Home
Class 11
PHYSICS
When wave travells in medium, the displa...

When wave travells in medium, the displacement of a particle located at distance x at time t is given by y=a sin (bt-cx) where a,b and c are constants of the wave. The dimension of b/c are same as that of :

A

Wave velocity

B

Wavelength

C

Wave amplitude

D

Wave frequency

Text Solution

Verified by Experts

The correct Answer is:
A
`[b/c]=[(1//t)/(1//x)]=[x/t]`= wave velocity
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-03|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-04|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exersice -05(B)|20 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by y=a sin (bt-cx) where a, b and c are constants of the wave. The dimension of b//c are same as that of:

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

Refractive index mu is given as mu=A+B/lambda^2, where A and B are constants and lambda is wavelength, then dimensions of B are same as that of

Velocity of a particle at time t is given by v=at+(b)/(t+c)a,b , care constant. The dimension of a b, c will be ......

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) w and (ii) k.

The potential energy of a particle from a distance x from an origin, changes according to the formula U=(Asqrtx)/(x+B) where A and B are constant so the dimension of AB=……

The coordinate of a particle moving in a plane are given by x(t) = a cos (pt) and y(t) = b sin (pt) where a,b (lt a) and P are positive constants of appropriate dimensions . Then

The displacement of a particle varies with time according to the relation y= a sin omega t+b cos omega t ……………

ALLEN -MISCELLANEOUS-Exercise-02
  1. A dimensionless quantity

    Text Solution

    |

  2. The Bernoull's equation is given by P+(1)/(2)pv^(2)+hpg=k Where P=...

    Text Solution

    |

  3. When wave travells in medium, the displacement of a particle located a...

    Text Solution

    |

  4. The van der wasl's equation of a gas is (P+(aT^(2))/V) V^(c)=(RT+b). W...

    Text Solution

    |

  5. Two quantities A and B are related by A//B=m where m is linear mass de...

    Text Solution

    |

  6. A physical quantity x can dimensionally represented in terms of M, L a...

    Text Solution

    |

  7. If the velocity of light c, gravitational constant G and Planck's cons...

    Text Solution

    |

  8. A calorie is a unit of heat energy and its value is 4.18J, where 1J=1k...

    Text Solution

    |

  9. Angle between the vectors vec(a)=-hat(i)+2hat(j)+hat(k) and vec(b)=xha...

    Text Solution

    |

  10. Three forces P,Q&R are acting at a point in a plane. The angle between...

    Text Solution

    |

  11. Let vec(a), vec(b), vec(c) be vectors of length 3, 4, 5 respectively. ...

    Text Solution

    |

  12. Let vec(a), vec(b), vec(c) are three unit vector such that vec(a)+vec(...

    Text Solution

    |

  13. If the sum of two unit vectors is a unit vector,then find the magnitud...

    Text Solution

    |

  14. X- component of vec(a) is twice of its Y- component. If the magnitude ...

    Text Solution

    |

  15. If vec(a) is a vector and x is a non-zero scalar, then

    Text Solution

    |

  16. The two vectors vec(A) and vec(B) are drawn from a common point and ve...

    Text Solution

    |

  17. Which of the following expressions are meaningful?

    Text Solution

    |

  18. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

    Text Solution

    |

  19. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  20. Which of the following group have the same dimensions.

    Text Solution

    |