Home
Class 12
PHYSICS
A non-uniform rope of mass M and length ...

A non-uniform rope of mass `M` and length `L` has a variable linear mass density given by `mu = kx`, where `x` is the distance from one end of the wire and `k` is constant.
`t = sqrt((pML//9F))` where `F` (constant) is the tension in the wire then and `p`

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 2 PART III|15 Videos

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 2 PART IV|9 Videos

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 2 PART I|21 Videos

  • TEST SERIES

    RESONANCE|Exercise PHYSICS|127 Videos

  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 3 PART I|19 Videos

Similar Questions

Explore conceptually related problems

A non-uniform wire of length l and mass M has a variable linear mass density given by mu = kx , where x is distance from one end of wire and k is a constant. Find the time taken by a pulse starting at one end to reach the other end when the tension in the wire is T .

Find coordinates of mass center of a non-uniform rod of length L whose linear mass density lambda varies as lambda=a+bx, where x is the distance from the lighter end.

A uniform rope of mass M and length L , on which a force F is applied at one end, then find stress in the ropw at a distance x form the end where force is applied?

The centre of mass of a non-uniform rod of length L whose mass per unit length lambda is proportional to x^2 , where x is distance from one end

A thin rod AB of length a has variable mass per unit length rho_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the mass M of the rod.

Find centre of mass of given rod of linear mass density lambda=(a+b(x/l)^2) , x is distance from one of its end. Length of the rod is l .

A uniform rope of mass m and length L hangs from a celling. (a) Show that the speed of a transverse wave on the rope is a function of y , the distance from the lower end, and is given by t = 2sqrt(L//g) .

A thin rod AB of length a has variable mass per unit length P_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the position of centre of mass of the rod.

RESONANCE-TRAVELLING WAVES-Exercise- 2 PART II
  1. A certain transvers sinusoidal wave of wavelength 20 cm is moving in t...

    Text Solution

    |

  2. Figure shows a string of linear mass density 1.0 g//cm on which a wave...

    Text Solution

    |

  3. A wire of 9.8 xx 10^(-3) kg per meter mass passes over a fricationless...

    Text Solution

    |

  4. A uniform rope of elngth l and mass m hangs vertically from a rigid su...

    Text Solution

    |

  5. A non-uniform rope of mass M and length L has a variable linear mass d...

    Text Solution

    |

  6. A man generates a symmetrical pulse in a string by moving his hand up ...

    Text Solution

    |

  7. A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported ...

    Text Solution

    |

  8. A string of length 'l' is fixed at both ends. It is vibrating in its 3...

    Text Solution

    |

  9. A string of mass 'm' and length l, fixed at both ends is vibrating in ...

    Text Solution

    |

  10. A travelling wave of amplitude 5 A is partically reflected from a boun...

    Text Solution

    |

  11. A 50 cm long wire of mass 20 g suports a mass of 1.6 kg as shown in f...

    Text Solution

    |

  12. A 1 m long rope, having a mass of 40 g, is fixed at one end and is tie...

    Text Solution

    |

  13. In an experiment of standing waves, a string 90 cm long is attached to...

    Text Solution

    |

  14. Three consecutive resonant frequencies of a string are 90, 150 and 210...

    Text Solution

    |

  15. A steel wire of length 1m, mass 0.1kg and uniform cross-sectional area...

    Text Solution

    |

  16. A wire having a linear density of 0.05 gm//c is stretched between two...

    Text Solution

    |

  17. Figure shows a string stretched by a block going over a pulley. The st...

    Text Solution

    |

  18. Figure shows an aluminium wire of length 60 cm joined to a steel wire ...

    Text Solution

    |

  19. A metallic wire with tension T and at temperature 30^(@)C vibrates wit...

    Text Solution

    |