Home
Class 11
PHYSICS
When a wave transverses in a medium, the...

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:

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|8 Videos

Similar Questions

Explore conceptually related problems

When a wave traverses a medium, the displacement of a particle located at 'x' at a time 't' is given by y = a sin (bt - cx) , where a,b and c are constants of the wave, which of the following is a quantity with dimensions?

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 displacement (x) of a particle as a function of time (t) is given by x=asin(bt+c) Where a,b and c are constant of motion. Choose the correct statemetns from the following.

A wave is represented by - y=a sin (At-Bx+C) where A, B, C are constants. The Dimensions of A, B, C are

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

The velocity v of a particle at time A is given by v = at+ (b)/(l +c) where a ,b and c are constant The dimensions of a,b and c are respectively

When a wave travels in a medium, th eparticle displacement is given by the equation y=asin 2pi(bt-cx), where a,b and c are constants. The maximum particle velocity will be twice the wave velocity. If

When a wave travels in a medium, the particle displacement is given by, y = psin2 pi (qt - rx), where p, q and r are constants. The maximum particle velocity will be twice the wave velocity if

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

    Text Solution

    |

  2. The Bernoulli's equation is given by P+1/2 rho v^(2)+h rho g=k. Where ...

    Text Solution

    |

  3. When a wave transverses in a medium, the displacement of a particle lo...

    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 it equals about 4.2 J, where 1J...

    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 and R are acting at a point in the plane. The angle b...

    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

    |