Home
Class 12
PHYSICS
If Y is the Young's modulus of a wire of...

If Y is the Young's modulus of a wire of cross sectional area A, then the force required to increase its length by `0.1%` will be

A

AY

B

AY/100

C

AY/1000

D

1000 AY

Text Solution

Verified by Experts

The correct Answer is:
C
`y=("stress")/("strain")=((F)/(A))/((l)/(L))=(F)/(A)(L)/(l)`
` therefore F=yA (l)/(L) = (yA xx 0.1)/(100)`
`F=(yA)/(1000)`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|314 Videos

  • ELECTROMAGNETIC INDUCTION

    NIKITA PUBLICATION|Exercise MCQs|431 Videos

Similar Questions

Explore conceptually related problems

A bar of mass m and length l is hanging from point A as shown in the figure . If the Young's modulus of elasticity of the bar is Y and area of cross - section of the wire is A, then the increase in its length due to its own weight will be

Y is the Young's modulus of the material of a wire of length L and cross-sectional area A. It is stretched through a length l. What is the force constant of the wire?

If young's modulus of steel is 2xx10^(11)N//m^(2) , then the force required to increase the length of a wire of cross section 1 cm^(2) by 1% will be

Rigidity modulus of steel is eta and its Young's modulus is Y. A piece of steel of cross sectional area A is chaged into a wire of length L and area (A)/(10) then :

The Poisson's ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease of cross-sectional area by 2%. The percentage increase in its length is

The product of Young's modulus of the material of the wire with its cross sectional area is equal to its length. Find the parameters representing x and y axes of the curve as shown:

The diameter of a brass rod is 4 mm and Young's modulus of brass is 9xx10^(10)" N/m"^(2) . The force required to stretch by 0.1% of its length

Young's modulus of steel is Y and its rigidity modulus is eta . A piece of steel of cross-sectional area A, is stretched into a wire of length L and area of cross-section (A)/(4) , In wire case

A force F doubles the length of wire of cross-section a The Young modulus of wire is

A wire of natural length l, young's modulus Y and ares of cross-section A is extended by x. Then, the energy stored in the wire is given by

NIKITA PUBLICATION-ELASTICITY-MCQ
  1. The longitudinal stain in a metal bar is 0.05. If the Poison's ratio f...

    Text Solution

    |

  2. If the values of Y and eta for a material are 2xx10^(11) pascal and ...

    Text Solution

    |

  3. If Y is the Young's modulus of a wire of cross sectional area A, then ...

    Text Solution

    |

  4. If stress is 10^(12) times the strain produced in a wire, then its You...

    Text Solution

    |

  5. A wire of length 10 m and cross-section are 10^(-6) m^(2) is stretched...

    Text Solution

    |

  6. If same tensile force is applied on two wires, there will an extension...

    Text Solution

    |

  7. Two person pull a rope towards themselves. Each person exerts a force ...

    Text Solution

    |

  8. The length of a metal wire is l when the tension is F and x l when the...

    Text Solution

    |

  9. A force of 100 N increases the length of a given wiere by 0.1 mm. Then...

    Text Solution

    |

  10. A mass 'm' kg is whirled in a vertical plane by tying it at the end ...

    Text Solution

    |

  11. Two wires of the same length l and radius are joined end to end and lo...

    Text Solution

    |

  12. One end of a uniform wire of length l and weight W is attached to a po...

    Text Solution

    |

  13. An elongation of 0.2% in a wire of cross section 10^(-4)m^(2) causes t...

    Text Solution

    |

  14. A metal wire is suspended vertically from a rigid support. When loaded...

    Text Solution

    |

  15. Two exactly similar wires of steel (y(s)=20xx10^(11)"dyne"//cm^(2)) an...

    Text Solution

    |

  16. On mixing impurities, the elasticity of a material

    Text Solution

    |

  17. If young's modulus of steel is 2xx10^(11)N//m^(2), then the force requ...

    Text Solution

    |

  18. Two wires of different materials each of length l and cross sectional ...

    Text Solution

    |

  19. The length of a wire l(1) when tension is 4 N and l(2) when the tensi...

    Text Solution

    |

  20. When a metal sphere is suspended at the end of a metal wire, its exten...

    Text Solution

    |