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^(-)]`

C

[T]

D

[LT]

Text Solution

Verified by Experts

The correct Answer is:
C
`omegak` is dimensionless.
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Check Point 1.2|10 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Check Point 1.3|10 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 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-UNITS, DIMENSIONS & ERROR ANALYSIS -Check Point 1.1
  1. What is the dimensional formula of gravitational constant ?

    Text Solution

    |

  2. If c and R denote capacity and resistance the dimensions of CR are :

    Text Solution

    |

  3. Which one of the following have same dimensions?

    Text Solution

    |

  4. Which of the following is a dimensional constant?

    Text Solution

    |

  5. The force F on a sphere of radius r moving in a medium with velocity v...

    Text Solution

    |

  6. Density of a liquid in CGS system is 0.625(g)/(cm^3). What is its magn...

    Text Solution

    |

  7. Joulexxsecond is the unit of

    Text Solution

    |

  8. [ML^(2)T^(-3)A^(-1)] is the dimensional formula for

    Text Solution

    |

  9. The dimensional formula fo resistivity in terms of M,L,T and Q where ...

    Text Solution

    |

  10. the dimensional formula for planck's constant and angular momentum ar...

    Text Solution

    |

  11. Which of the following pairs have the same units?

    Text Solution

    |

  12. Which one of the following is not the dimensionless quantity?

    Text Solution

    |

  13. Given that y = a cos((t)/(P) - qx), where t represents distance is met...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If 'muscle times speed equals power', then what is the ratio of the SI...

    Text Solution

    |

  17. The dimensions of 1/2 in(0) E^(2) (in(0): permittivity of free space, ...

    Text Solution

    |

  18. If P represents radiation pressure , C represents the speed of light ...

    Text Solution

    |

  19. The units of length, velocity and force are doubled. Which of the foll...

    Text Solution

    |

  20. Assuming that the mass m of the largest stone that can be moved by a f...

    Text Solution

    |