Home
Class 11
PHYSICS
In the wave equation, y = Asin(2pi)((x...

In the wave equation,
`y = Asin(2pi)((x)/(a) - (b)/(t))`

A

speed of wave is `a//b`

B

speed of wave is `b//a`

C

wavelength of wave is `a`

D

Time period of wave is `b`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`Speed of wave =("Coefficient of t")/("Coefficient of x")`
`=(1//b)/(1//a) = (a)/(b)`
`lambda = (2pi)/(k) = (2pi)/(2pi//a) = a`
`T=(2pi)/(omega) = (2pi)/(2pi//b)= b`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    DC PANDEY|Exercise Level 2 Subjective|7 Videos
  • WAVE MOTION

    DC PANDEY|Exercise Subjective Questions|2 Videos
  • WAVE MOTION

    DC PANDEY|Exercise Level 2 Single Correct|5 Videos
  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos
  • WORK, ENERGY & POWER

    DC PANDEY|Exercise Level 2 Comprehension Based|2 Videos

Similar Questions

Explore conceptually related problems

In the wave equation, y = Asin(2pi)/(a)(x-bt)

If the wave equation y= 0.08 sin (2 pi)/(lambda) (200t-x) then the velocity of the wave will be

Along a stretched string equation of transverse wave is y = 3 sin [2pi ((x)/(20)-(t)/(0.01))] Where, x, y are in cm and t is in second. Calculate wave velocity.

The equation of a progressive wave is given by, y = 3 sin pi ((t)/(0.02) - (x)/(20)) m . Then the frequency of the wave is

The equation of a progressive wave is given by, y = 5 sin pi ((t)/(0.02) - (x)/(20)) m, then the frequency of the wave is

The equation of a transverse wave in a stretched wire is given by, y = 2 sin [2pi((t)/(0.01) - (x)/(30))] Where t is in sec. and x & y are in cm. Find (a) amplitude (b) frequency (c ) wavelength and (d) speed of the wave

The equation of a progressive wave travelling on a strected string is y = 10 sin 2pi ((t)/(0.02) - (x)/(100)) where x and y are in cm and t is in sec. What is the speed of the wave?

The equation of a transverse wave along a stretched string is given by y = 15 sin 2pi ((t)/(0.04) - (x)/(40)) cm . The velocity of the wave is

The equation of a plane progressive wave is given by, y= 3sin pi (( t)/( 0.02) -(x)/( 20)) .The frequency of the wave is

A plane wave is described by the equation y=3 cos ((x)/(4)-10 t-(pi)/(2)) . The maximum velocity of the particles of the medium due to this wave is