Home
Class 12
PHYSICS
An aluminium wire of length 0.6 m and cr...

An aluminium wire of length 0.6 m and cross-sectional area `10^(-6)m^(2)` is connected to a steel wire of the same crosssectional area and length 0.866 m. The compound wire is loaded with 10 kg. Find the lowest frequency of excitation for which the joint in the wire is a node. Also find the number ofnodes, excluding the two at the ends of the wire. The density of aluminium is `2600kg//m^(3)` andthatofsteel is `7800 kg//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs with One or More Options Correct|30 Videos

  • WAVE OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|28 Videos

  • X-RAYS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerica Problem for Preparation|23 Videos

Similar Questions

Explore conceptually related problems

An aluminium wire of length 0.6 m and cross sectioal are and length 0.866 m .The compound wire is loaded with 10kg.Find the lowest frequency of exciation for which the joint In the the wire.The density of alumimium is 2600 kg m^(-3) and that of steel is 7800 kgm^(-3)

An aluminium wire of cross-sectionbal area 1 xx 10^(-6)m^(2) is joined to a steel wire of same cross-sectional ara. This compound wire is stretched on a sonometer, pulled by a weight of 10 kg . The total length of the compound wire between the bridges is 1.5 m , of which the aluminium is 0.6 m and the rest is steel wire. Transverse vibrationas are set up in the wire by using an ecternal force of variable frequency. Find the lowest frequency of excitation for which standing waves are formed such that the joint in the wire is a node. What is the total number of nodes observed at this frequency, excluding the two at the ends of the wire? The density of aluminium is 2.6 xx 10^(3) kg//m^(3) and that of steel is 1.04 xx 10^(4) kg//m^(3) .

A steel wire fo length 5m and cross-sectional area 2xx10^(-6)m^(2) streches by the same amount as a copper wire of length 4m and cross sectional area of 3xx10^(-6) m^(2) under a given load. The ratio of young's mouduls of steel to that of copper is

A steel wire of length 4.7 m and cross-sectional area 3 xx 10^(-6) m^(2) stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4 xx 10^(-6) m^(2) under a given load. The ratio of Young's modulus of steel to that of copper is

Two different wire A and B of same cross sectional area are joined to form a composite wire of length 1.5m of which wire A is 0.6 m and the rest is wire B. The densities of A and B are in the ratio 1:4 when the joint in the wire is a node , then the number of loops formed in A and B are in the ratio

An aluminium wire and a steel wire of same cross-sectional of 10^(-2)cm^(2) were connected together. A 10 kg block loaded on the compound wire as shown in figure. Waves are set up in the compound wire. The minimum frequency of excitation for which standing waves are observed with point A as a node is [L_(1)=60cm,L_(2)=86.6cm] density of aluminium =2.6g//cm^(3) and of steel= 7.8g//cm^(3) ]

Figure shows an aluminium wire of length 60 cm joined to a steel wire of length 80 cm and stretched between two fixed supports. The tension produced is 40 N . The cross-sectional area of the steel wire is 1.0 mm^(2) and that of the aluminimum wire is 3.0 mm^(2) The minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node is 10P (in Hz ) the find P . Given density of aluminimum is 2.6 g//cm^(3) and that of steel is 7.8 g//cm^(3) .

PHYSICS GALAXY - ASHISH ARORA-WAVES -Unsolved Numerical Problems for Preparation of NSE, INPhO & IPhO
  1. Show that ifthe rate of change oftemperature with height dT//dh called...

    Text Solution

    |

  2. A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produce...

    Text Solution

    |

  3. An aluminium wire of length 0.6 m and cross-sectional area 10^(-6)m^(2...

    Text Solution

    |

  4. Weak back-ground noise from a classroom set up the fundamental station...

    Text Solution

    |

  5. If n(1), n(2 ) "and" n(3) are the fundamental frequencies of three seg...

    Text Solution

    |

  6. A heavy string is tied at one end to a movable support and to a light ...

    Text Solution

    |

  7. A uniform circular hoop of string is rotating clockwise in the absence...

    Text Solution

    |

  8. A long horizontal pipe is fitted with a piston of mass 10 kg which is ...

    Text Solution

    |

  9. A wire of length I is kept just taut horizontally between two walls. A...

    Text Solution

    |

  10. Wavelength of two notes in ai rare 80//195 m and 80//193 m. Each note ...

    Text Solution

    |

  11. A fork and a monochord string 100 cm long give 4 beats per second.The ...

    Text Solution

    |

  12. A 40 cm wire having a mass of 3.2 g is stretched between two fixed sup...

    Text Solution

    |

  13. A stationary observer receives sonic oscillations from two tuning for...

    Text Solution

    |

  14. A sonometer wire under tension of 64 N vibrating in its fundamental mo...

    Text Solution

    |

  15. the linear density of a wire under tension t varies linearly from mu(1...

    Text Solution

    |

  16. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  17. Calculate the velocity of sound in air on a day when temperature is 30...

    Text Solution

    |

  18. If a loop of chain is spunat high speed, it will roll like a hoop with...

    Text Solution

    |

  19. If a loop of chain is spunat high speed, it will roll like a hoop with...

    Text Solution

    |

  20. If a loop of chain is spunat high speed, it will roll like a hoop with...

    Text Solution

    |