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

When a wave travells in a medium, the displacement of a particle located at distance `x` at time `t` is given by `y=asin(bt-cx)` where `a,b` and `c` are constants of the wave. The dimensions 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)|19 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 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 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.

When a wave travels in a medium, the particle 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

For a body in a uniformly accelerated motion, the distance of the body from a reference point at time 't' is given by x = at + bt^2 + c , where a, b , c are constants. The dimensions of 'c' are the same as those of (A) x " " (B) at " " (C ) bt^2 " " (D) a^2//b

The equation of a wave travelling on a string stretched along the x-axis is given by y=A' where A, a and T are constants of appropriate dimensions

A particle moves rectilinearly. Its displacement x at time t is given by x^(2) = at^(2) + b where a and b are constants. Its acceleration at time t is proportional to

The displacement of a progressive wave is represented by y=Asin(omegat-kx) where x is distance and t is time. The dimensions of (omega)/(k) are same as those of

The position of a particle as a function of time t, is given by x(t)=at+bt^(2)-ct^(3) where a,b and c are constants. When the particle attains zero acceleration, then its velocity will be :

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

    Text Solution

    |

  2. The Bernoulli's equation is given by p+(1)/(2)rhov^(2)+hrhog=k. Where ...

    Text Solution

    |

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

    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. The quantities P and Q are related by P/Q = mu where mu is the linear...

    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 Planc...

    Text Solution

    |

  8. The calorie is a unit of heat or energy and it equals about 4.2 J wher...

    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 on a particle in the plane, the ang...

    Text Solution

    |

  11. Let a,b,c, be vectors of length 3,4,5 respectively and a be perpendicu...

    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 the magnitude of...

    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. Choose the correct option: The two vectors vec(A) and vec(B) are dra...

    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 pairs have the same dimensions?

    Text Solution

    |