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The equation of the progressive wave, where $t$ is the time in second, $x$ is the distance in metre is $y=A \cos 240\left(t-\frac{x}{12}\right)$. The phase difference (in $SI$ units) between two positions $0.5 \,m$ apart is ...........
A tuning fork of frequency $100$ when sounded together with another tuning fork of unknown frequency produces $2$ beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency $100$ produces one beat, then the frequency of the other tuning fork is
A source of sound of frequency $256 Hz$ is moving rapidly towards a wall with a velocity of $5m/s$. The speed of sound is $330 m/s.$ If the observer is between the wall and the source, then beats per second heard will be .... $Hz$
A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
A tuning fork of frequency $480 Hz$ produces $10$ beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before ..... $Hz$
A wave is represented by the equation $y = 10 sin \,\,2\pi \,\,(100t-0.02x) + 10 \,\,sin \,\,2\pi\,\, (100t+0.02x)$. The maximum amplitude and loop length are respectively
When two progressive waves $\mathrm{y}_1=4 \sin (2 \mathrm{x}-6 \mathrm{t})$ and $\mathrm{y}_2=3 \sin \left(2 \mathrm{x}-6 \mathrm{t}-\frac{\pi}{2}\right)$ are superimposed, the amplitude of the resultant wave is
Two tuning forks have frequencies $450\, Hz$ and $454\, Hz$ respectively. On sounding these forks together, the time interval between successive maximum intensities will be .... $sec$
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 ... $ms^{-1}$