The equation of a wave is given by (all quantity expressed in $m.k.s\ units$ ) $Y$ = $5\ sin10\pi $ $(t - 0.01x)$ along the $x-$ axis. The phase difference between the points separated by a distance of $10\ m$ along $x-$ axis is
A$\frac{\pi }{2}$
B$\pi $
C$2\pi $
D$\frac{\pi }{4}$
Medium
Download our app for free and get started
B$\pi $
b For the given wave, $k=0.1 \pi=\frac{2 \pi}{\lambda}$
$\Longrightarrow \lambda=20 m$
Thus phase difference between two points separated by $10 \mathrm{m}$ is $\frac{2 \pi}{\lambda}\left(x_{2}-x_{1}\right)$
$=\frac{2 \pi}{\lambda} \times 10 m=\pi$
Download our app
and 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.*
A source of sound $S$ having frequency $f.$ Wind is blowing from source to observer $O$ with velocity $u$. If speed of sound with respect to air is $C,$ the wavelength of sound detected by $O$ is:
A source is moving towards an observer with a speed of $20 m/s$ and having frequency of $240 Hz.$ The observer is now moving towards the source with a speed of $20 m/s$. Apparent frequency heard by observer, if velocity of sound is $340 m/s$, is ... $Hz$
${v_1}$ and ${v_2}$ are the velocities of sound at the same temperature in two monoatomic gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. If $\frac{\rho _1}{\rho _2} = \frac{1}{4}$ then the ratio of velocities ${v_1}$ and ${v_2}$ will be
A glass tube $1.5 m$ long and open at both ends, is immersed vertically in a water tank completely. A tuning fork of $660 Hz$ is vibrated and kept at the upper end of the tube and the tube is gradually raised out of water. The total number of resonances heard before the tube comes out of water, taking velocity of sound air $330 m/sec$ is
A policemen buzz a whistle of frequency $400\ Hz$. A car driver is approaching the policemen. The speed of car is $54\ kmh^{-1}$. The change in frequency experienced by the driver, when driver approaches the policemen and after he crosses the policemen, is ... $Hz$ [Velocity of sound is $350\ ms^{-1}$]
When an air column at $15\,^oC$ and a tunning fork are sounded together then $4$ beats per second are produced, the frequency of the fork is less then that of air column. When the temperature falls to $10\,^oC$ , then the beat frequency decreases by one. The frequency of the fork will be ..... $Hz$ $[V_{sound}$ at $0\,^oC = 332\,m/s]$
The number of possible natural oscillations of air column in a pipe closed at one end of length $85 \,\,cm$ whose frequencies lie below $1250\,\, Hz$ are (Velocity of sound $= 340 \,\,m s^{-1}$)
If the threshold of hearing is assumed to be the reference $(0\ dB)$ , then the threshold of pain is taken to be $120\ dB$ . Let the corresponding sound intensities be $I_0$ and $I$ respectively. Then $\frac{{{I_0}}}{I}$ is