Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y=\left(10 \cos \pi x \sin \frac{2 \pi t}{T}\right)\, cm$

The amplitude of the particle at $x =\frac{4}{3} \,cm$ will be........ $cm$.

  • A$4$
  • B$9$
  • C$6$
  • D$5$
JEE MAIN 2022, Medium
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
    If two tuning forks $A$ and $B$ are sounded together, they produce $4$ beats per second. $A$ is then slightly loaded with wax, they produce $2$ beats when sounded again. The frequency of $A$ is $256.$ The frequency of $B$ will be
    View Solution
  • 2
     A small speaker delivers $2\, W$ of audio output. At what distance from the speaker will one detect $120\, dB$ intensity sound ... $cm$ ? [Given reference intensity of sound as $10^{-12}\,W/m^2$]
    View Solution
  • 3
    A tuning fork gives $4$ beats with $50 cm$ length of a sonometer wire. If the length of the wire is shortened by $1 cm$, the number of beats is still the same. The frequency of the fork is
    View Solution
  • 4
    Beats are the result of
    View Solution
  • 5
    The figure represents the instantaneous picture of a transverse harmonic wave traveling along the negative $x$-axis. Choose the correct alternative $(s)$ related to the movement of the nine points shown in the figure. The points moving upward is/are
    View Solution
  • 6
    An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas in $n$. The internal energy of one mole of the gas is $U_n$ and the speed of sound in the gas is $v_n$. At a fixed temperature and pressure, which of the following is the correct option?
    View Solution
  • 7
    A pulse or a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with
    View Solution
  • 8
    A sounding body of negligible dimension emitting a frequency of $150\,\, Hz$ is dropped from a height. During its fall under gravity it passes near a balloon moving up with a constant velocity of $2m/s$ one second after it started to fall.The difference in the frequency observed by the man in balloon just before and just after crossing the body will be : (Given that -velocity of sound $= 300m/s; g = 10m/s^2$)
    View Solution
  • 9
    The transverse displacement of a string (clamped at its both ends) is given by

    $y(x,t)\, = \,0.6\,\sin \,\left( {\frac{{2\pi }}{3}x} \right)\,\cos \,(120\,\pi t)$

    where $x$ and $y$ are in $metre$ and $t$ in $second$ . The length of the string is $1.5\,m$ and its mass is $3.0\times 10^{-2}\,kg$ the tension in the string will be .... $N$

    View Solution
  • 10
    When two sound sources of the same amplitude but of slightly different frequencies $v_1$ and $v_2$ are sounded simultaneously, the sound one hears has a frequency equal to
    View Solution