Home
Class 12
PHYSICS
The velocity of water wave v may depend ...

The velocity of water wave `v` may depend on their wavelength `lambda`, the density of water `rho` and the acceleration due to gravity `g`. The method of dimensions gives the relation between these quantities as

Text Solution

Verified by Experts

The correct Answer is:
`v=ksqrt(lambdag)`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION J (Aakash Challengers )|8 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise EXERCISE|20 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION H (Multiple True-False)|6 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

Experiments reveal that the velocity v of water waves may depend on their wavelength lambda , density of water rho , and acceleration due to gravity g . Establish a possible relation between v and lambda , g, rho .

The velocity of a freely falling body is a function of the distance fallen through (h) and acceleration due to gravity g . Show by the method of dimensions that v = Ksqrt(gh) .

The orbital velocity v of a satellite may depend on its mass m , the distane r from the centre of the earth and acceleration due to gravity g . Obtain an expression for its orbital velocity .

The largest mass (m) that can be moved by a flowing river depends on velocity (v), density (rho) of river water and acceleration due to gravity (g). The correct relation is

The mass m of the heaviest stone that can be moved by the water flowing in a river depends on speed (v) of water, density (d) of water and the acceleration due to gravity (g). Find the dimension of velocity on which mass of stone depends.

What do you understand by gravity and acceleration due to gravity. Establish a relation between g and G .

The time period T of a simple pendulum depends on length L and acceleration due to gravity g Establish a relation using dimensions.

If different planets have the same density but diferent radii then the acceleration due to gravity (g) on the surface of the planet will depend on its radius (R) as

AAKASH INSTITUTE-UNITS AND MEASUREMENTS-ASSIGNMENT SECTION I (Subjective)
  1. Write down the number of significant figures in the following . (A)8...

    Text Solution

    |

  2. Round off to four significant figures (A) 49.687 ,(B) 2.0095

    Text Solution

    |

  3. Find the dimensions of alpha//beta in equation P=(alpha-t^2)/(betax) ...

    Text Solution

    |

  4. A body of mass m is moving in a circle of radius angular velocity ome...

    Text Solution

    |

  5. Each side of a cube is measured to be 7.203 m . What is (i) the total ...

    Text Solution

    |

  6. The temperature of two bodies measured by a thermometer are t1=20^@C ...

    Text Solution

    |

  7. In an experiment the refractive index of glass was observed to be 1.45...

    Text Solution

    |

  8. Find density when a mass of 9.23 kg occupies a volume of 1.1m^3. Take ...

    Text Solution

    |

  9. Solve with due regards to significant figures 4.0 xx (10^-4) - 2.5 x...

    Text Solution

    |

  10. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

  11. Time period of an oscillating drop of radius r, density rho and surfac...

    Text Solution

    |

  12. A physical quantity y is given by y=(P^2Q^(3//2))/(R^4S^(1//2)) The ...

    Text Solution

    |

  13. Calculate focal length of a spherical mirror from the following observ...

    Text Solution

    |

  14. The velocity of water wave v may depend on their wavelength lambda, th...

    Text Solution

    |

  15. In an experiment of simple pendulum, time period measured was 50s for ...

    Text Solution

    |

  16. if power P and linear mass density are related as P=alpha/(beta^2+lamb...

    Text Solution

    |

  17. The kinetic energy of a particle moving along x-axis varies with the d...

    Text Solution

    |

  18. P = (nx^(y)T)/(V(0))e^(-(Mgh)/(nxT)), where n is number of moles, P is...

    Text Solution

    |