In the wave equation $y =0.5 \sin \frac{2 \pi}{\lambda}(400 t - x )\,m$  the velocity of the wave will be ......... $m / s$
  • A$200$
  • B$200 \sqrt{2}$
  • C$400$
  • D$400 \sqrt{2}$
JEE MAIN 2022, 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
    A narrow tube is bent in the form of a circle of radius $R,$ as shown in the figure. Two small holes $S$ and $D$ are made in the tube at the positions right angle to each other. A source placed at $S$ generated a wave of intensity $I_0$ which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point $D$ where a detector is placed The maximum value of $\lambda$ to produce a minima at $D$ is given by 
    View Solution
  • 2
    The two interfering waves have intensities in the ratio $9 : 4$. The ratio of intensities of maxima and minima in the interference pattern will be
    View Solution
  • 3
    Two waves of intensity ratio $1: 9$ cross each other at a point. The resultant intensities at the point, when $I_1(a)$ Waves are incoherent is $I_1(b)$ Waves are coherent is $I_2$ and differ in phase by $60^{\circ}$. If $\frac{I_1}{I_2}=\frac{10}{x}$ than $x$ =. . . . . . . . . . .
    View Solution
  • 4
    A string is stretched between two fixed points separated by $75\,cm$ . It is observed to have resonant frequencies of $420\,Hz$ and $315\,Hz$ . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is  ..... $Hz$
    View Solution
  • 5
    Unlike a laboratory sonometer, a stringed instrument is seldom plucked in the middle. Supposing a sitar string is plucked at about $\frac{1}{4}$th of its length from the end. The most prominent harmonic would be
    View Solution
  • 6
    One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the  length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it  vibrates in resonance in its simplest standing-wave vibration state. Determine the  relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
    View Solution
  • 7
    Two loudspeakers $L_1$ and $L_2$ driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at $D$ records a series of maxima and minima. If the speed of sound is $330\,ms^{-1}$ then the frequency at which the first maximum is observed is .... $Hz$
    View Solution
  • 8
    Two tuning forks $A\,\, \& \,\,B$ produce notes of frequencies $256 Hz \,\,\& \,\,262 Hz$ respectively. An unknown note sounded at the same time as $A$ produces beats . When the same note is sounded with $B$, beat frequency is twice as large . The unknown frequency could be  ... $Hz$
    View Solution
  • 9
    A wave of frequency $100 Hz$ is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of $10 cm$ from the fixed end of the string. The speed of incident (and reflected) wave are .... $m/s$
    View Solution
  • 10
    The equation of a wave disturbance is given as : $y = 0.02 cos \left( {\frac{\pi }{2} + 50\pi t} \right) cos (10 x),$ where $x$ and $y$ are in meters and $t$ in seconds. Choose the wrong statement:
    View Solution