The phase difference between two waves represented by

${y_1} = {10^{ - 6}}\sin [100\,t + (x/50) + 0.5]m$

${y_2} = {10^{ - 6}}\cos \,[100\,t + (x/50)]m$

where $ x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $ rad$

  • A$1.5$
  • B$1.07$
  • C$2.07$
  • D$0.5$
AIPMT 2004, 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
    The disc of a siren containing $60$ holes rotates at a constant speed of $360\,rpm$. The emitted sound is in unison with a tuning fork of frequency .... $Hz$
    View Solution
  • 2
    A second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The point where the string has to be plucked and touched are
    View Solution
  • 3
    A string under a tension of $129.6\,\, N$ produces $10\,\, beats /sec$  when it is vibrated along with a tuning fork. When the tension is the string is increased to $160\,\, N,$ it sounds in unison with same tuning fork. calculate fundamental freq. of tuning fork .... $Hz$
    View Solution
  • 4
    A steel rod $100 cm$ long is clamped at its mid-point. The funda-mental frequency of longitudinal vibrations of the rod is given to be $2.53 kHz$. What is the speed of sound in steel .... $km/s$
    View Solution
  • 5
    An organ pipe $40\,cm$ long is open at both ends. The speed of sound in air is $360\,ms ^{-1}$. The frequency of the second harmonic is $...........\,Hz$.
    View Solution
  • 6
    The equations of two waves acting in perpendicular directions are given as $x=a \cos (\omega t+\delta)$ and $y=a \cos (\omega t+\alpha)$, where $\delta=\alpha+\frac{\pi}{2}$, the resultant wave represents
    View Solution
  • 7
    The phenomenon of sound propagation in air is
    View Solution
  • 8
    Two engines pass each other moving in opposite directions with uniform speed of $30\,m/s$ . One of them is blowing a whistle of frequency $540\,Hz.$ Calculate the frequency heard by driver of second engine before they pass each other  ... $Hz$. Speed of sound is $330\,m/sec$
    View Solution
  • 9
    A motorcyclist is approaching a large wall with a velocity of $90\,km/hr$. A car is chasing him with a velocity of $108\,km/hr$. If the car sounds a horn at $30\,Hz,$ beat frequency heard by motorcyclist is ____ $Hz$ . Take velocity of sound $= 330\,m/s$ .
    View Solution
  • 10
    A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of lengths
    View Solution