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`.

A

LT

B

T

C

`T^(-1)`

D

`T^(2)`

Text Solution

Verified by Experts

Dimensionally `k=(x)/(v)=(L)/(LT^(-1))=T^(1)`
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 the angular velocity and v is the linear velocity. The dimension of k is

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 linear velocity of a rotating body is given by v =omega xx r , where omega is the angular velocity and r is the radius vector. The angular velocity of a body omega=hati-2hatj+2hatk and their radius vector r=4hatj-3hatk, |v| is -

The linear velocity of a particle on a rotating body is given by vec v = vec omega xx vec r" where "vec omega is the angular velocity and vec r is the radius vector. What is the value of |v| if vec omega = hati -2hatj+2hatk and vec r =4hatj-3hatk ?

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-

if the displacement of the particle at an instant is given by y = r sin (omega t - theta) where r is amplitude of oscillation. omega is the angular velocity and -theta is the initial phase of the particle, then find the particle velocity and particle acceleration.

(a) the displacement of a particle is given by s - a sin (omega t = kx) , where t is in second and x is in meter. Find the dimensions of omega and k . (b) The velocity of a praticle is given by v = v_(0) e^(-lambda t) , where t is time. Find the dimensions of v_(0) and lambda .

The equation of stationary wave is y = A sin kt cos omega ,where y and x in second choose the correct option

Find the dimensions of V in the equation y= A sin omega((x)/(V)-k)

ALLEN-BASIC MATHS-EXERCISE-2
  1. The fundamental quantity which has the same power in the dimensional f...

    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 a physical quantity P is given by P=P(0) exp (-...

    Text Solution

    |

  6. Density of wood is 0.5 g//c c in the CGS system of units. The correspo...

    Text Solution

    |

  7. In a particular system the units 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 the unit of time

    Text Solution

    |

  10. Which of the following is smallest unit?

    Text Solution

    |

  11. Which relation is wrong ?

    Text Solution

    |

  12. The dimensional formula of angular velocity is

    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 Vander wal's equation for n moles of a real gas is given by (P+(n^...

    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)(int vec(F). dvec(S))=A(vec(F).vec(p)) whe...

    Text Solution

    |

  18. 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

    |