The figure shows the shape of a part of a lon | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The velocity of a wave is given by the formula $v = \lambda f$.From the given graph,the distance between two consecutive crests or two consecutive

Vedclass · Accepted Answer

$1.0$

Vedclass · Answer

(A) The velocity of a wave is given by the formula $v = \lambda f$.From the given graph,the distance between two consecutive crests or two consecutive troughs represents the wavelength $\lambda$.The graph shows that one full wave cycle (from $0.1 \ cm$ to $0.5 \ cm$) corresponds to a distance of $0.4 \ cm$.Thus,the wavelength $\lambda = 0.4 \ cm = 0.4 	imes 10^{-2} \ m = 4 	imes 10^{-3} \ m$.The frequency $f$ is given as $250 \ Hz$.Substituting these values into the formula:$v = (4 	imes 10^{-3} \ m) 	imes (250 \ Hz)$$v = 1000 	imes 10^{-3} \ m/s$$v = 1.0 \ m/s$.

The figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of the string to a tuning fork of frequency $250 \ Hz$. What is the velocity of the waves in $ms^{-1}$?

Similar Questions

Two waves are represented by the equations, $y_1 = a \sin(\omega t + kx + 0.57)$ and $y_2 = a \cos(\omega t + kx)$, where $x$ is in metre and $t$ is in second. What is the phase difference between them? $(\pi = 3.14)$

The distance between two successive minima of a transverse wave is $2.7 \ m$. Five crests of the wave pass a given point along the direction of travel every $15.0 \ s$. The speed of the wave is (in $m \ s^{-1}$)

Write the definition of wave speed and derive $v = \frac{\omega}{k}$.

Two waves are represented by: $x_1 = A \sin \left(\omega t + \frac{\pi}{6}\right)$ and $x_2 = A \cos \omega t$. Then the phase difference between them is

The equation of a simple harmonic wave is given by $y = 3 \sin \frac{\pi}{2}(50t - x)$,where $x$ and $y$ are in metres and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is

Vedclass Test Series

Exam Paper Generator

Online Exam Module