The relation between time and displacement for two particles is given by

${y_1} = 0.06\sin 2\pi (1.04t + {\phi _1})$,

${y_2} = 0.03\sin 2\pi (1.04t + {\phi _2})$

The ratio of the intensity of the waves produced by the vibrations of the two particles will be

  • A$2:1$
  • B$1:2$
  • C$4:1$
  • D$1:4$
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
    In a closed organ pipe of length $105 \,cm$, standing waves are set up corresponding to third overtone. What distance from the closed end, a pressure node is formed .............. $cm$
    View Solution
  • 2
    The intensity ratio of two waves is $1 : 16$. The ratio of their amplitudes is
    View Solution
  • 3
    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
  • 4
    Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is
    View Solution
  • 5
    Doppler's effect will not be applicable when the velocity of sound source is
    View Solution
  • 6
    The relation between frequency $‘n’$ wavelength ‘$\lambda$’ and velocity of propagation $‘v’$ of wave is
    View Solution
  • 7
    A transverse wave is passing through a stretched string with a speed of $20\  m/s.$ The tension in the string is $20\  N$. At a certain point $P$ on the string, it is observed that energy is being transferred at a rate of $40 \ mW$ at a given instant. Find the speed of point $P$.
    View Solution
  • 8
    A standing wave in a pipe with a length $L=1.2 \,m$ is described by $y(x, t)=y_0 \sin [(2 \pi / L) x] \sin [(2 \pi / L) x+\pi / 4]$ based on above information, which one of the following statement is incorrect? (Speed of sound in air is $300 \,ms ^{-1}$ )
    View Solution
  • 9
    Two trains $A$ and $B$ are moving with speeds $20 \mathrm{~m} / \mathrm{s}$ and $30 \mathrm{~m} / \mathrm{s}$ respectively in the same direction on the same straight track, with $B$ ahead of $A$. The engines are at the front ends. The engine of train  $A$ blows a long whistle.

    Assume that the sound of the whistle is composed of components varying in frequency from $f_1=800 \mathrm{~Hz}$ to $f_2=1120 \mathrm{~Hz}$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $320 \mathrm{~Hz}$. The speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$.

    $1.$  The speed of sound of the whistle is

    $(A)$ $340 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $310 \mathrm{~m} / \mathrm{s}$ for passengers in $B$

    $(B)$ $360 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $310 \mathrm{~m} / \mathrm{s}$ for passengers in $B$

    $(C)$ $310 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $360 \mathrm{~m} / \mathrm{s}$ for passengers in $B$

    $(D)$ $340 \mathrm{~m} / \mathrm{s}$ for passengers in both the trains

    $2.$  The distribution of the sound intensity of the whistle as observed by the passengers in train $\mathrm{A}$ is best represented by

    $Image$

    $3.$  The spread of frequency as observed by the passengers in train $B$ is

    $(A)$ $310 \mathrm{~Hz}$ $(B)$ $330 \mathrm{~Hz}$ $(C)$ $350 \mathrm{~Hz}$ $(D)$ $290 \mathrm{~Hz}$

    Give the answer question $1,2$ and $3.$

    View Solution
  • 10
    A motorcyclist going around a circular track of radius $50\  m$ with a speed of $25\ m/s$ ,  is  at a point $X$. A static siren at $Y$ is emitting sound of frequency $n$. How many times (approximately) in an hour will the motor cyclist hear the sound of actual frequency $Y$ ?
    View Solution