The wave described by $y=0.25 \,sin\left[ {10\pi x - 2\pi t} \right]$, where $x$ and $y$ are in meters and $t$ in seconds, is a wave travelling along the
AIPMT 2008, Medium
Download our app for free and get started
y $=0.25 \sin (10 \pi x-2 \pi t) $
$ y_{\max } $$=0.25 $
$k=\frac{2 \pi}{\lambda}=10 \pi \Rightarrow \lambda=0.2 \mathrm{m}$
$\omega=2 \pi f=2 \pi \Rightarrow f=1 \mathrm{Hz}$
The sign is negative inside the bracket. Therefore this wave travels in the positive $x -direction$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A wave disturbance in a medium is described by $y(x,\,t) = 0.02\cos \,\left( {50\,\pi t + \frac{\pi }{2}} \right)\cos (10\pi x)$, where $ x$ and $y$ are in metres and $t$ in secondsView Solution
- 2A student is performing the experiment of Resonance Column. The diameter of the column tube is $4$ $cm$. The frequency of the tuning fork is $512$ $Hz$. The air temperature is $38^o C$ in which the speed of sound is $336$ $m/s$. The zero of the meter scale coincides with the top end of the Resonance column tube. When the first resonance occurs, the reading of the water level in the column is ..... $cm$View Solution
- 3If $\vec{u}$ is instantaneous velocity of particle and $\vec{v}$ is velocity of wave, thenView Solution
- 4What is minimum length of a tube, open at both ends, that resonates with tuning fork of frequency $350 Hz$ ? [velocity of sound in air $= 350 m/s$] ..... $cm$View Solution
- 5An open tube is in resonance with string (frequency of vibration of tube is $n_0$). If tube is dipped in water so that $75\%$ of length of tube is inside water, then the ratio of the frequency of tube to string now will beView Solution
- 6View SolutionWhen a tuning fork vibrates, the waves produced in the fork are
- 7A source of sound emits $200\pi W$ power which is uniformly distributed over a sphere of $10 m$ radius. What is the loudness of sound on the surface of a sphereView Solution
- 8The equation of a wave is $y = 2\sin \pi (0.5x - 200t)$, where $x$ and $y$ are expressed in $cm$ and $t$ in $sec.$ The wave velocity is ...... $cm/sec$View Solution
- 9A source of sound is travelling with a velocity $40\, km/hour$ towards observer and emits sound of frequency $2000 Hz$. If velocity of sound is $1220 \,km/hour$, then what is the apparent frequency heard by an observer .... $Hz$View Solution
- 10A copper wire is held at the two ends by rigid supports. At $50^{\circ} C$ the wire is just taut, with negligible tension. If $Y=1.2 \times 10^{11} \,N / m ^2, \alpha=1.6 \times 10^{-5} /{ }^{\circ} C$ and $\rho=9.2 \times 10^3 \,kg / m ^3$, then the speed of transverse waves in this wire at $30^{\circ} C$ is .......... $m / s$View Solution