A sound wave of frequency $245 \,Hz$ travels with the speed of $300\, ms ^{-1}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6 \,cm$. What will be the mathematical expression of this travelling wave ?
JEE MAIN 2021, Diffcult
Download our app for free and get started
$\omega=2 \pi f$
$=1.5 \times 10^{3}$
$A=\frac{6}{2}=3 \,cm =0.03\, m$
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 string of length $L$ and mass $M$ hangs freely from a fixed point. Then the velocity of transverse waves along the string at a distance $x$ from the free end is
A steel wire with mass per unit length $7.0 \times 10^{-3}\,kg\,m ^{-1}$ is under tension of $70\,N$. The speed of transverse waves in the wire will be $.........m/s$
Two closed organ pipes of length $100\,cm$ and $101\,cm$ long give $16$ beats in $20\,sec$ when each pipe is sounded in fundamental mode. Calculate velocity of sound .... $ms^{-1}$
A wave travelling in the $+ve$ $x-$ direction having displacement along $y-$ direction as $1\,\, m,$ wavelength $2\pi\,\, m$ and frequency of $\frac{1}{\pi}$ $Hz$ is represented by
An organ pipe ${P_1}$ closed at one end vibrating in its first overtone and another pipe ${P_2}$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of ${P_1}$ and ${P_2}$ is
A whistle producing sound waves of frequencies $9500\ Hz$ and above is approaching a stationary person with speed $v\ ms^{-1}$. The velocity of sound in air is $300\ ms^{-1}$. If the person can hear frequencies upto a maximum of $10,000\ Hz$, the maximum value of $v$ upto which he can hear whistle is ... $ms^{-1}$