wave_mechanics progressive_waves Question 4
Question: The equation of a transverse wave is given by $ y=10\sin \pi (0.01x-2t) $ where x and y are in cm and t is in second. Its frequency is
[MP PET 1990; MNR 1986; RPET 2003]
Options:
A) $ 10{{\sec }^{-1}} $
B) $ 2{{\sec }^{-1}} $
C) $ 1{{\sec }^{-1}} $
D) $ 0.01{{\sec }^{-1}} $
Show Answer
Answer:
Correct Answer: C
Solution:
Comparing with the standard equation, $ y=A\sin \frac{2\pi }{\lambda }(vt-x) $ , we have $ v=200\ \text{m/s} $
$\ cm/\sec\ $, $\lambda =200$
$\text{ cm};\ $
$ \therefore $
$ n=\frac{v}{\lambda }=1 $
$ {{\sec }^{-1}} $
BETA
