Home
Class 11
PHYSICS
The equation of a wave is given by y ...

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

A

`[T^(2)]`

B

`[T^(-1)]`

C

`[T]`

D

`[LT]`

Text Solution

Verified by Experts

The correct Answer is:
C
`omega k` is dimensionless
` [k] = [(1)/(omega)] = [T]`
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise More Than One Correct|5 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Subjective|16 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

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 the angular velocity and v is the linear velocity. Find the dimension of k .

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 ?

(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 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.

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.

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

DC PANDEY-UNIT AND DIMENSIONS-Single Correct
  1. The dimensional formula for Planck's constant and angular momentum ar...

    Text Solution

    |

  2. Dimension of velocity gradient is

    Text Solution

    |

  3. Which of the following is the dimension of the coefficient of frintion...

    Text Solution

    |

  4. Which of the following sets have different dimensions ?

    Text Solution

    |

  5. The viscous force F on a sphere of radius a moving in a medium with ve...

    Text Solution

    |

  6. A force is given by F= at + bt^(2) where t is the time .The dime...

    Text Solution

    |

  7. The physical quanitity the dimensions [M^(-2)L^(-3)T^(0)A^(2)] is

    Text Solution

    |

  8. The dimensional formula for planck's magnetic flux is

    Text Solution

    |

  9. Chooce the wrong statement.

    Text Solution

    |

  10. If unit of length and time is doubled the numerical value of g (accele...

    Text Solution

    |

  11. Using mass (M), "length"(L) , time (T) and current (A) as fundamental...

    Text Solution

    |

  12. The equation of a wave is given by y = a sin omega [(x)/v -k] w...

    Text Solution

    |

  13. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  14. If "force" F, "length" L and time T are taken as fundemental unit , t...

    Text Solution

    |

  15. The ratio of the dimensions of plank's constant and that of the moment...

    Text Solution

    |

  16. Given that y = A sin [((2 pi )/(lambda)(ct - x))] where y and x are me...

    Text Solution

    |

  17. Which of the following sets cannot enter into the list of fundamental ...

    Text Solution

    |

  18. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

    Text Solution

    |

  19. A quantity X is given by epsilon(p) L(delta V)/(delta t) , where eps...

    Text Solution

    |

  20. In the relaction p = (a)/(beta) e ^((aZ)/(k theta ), p is pressure Z ...

    Text Solution

    |