Home
Class 11
PHYSICS
The displacement of a particle in a medi...

The displacement of a particle in a medium can be expressed as
`y=10^(-6)sin(100t+20x+pi//4),`
where x is in metre and t is in second. What is the speed of the wave?

Text Solution

Verified by Experts

Compare the given equation with the standard from `y=rsin(omegat+kx=phi_(0))`
`omega=100rad//s,k=20m^(-1)`
Speed of wave , `v=(omega)/(k)=(100)/(20)=5m//s`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise CURIOSITY QUESTION|2 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise SOLVED EXAMPLES|54 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

The displacement y of a partcle in a medium can be expressed as, y = 10^(-6) sin ((100t + 20x + (pi)/(4))m where t is in second and x in meter. The speed of the wave is

The displacement of particle in a medium can be expressed as y=10^(-6)sin(100t-20x+pi//4) m, where t is in seconds and x in meters. The speed of the wave is

The displacement y of a particle in a medium can be expressed as y = 10^(-4) sin (10 t + 2x + pi//4) where all quantities are in SI units. Find the speed of the wave.

The displacement of a particle of a string carrying a travelling wave is given by y=(4cm)sin2pi(0.5x-100t) , where x is in cm and t is in seconds. The speed of the wave is

The displacement y of a wave travelling in x direction is given by , y=10^(-1)sin(600t-2x+(pi)/(3))m where x is expressed in metres and t in seconds.The speed of the wave motion in metre per second is quad (in m/sec)]?

The displacement of a particle is given by y= 5 xx 10 ^(-4) sin (100 t-50 x) , where x is in meter and t in sec, find out the velocity of the wave

The equation of a progressive wave is y =4 sin (4 pi t-0.04 x+pi/3) where x is in metre and t is in second. The velocity of the wave is

The displacement of a particle executing S.H.M. is given by y = 10 sin [6t + (pi)/(3)] where y is in metres and t is in seconds. Then the initial displacement and velocity of the particle is

The displacement of a particle performing a S.H.M. is given by x=0.5 "sin" 100 pi (t + 0.05) , where x is in metres and t is in second. Its periodic time in second is