Home
Class 11
PHYSICS
The Young's modulus Y is determined by ...

The Young's modulus Y is determined by stretching a wire by using the formula ,
`Y = (4FL)/(pi d^(2)l)`
where F is the streching force , L is length of wire , l is extension in length and d is its diameter . If F is of the order of 500 N and known to 1 part in 1000 L , is of the order of 3 m and measured with an accuracy of 1 mm , l is of the order of 5 mm measured to `0.1` mm and d is of the order of 1 mm measured correct upto `0.01` mm , estimate the percentage error in the measurement of Y .

Text Solution

Verified by Experts

The correct Answer is:
`4.13 %`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Errors in Measurements|3 Videos

  • Physical world

    SL ARORA|Exercise Exercise|49 Videos

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

Similar Questions

Explore conceptually related problems

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

The length of a steel wire is l_(1) when the stretching force is T_(1) and l_(2) when the stretching force is T_(2) . The natural length of the wire is

A load of 2 kg produces an extension of 1 mm in a wire 3 m in length and 1 mm in diameter.l Calculate Young's modulus of elesticity of wire.

To determine the young's modulus of a wire , the formula is Y = (F)/( A) . (L)/ ( Delta l) , where L = l ength , A = area of cross - section of the wire , DeltaL = change in the length of the wire when streched with a force F . Find the conversion factor to change it from CGS t o MKS system.

To determine the Young's modulus of a wire, the formula is Y=(F)/(A)xx(L)/(DeltaL) , where L = length, A = area of cross-section of the wire, DeltaL = change in length of the wire when stretched with a force F. The conversion factor to change it from CGS to MKS system is

In the determination of Young's modulus (Y = (4MLg)/(pi// d^2) ) by using Searle's method, a wire of length L= 2 m and diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length of the wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. The have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement

The Youngs modulus of the material of the wire of length L and radius r is Y Nm^(-2) . If the length is reduced to L/2 and radius r/2, then Youngs modulus will be.

In the determination if Youngs modulus Y = (4MLg)/(pild^(2)) by using searles method, a wire of length L=2m and diameter d=0.5mm is used. For a load M=2.5kg , an extension l=0.25mm in the length of the wire is observed. Quantites D and l are measured using a screw gauge and a micrometer, respectively. they have the same pitch of 0.5mm . the number of divisions on their circular scale is 100 . the contrubution to the maximum probable error of the Y measurement

Young's modulus of the material of a wire is Y. ON pulling the wire by a force F, the increase in its length is x. The potential energy of the stretched wire is

The length of a metal wire is l when the tension is F and x l when the tension si y F. Then the natural length of the wire is

SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-Based on Combination
  1. Two resistance (200 pm 4) Omega and (150 pm 3) Omega are connected in ...

    Text Solution

    |

  2. The initial and final temperature of water were recorded as (56.3 pm 0...

    Text Solution

    |

  3. If l(1) = (10.0 pm 0.1) cm and l(2) = (9.0 pm 0.1) cm , find the their...

    Text Solution

    |

  4. A capacitor C = (2.0 +- 0.1)muF is charged to a voltage V = (20 +- 0.5...

    Text Solution

    |

  5. The resistance R of a conductor is defind as the ratio of the potentia...

    Text Solution

    |

  6. The relative density of a material is found by weighing the body first...

    Text Solution

    |

  7. The length and breadth of a rectangular block are 25.2 cm and 16.8 cm,...

    Text Solution

    |

  8. While measuring the volume of a sphere , an error of 1.2 % is commited...

    Text Solution

    |

  9. The voltage across a lamp is (6.0 +- 0.1) V and the current passing th...

    Text Solution

    |

  10. The radius of a sphere is measured to be (2.1+-0.5) cm. Calculate its ...

    Text Solution

    |

  11. The radius of a sphere is (5.3 +- 0.1)cm The perecentage error in its ...

    Text Solution

    |

  12. The measure of the diameter of a cylinder is (1.60 pm 0.01) cm and it...

    Text Solution

    |

  13. The measured mass and volume of a body are 2.00 g and 5.0 cm^(3) respe...

    Text Solution

    |

  14. Two resistance R(1) and R(2) are connected in (i) series and (ii) para...

    Text Solution

    |

  15. A body travels uniformly a distance of ( 13.8 +- 0.2) m in a time (4.0...

    Text Solution

    |

  16. The centripetal force acting on a body of mass m moving with speed v a...

    Text Solution

    |

  17. The period of oscillation of a simple pendulum is T = 2 pi sqrt((L)/(g...

    Text Solution

    |

  18. Calculate the percentage error in specific resistance , rho = pi r^(2)...

    Text Solution

    |

  19. The Young's modulus Y is determined by stretching a wire by using the...

    Text Solution

    |

  20. A physical quantify X is related to three observations a , b, c as X =...

    Text Solution

    |