A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two sucessive crests in the wave is .... $m$
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The displacement y of a particle in a medium can be expressed as: $y = {10^{ - 6}}\sin (100t + 20x + \pi /4)m,$ where $t$ is in second and $x$ in meter. The speed of wave is ... $m/s$
A firecracker exploding on the surface of a lake is heard as two sounds a time interval $t$ apart by a man on a boat close to water surface. Sound travels with a speed $u$ in water and a speed $v$ in air. The distance from the exploding firecracker to the boat is
The 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 ...... $cm/sec$
Two persons $A$ and $B$, each carrying a source of sound of frequency $n$, are standing a few metres apart in a quiet field. $A$ starts moving towards $B$ with a speed $u$. If $v$ is the speed of sound, the number of beats heard per second by $A$ will be
On sounding tuning fork $A$ with another tuning fork $B$ of frequency $384 Hz, 6$ beats are produced per second. After loading the prongs of $A$ with some wax and then sounding it again with $B, 4$ beats are produced per second. What is the frequency of the tuning fork $A$ .... $Hz$
A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ..... $Hz$
In resonance tube two successive positions of resonance are obtained at $15 \,cm$ and $48 \,cm$. If the frequency of the fork is $500 \,cps$, the velocity of sound is ......... $m / s$