Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The equation of a wave is given as $y = 0.07 \sin(12 \pi x - 3000 \pi t)$ . Where x is in meter and t in sec, then the correct statement is
Text Solution
Verified by ExpertsThe correct answer is:
A
Comparing the given equation with $y = a \sin(\omega t - kx)$
We get $\omega = 3000 \pi \Rightarrow n = \frac{\omega}{2 \pi} = 1500 \mathrm{Hz}$ and $k = \frac{2 \pi}{\lambda} = 12 \pi \Rightarrow \lambda = \frac{1}{6} \mathrm{m}$ So, $v = n \lambda \Rightarrow v = 1500 \times \frac{1}{6} = 250 \mathrm{m/s}$
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The equation of a wave is $y = 2 \sin \pi (0.5x - 200t)$ , where x and y are expressed in cm and t …
Equation of a progressive wave is given by
$y = 0.2 \cos \pi \left(0.04 t + .02 x - \frac{\pi}{6}\r…
A travelling wave passes a point of observation. At this point, the time interval between successiv…
The equation of a transverse wave is given by
$y = 10 \sin \pi (0.01 x - 2 t)$
where x and y are in…
At a moment in a progressive wave, the phase of a particle executing S.H.M. is $\frac{\pi}{3}$ . Th…
The equation of a wave travelling on a string is $y = 4 \sin \frac{\pi}{2} \left( 8t - \frac{x}{8} …