Home
Class 11
PHYSICS
The equation of a wave is given by Y = A...

The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity. Find the dimension of `k`.

A

LT

B

T

C

`T^(-1)`

D

`T^(2)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( ORDER OF MAGNITUDE AND SIGNIFICANT FIGURE)|9 Videos
  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( ACCUARAY AND ERRORS IN MEASUREMENTS)|10 Videos
  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( FUNDAMENTAL AND DERIVED UNITS)|9 Videos
  • MAGNETISM

    TARGET PUBLICATION|Exercise MCQs|147 Videos
  • Motion in a plane

    TARGET PUBLICATION|Exercise Exercise|340 Videos

Similar Questions

Explore conceptually related problems

The equation of the progressive wave is y =a sin pi (nt -(x)/(5)) the ratio maximum paritcle velocity to wave velocity is

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin (omega t + (pi)/(6)) . After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?

The equation of a standing wave is given by y = 0.02 cos (pi)(x) sin (100 (pi) t )m . Find the amplitude of either wave interfering , wavelength , time period, frequency and wave velocity of interfering waves.

The equation of a transverse wave along a stretched string is given by y = 5 sin 2 (pi) [ t / 0.04 - x /40] where the length is expressed in cm and time in second . Calculate the wavelength , frequency and velocity of the wave.

The equation of a wave is y=4 sin[(pi)/(2)(2t+(1)/(8)x)] where y and x are in centimeters and t is in seconds. Its amplitude, wavelength, velocity and frequency are

The equation of a transverse wave on a stretched string is , y = 2 sin 2 (pi) [ t / 0.04 - x / 40 ] where distances are in meter and time in second .Find the velocity of the wave.

A standing wave is represented by, y=Asin(100t)cos(0.01x) , where x,y and A are in millimeter and t in second. The velocity of the wave is

The equation of a travelling wave is y=60 cos(1800t-6x) where y is in microns, t in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is

Equation of a simple harmonic progressive wave is y= 0.03 sin 8pi ( (t)/( 0.016)- (x)/( 1.6) ) ,where all the quantities are in S.I.units The velocity of wave is

A particle moves so that its position vector is given by vec r= cos omega t hat x = sin omega t haty , where omega is a constant. Which of the following is true?

TARGET PUBLICATION-MEASUREMENTS-CRITICAL THINKING ( DIMENSIONAL ANALYSIS )
  1. Which one of the following represents the correct dimensions of the co...

    Text Solution

    |

  2. Dimensions of electrical resistence are

    Text Solution

    |

  3. The dimensions of length in electric field, electric flux and electric...

    Text Solution

    |

  4. If L denotes the inductance of an inductor through which a current i i...

    Text Solution

    |

  5. If the magnitude of length is halved and that of mass is double then d...

    Text Solution

    |

  6. Out of the following pairs, which one does NOT have identical dimensio...

    Text Solution

    |

  7. Which of the following equations is dimensionally correct?

    Text Solution

    |

  8. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  9. Which of the following pairs has the same dimensions?

    Text Solution

    |

  10. A small steel ball of mass m and radius r is falling under gravity thr...

    Text Solution

    |

  11. A force F is given by F = at + bt^(2) , where t is time . What are the...

    Text Solution

    |

  12. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

  13. For the equation F = A^(a) v^(b) d^(c) where F is force, A is area, v ...

    Text Solution

    |

  14. Using the principle of homogeneity of dimensions, find which of the fo...

    Text Solution

    |

  15. The period T of a soap bubble under SHM is given by T = P^(a) D^(b) S^...

    Text Solution

    |

  16. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

    Text Solution

    |

  17. The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pre...

    Text Solution

    |

  18. The equation of the state of some gases can be expressed as (P +(a)/(V...

    Text Solution

    |

  19. If the speed of light c, acceleration due to gravity (g) and pressure ...

    Text Solution

    |

  20. The value of acceleration due to gravity is 980 cm s^(-2). What will ...

    Text Solution

    |