Home
Class 12
PHYSICS
Three bars having length l, 2l and 3l an...

Three bars having length `l, 2l and 3l` and of cross-section `A`, `2A` and `3A` are joined rigidly end to end Compound rod is subjected to a stretching force `F` . The increase in length of rod is (Young's modules of material is `Y`, and bars are massless)
(A) `(13Fl)/(2AY)`
(B) `(Fl)/(AY)`
(C) `(9Fl)/(AY)`
(D) `(3Fl)/(AY)`

A

`(13Fl)/(2AY)`

B

`(Fl)/(AY)`

C

`(9Fl)/(AY)`

D

`(3Fl)/(AY)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment(Section-C)|29 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment(Section-D)|14 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment(Section-A)|54 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|9 Videos
  • Mock test 03

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|44 Videos

Similar Questions

Explore conceptually related problems

If a wire of length 4 m and cross-sectional area of 2 m^(2) is stretched by a force of 3 kN, then determine the change in length due to this force . Given, Young's modulus of material of wire is 110xx10^(9) Nm^(-2)

A uniform rod of length 2L, area of cross - section A and Young's modulus Y is lying at rest under the action of three forces as shown. Select the correct alternatives.

A uniform cylindrical rod of length L, cross-section area A and Young's modulus Y is acted upon by the force as shown in Fig. 7(CF).3. The elongation of the rod is

A rod of mass, m uniform corss sectional area A and length L is accelerated by applying force F as shown in figure on a smooth surface. If yougs' modulus of elasticity of the material of rod is Y. (Consider x as measured from the right end).

A wire havinga length L and cross- sectional area A is suspended at one of its ends from a ceiling . Density and young's modulus of material of the wire are rho and Y , respectively. Its strain energy due to its own weight is (rho^(2)g^(2)AL^(3))/(alphaY) . Find the vqalue of alpha

A rod of length l and radius r is joined to a rod of length l//2 and radius r//2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of theta^(@) , the twist angle at the joint will be

A steel rod has a radius of cross-sectional area is R= 10 mm and length L = 90 cm ls fixed at one end, a force F = 3.14 * 10^4 N stretches it along its length, the stress in the rod is equal to (take pi = 3.14)

If two wires of same length l and are of the cross-section A with young modulus Y and 2Y connect in series and one end is fixed on roof and another end with mass m makes simple harmonic motion, then the time period is

A wire of length L and radius a rigidlyl fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is L, if another wire of same material but of length 2 L and radius 2 a is stretched with a force 2 F, the increase in its length will be

A wire of length L and radius r is clamped at one end. On stretching the other end of the wire with a force F, the increase in its length is 1. If another wire of same material but of length 2L and radius 2r is stretched with a force 2F, the increase in its leagth will be

AAKASH INSTITUTE ENGLISH-MECHANICAL PROPERTIES OF SOLIDS-Assignment(Section-B)
  1. A rigid bar of mass 15 kg is supported symmetrically by three wires ea...

    Text Solution

    |

  2. The volume change of a solid copper cube 20 cm on an edge, when subjec...

    Text Solution

    |

  3. Three bars having length l, 2l and 3l and of cross-section A, 2A and 3...

    Text Solution

    |

  4. A force F is applied along a rod of transverse Sectional area A. The n...

    Text Solution

    |

  5. The strain energy stored in a body of volume V due to shear strain is ...

    Text Solution

    |

  6. A vertical hanging bar of length l and mass m per unit length carri...

    Text Solution

    |

  7. A metal wire having Poisson's ratio 1/4 and Young's modulus 8 xx 10^(1...

    Text Solution

    |

  8. An ideal gas has adiabatic exponent gamma. It expands according to the...

    Text Solution

    |

  9. Which of the following curve represents the correctly distribution of ...

    Text Solution

    |

  10. The length of a metal wire is l1 when the tension in it is T1 and is l...

    Text Solution

    |

  11. A wire can sustain a weight of 15 kg: If it cut into four equal parts,...

    Text Solution

    |

  12. Two wire A and B are stretched by same force. If for A and B, YA :YB= ...

    Text Solution

    |

  13. A bar is subjected to axial forces as shown. is the modulus of elastic...

    Text Solution

    |

  14. A metal ring of initial radius r and cross-sectional area A is fitted ...

    Text Solution

    |

  15. A material has normal density rho and bulk modulus K. The increase in ...

    Text Solution

    |

  16. A wire of length 5m is twisted through 30^(0) at free end If the radiu...

    Text Solution

    |

  17. One end of a uniform wire of length L and of weight W is attached rigi...

    Text Solution

    |

  18. Two rods A and B of the same material and length have radii r(1) and ...

    Text Solution

    |

  19. A uniform wire of length L and radius r is twist by an angle alpha. If...

    Text Solution

    |

  20. What is called the ratio of the breaking stress and the working stress...

    Text Solution

    |