( \frac{2\pi }{T}t \right)\,\cos \,\left( \frac{2\pi }{\lambda }x \right)\] We have, \[\operatorname{T}\,\,=\,\,\frac{\pi }{50},\,\,\lambda =200\,\pi \] Now, velocity of wave \[=\,\,\frac{\lambda }{T}\] \[=\,\,\frac{200\,\pi }{\pi /50}\] \[=\,\, 200 \times 50\] \[=\,\,{{10}^{4}}\,m/s\]
You need to login to perform this action.
You will be redirected in
3 sec
