Home
Class 12
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`.

Text Solution

Verified by Experts

The correct Answer is:
A

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The equation of a wave is given by y = a sin omega [(x)/v -k] where omega is angular velocity and v is the linear velocity . The dimensions of k will be

The equation of a wave is given by y = a sin omega [(x)/v -k] where omega is angular velocity and v is the linear velocity . The dimensions of k will be

The equation of a wave is given by y=a sin (100t-x/10) where x and y are in metre an t in second, the velocity of wave is

The linear velocity of a rotating body is given by vec(v)= vec(omega)xxvec(r ) , where vec(omega) is the angular velocity and vec(r ) is the radius vector. The angular velocity of a body is vec(omega)= hat(i)-2hat(j)+2hat(k) and the radius vector vec(r )= 4hat(j)-3hat(k) , then |vec(v)| is

The linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

The displacement of a progressive wave is represented by y = A sin (omegat - kx), where x is distance and t is time. Write the dimensional formula of (i) omega and (ii) k.

A rod is rotating with angular velocity omega about axis AB. Find costheta .

The equation of a simple harmonic wave is given by y = 3 sin"(pi)/(2) (50t - x) where x and y are in meters and x is in second .The ratio of maximum particle velocity to the wave velocity is

The equation of a simple harmonic wave is given by y = 3 sin"(pi)/(2) (50t - x) where x and y are in meters and x is in second .The ratio of maximum particle velocity to the wave velocity is

The equation of a travelling wave is, Y = A sin 2pi (pt-x//5) Then the ratio of maximum particle velocity to wave velocity is,

ALLEN-BASIC MATHS-Exercise-02
  1. The fundamental unit which has same power in the dimenssional formula ...

    Text Solution

    |

  2. The ratio of one micron to one nanometre is

    Text Solution

    |

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

    Text Solution

    |

  4. Temperature can be expressed as a derived quantity in terms of any of ...

    Text Solution

    |

  5. The time dependence of physical quantity p is given by p = p(0) exp (-...

    Text Solution

    |

  6. The density of wood is 0.5 in CGS. system of units The corresponding v...

    Text Solution

    |

  7. In a particular system, the unit of length, mass and time are chosen t...

    Text Solution

    |

  8. Match List-I with List-II and select the correct answer by using the c...

    Text Solution

    |

  9. Which of the following is not a unit of time?

    Text Solution

    |

  10. Which of the following is the smallest unit?

    Text Solution

    |

  11. Which relation is wrong ?

    Text Solution

    |

  12. What is the dimensional formula of angular velocity?

    Text Solution

    |

  13. If A and B are two physical quantities having different dimensions The...

    Text Solution

    |

  14. The dimensional formula of product and quotient of two physical quanti...

    Text Solution

    |

  15. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  16. Force on a particle in one-dimensional motion is given by F=Av+Bt+(Cx)...

    Text Solution

    |

  17. Consider the equation (d)/(dt)(intvec(F).dvec(S))=A(vec(F).vec(rho)) w...

    Text Solution

    |

  18. The dimensional formula for latent heat is

    Text Solution

    |

  19. The radiation emitted per unit time by unit area of a black body at te...

    Text Solution

    |

  20. In the fourmula X=3YZ^(2), X and Z have dimensions of capacitance and ...

    Text Solution

    |