Home
Class 12
PHYSICS
A wire of length l having tension T and ...

A wire of length l having tension T and radius `r` vibrates with fundamental frequency `f`. Another wire of the same metal with length `2l` having tension `2T` and radius `2r` will vibrate with fundamental frequency :

A

f

B

2f

C

`(f)/(2sqrt(2))`

D

`(f)/(2)sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A uniform string is vibrating with a fundamental frequency 'f. The new frequency, if radius and length both are doubled would be……..

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f its length increases by l. Another wire of the same material of length 2L and radius 2r is pulled by a force 2f. Then find the increase in length of this wire.

A wire of given material having length l and area of cross-section A has a resistance of 4 n. What would be the resistance of another wire of the same material having length 1/2 and area of cross - section 2A ?

When two violin wires with different fundamental frequencies are vibrated to play some music, can they produce resonance ?

A cylindrical tube, open at both ends, has a fundamental frequency f in air . The tube is dipped vertically in water so that half of its length is in water. The fundamental frequency of the air column is now (a) f // 2 (b) 3 f // 4 (C ) f (d) 2f

A thin wire of length l when heated to a certain temperature increases its length by 1% . A sheet of the same material of area 2lxxl is heated to the same temperature then percentage increase in area will be :-

A string 25cm long and having a mass of 2.5 gm is under tension. A pipe closed at one end is 40cm long. When the string is set vibrating in its first overtone and the air in the pipe in its fundamental frequency, 8 beats per second are heard. It is observed that decreasing the tension in the string decreases beat frequency. If the speed of sound in air is 320m//s , find the tension in the string.

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2) . the ratio v_(1)//v_(2) is given by

Two vibrating strings of same material stretched under same tension and vibrating with same frequency in the same overtone have radii 2r and r. Then the ratio of their lengths is:

A string of mass per unit length mu is clamped at both ends such that one end of the string is at x = 0 and the other is at x =l . When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

ALLEN -RACE-Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)
  1. If in a stationary wave the amplitude corresponding to antinode is 4 c...

    Text Solution

    |

  2. What is the phase difference between the displacement wave and pressur...

    Text Solution

    |

  3. A wire of length l having tension T and radius r vibrates with fundame...

    Text Solution

    |

  4. Equation of a standing wave is generally expressed as y=2Asinomegatcos...

    Text Solution

    |

  5. Two vibrating strings of same material stretched under same tension an...

    Text Solution

    |

  6. The wave-function for a certain standing wave on a string fixed at bot...

    Text Solution

    |

  7. In a standing transerse wave on a string :

    Text Solution

    |

  8. A string vibrates in 5 segments to a frequency of 480 Hz. The frequen...

    Text Solution

    |

  9. A string vibrates in 5 segments to a frequency of 180 Hz. The frequen...

    Text Solution

    |

  10. A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + ...

    Text Solution

    |

  11. In case of closed organ pipe, which harmonin the p^(th) overtone will ...

    Text Solution

    |

  12. An organ pipe of length L is open at one end and closed at other end. ...

    Text Solution

    |

  13. The first resonance length of a resonance tube is 40 cm and the second...

    Text Solution

    |

  14. A man sitting in a moving train hears the whistle of the engine. The f...

    Text Solution

    |

  15. A whistle of frequency 500 Hz tied to the end of a string of length 1....

    Text Solution

    |

  16. A train moves towards a stationary observer with speed 34 m//s. The tr...

    Text Solution

    |

  17. If source and observer both are relatively at rest and if speed of sou...

    Text Solution

    |

  18. A small source of sound moves on a circle as shown in figure and an ob...

    Text Solution

    |

  19. An observer moves towards a stationary source of sound, with a velocit...

    Text Solution

    |

  20. A string vibrates in 3 segments to a frequency of 320 Hz. The frequen...

    Text Solution

    |