Home
Class 12
PHYSICS
The equation y=A cos^(2) (2pi nt -2 pi (...

The equation `y=A cos^(2) (2pi nt -2 pi (x)/(lambda))` represents a wave with

A

amplitude a, frequency n and wavelength `lambda`

B

amplitude a, frequency 2n and wavelength `2lambda`

C

amplitude `a/2` , frequency 2n and wavelenght `lambda`

D

amplitude `a/2` frequency 2n and wavelength `(lambda)/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MOTION|Exercise EXERCISE -2 (Level -II) (Multiple correct JEE Advanced)|14 Videos
  • WAVES

    MOTION|Exercise EXERCISE -3 (Level -I) (Subjective JEE Advanced)|15 Videos
  • WAVES

    MOTION|Exercise EXERCISE -1 (Objective Problems JEE Main)|35 Videos
  • WAVE OPTICS

    MOTION|Exercise EXERCISE - 4 (Level - II) Previous Year | JEE Main|16 Videos
  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 3 Section-B|22 Videos

Similar Questions

Explore conceptually related problems

An equation y = a cos ^( 2 ) (2 pi nt - (2pi x ) / ( lamda ) ) represents a wave with : -

Does the wave function y=A_(0) cos^(2)(2pi f_(0)t-2pix//lambda_(0) represent a wave? If yes, the determine its amplitude frequency, and wavelength.

Show that the equation y=a sin (2pi nt-(2pi)/lambda x) respresents a progressive wave of velocity C given by C=n lambda .

The equation y = A sin 2pi(500t - x//lambda) represents a wave. Speed of wave is 360 m/s. Calculate (a) wavelength of wave (b) distance between two points which are pi//3 out of phase.

A plane progressive wave is represented by the equation y= 0.25 cos (2 pi t - 2 pi x) The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be :-

If a wave is represented by the following equation y=A cos (2pix)/(lambda) sin (2pivt)/(lambda) then it is a :

A transverse wave is described by the equation y=A sin 2pi( nt- x//lambda_0) . The maximum particle velocity is equal to 3 times the wave velocity if

The equation of standing wave along a sonometer wire is given by y=2A cos ((2pi x)/(lambda)) sin omega t. This represent a standing wave having the origing as

A transverse wave is described by the equation y= A sin 2 pi (vt - x/lambda) . The maximum particle velocity is equal to four times the wave velocity if

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

MOTION-WAVES-EXERCISE -2 (Level -I) (Objective Problems JEE Main)
  1. The displacement of a particle of a string carrying a travelling wave ...

    Text Solution

    |

  2. The equation of a progressive wave is y=0.4 sin (120 pit-(4pi)/5x) ...

    Text Solution

    |

  3. The equation y=A cos^(2) (2pi nt -2 pi (x)/(lambda)) represents a wave...

    Text Solution

    |

  4. When a plane wave train transverses a medium, individual particles exe...

    Text Solution

    |

  5. A sinusoidal progressive wave is generated in a string. It's equation ...

    Text Solution

    |

  6. A transverse wave is described by the equation y=A sin [2pi(ft-x//la...

    Text Solution

    |

  7. A wire is 4 m long and has a mass 0.2 kg. The wire is kept horizontall...

    Text Solution

    |

  8. A string of 7 m length has a mass of 0.035 kg. If tension in the strin...

    Text Solution

    |

  9. Three waves of equal frequencies having amplitudes 10 mu m, 4mu m and ...

    Text Solution

    |

  10. In the figure the intensity of waves arriving at D from two coherent s...

    Text Solution

    |

  11. Two pulses in a stretched string whose centres are initially 8 cm apar...

    Text Solution

    |

  12. Equations of two progressive waves at a certain point in a medium are ...

    Text Solution

    |

  13. there are three strings RP, Pqand QS as shown. Their mass and length a...

    Text Solution

    |

  14. Two pulses in a stretched string whose centres are initially 8 cm apar...

    Text Solution

    |

  15. Two waves represented by y1 =a sin omega t and y2 =a sin (omega t+phi...

    Text Solution

    |

  16. A harmonic wave is travelling on string 1. At a junction with string 2...

    Text Solution

    |

  17. A composite string is made up of two uniform strings having mass per ...

    Text Solution

    |

  18. In the previous question, the percentage of power transmitted to the h...

    Text Solution

    |

  19. A wave moving with constant speed on a uniform string passes the point...

    Text Solution

    |

  20. A metallic wire of length l is held between two rigid supports. If the...

    Text Solution

    |