A standing wave is represented by

$Y = A\sin (100t)\cos (0.01x)$

where $Y$ and $A$ are in millimetre, $t$ is in seconds and $x$ is in metre. The velocity of wave is ..... $m/s$

  • A$10000$
  • B$1$
  • C${10^{ - 4}}$
  • D
    Not derivable from above data
AIPMT 1994, Easy
art

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.*

Similar Questions

  • 1
    Two cars are approaching each other at an equal speed of $7.2\, km / hr$. When they see each other, both blow horns having frequency of $676\, Hz$. The beat frequency heard by each driver will be $.....\, Hz$. [Velocity of sound in air is $340\,m / s .]$
    View Solution
  • 2
    Two sources of sound of same frequency are placed at a distance of $100\,m$ from each  other. An observer moving in between them hears $4$ beats per second. If the distance  between the sound sources is increased to $400\,m$, then number of beats heard by him will be :-
    View Solution
  • 3
    The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by .... $\%$
    View Solution
  • 4
    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
    View Solution
  • 5
    The displacement $y$ of a wave travelling in the x-direction is given by $y = {10^{ - 4}}\sin \,\,\left( {600t - 2x + \frac{\pi }{3}} \right)$ metres, where $x$ is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ..... $ms^{-1}$, is
    View Solution
  • 6
    Two similar sonometer wires given fundamental frequencies of $500Hz$. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce $5$ beats/sec .... $\%$
    View Solution
  • 7
    A source, approaching with speed $u$ towards the open end of a stationary pipe of length $L$, is emitting a sound of frequency $f_5$. The farther end of the pipe is closed. The speed of sound in air is $v$ and $f_0$ is the fundamental frequency of the pipe. For which of the following combination(s) of $u$ and $f_5$, will the sound reaching the pipe lead to a resonance?

    $(A)$ $u=0.8 v$ and $f_5=f_0$

    $(B)$ $u=0.8 v$ and $f_5=2 f_0$

    $(C)$ $u=0.8 v$ and $f_5=0.5 f_0$

    $(D)$ $u=0.5 v$ and $f_5=1.5 f_0$

    View Solution
  • 8
    A wire of $9.8 \times {10^{ - 3}}kg{m^{ - 1}}$ passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of $30°$ with the horizontal. Masses $m$ and $M$ are tied at the two ends of wire such that $m$ rests on the plane and $M$ hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of $100 ms^{-1}$. Chose the correct option $m =$ ..... $kg$
    View Solution
  • 9
    A uniform rope having some mass hanges vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed $(v)$ of the wave pulse varies with height $(h)$ from the lower end as:
    View Solution
  • 10
    Asufficiently long close organ pipe has a small hole at its bottom. Initially the pipe is empty. Water is poured into the pipe at a constant rate. The fundamental frequency of the air column in the pipe
    View Solution