Home
Class 11
PHYSICS
A thin 1 m long rod has a radiuus of 5 m...

A thin 1 m long rod has a radiuus of 5 mm. A force of `50pikN` is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01 mm, which of the following statements is false ?

A

`(Delta Y)/(Y)` gets minimum contribution from the uncetainty in the length

B

The figure of ment is the largest for the length of the rod

C

`(Delta Y)/(Y)` gets its maximum contribution from the uncertainty in strain

D

The maximum value of Y that can be determined is `10^(14) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos
  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-1)|51 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos
  • KINEMATICS

    ALLEN|Exercise EXERCISE-2|89 Videos

Similar Questions

Explore conceptually related problems

A thin 1m long rod has a radius of 5mm . A force of 50pi KN is applied at one end to determine its Young's modulus Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01mm which of the following statements is false ?

The least count of three instruments are 1 mm, 0.1 mm and 0.01 mm. Which one has the greatest precision?

In an experiment to determine the acceleration due to gravity g , the formula used for the time period of a periodic motion is T = 2pisqrt((7(R - r)/(5g) . The values of R and r are measured to be (60 +- 1)mm and (10 +- 1)mm , repectively. In five successive measurment, the time period is found to be 0.52s, 0.56s,0.57s,0.54s and 0.59s . the least count of the watch used for the measurement of time period is 0.01s . Which of the following satement (s) is (are) true?

A steel rod has a radius 10 mm and a length of 1.0 m. A force stretches it along its length and produces a strain of 0.32% . Young's modulus of the steel is 2.0xx10^(11Nm^(-2) . What is the magnitude of the force stretching the rod?

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(4) Nm^(-2) . What is the elastic energy density of the steel rod ?

A structural steel rod has a radius r =10mm and a length l.=1m When a force F=100kN is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the elastic energy density of the steel rod ?

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the elongation produced ?

The length of one rod is 2.53 cm and that of the other is 1.27 cm . The least count of the measuring instrument is 0.01 cm . If the two rods are put together end to end , find the combined length.

A student uses a simple pendulum of exactly 1m length to determine g , the acceleration due ti gravity. He uses a stop watch with the least count of 1sec for this and record 40 seconds for 20 oscillations for this observation, which of the following statement (s) is (are) true?

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the stress produced ?

ALLEN-ERROR AND MEASUREMENT-Part-2(Exercise-2)(A)
  1. The 'rad' is the correct unit used to report the measurement of

    Text Solution

    |

  2. An experiment is performed to find the refractive index of glass using...

    Text Solution

    |

  3. Two full turns of the circular scale of a screw gauge cover a distance...

    Text Solution

    |

  4. In an experiment the angles are required to be measured using an instr...

    Text Solution

    |

  5. In a optics experiment, with the positive of the object fixed, a stude...

    Text Solution

    |

  6. The respective number of significant figures for the numbers 23.023, 0...

    Text Solution

    |

  7. A screw gauge gives the following reading when used to mesure the diam...

    Text Solution

    |

  8. A spectrometer gives the following reading when useed to measure the a...

    Text Solution

    |

  9. Resistance of a given wire is obtained by measuring the current flowin...

    Text Solution

    |

  10. The currect voltage relation of diode is given by I=(e^(1000 V//T)-1) ...

    Text Solution

    |

  11. A student measured the length of a rod and wrote it as 3.50 cm. Which...

    Text Solution

    |

  12. The period of oscillation of a simple pendulum is T = 2pisqrt(L/g). Me...

    Text Solution

    |

  13. Diameter of a steel ball is measured using a Vernier callipers which h...

    Text Solution

    |

  14. A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divi...

    Text Solution

    |

  15. A student measures the time period of 100 ocillations of a simple pend...

    Text Solution

    |

  16. A thin 1 m long rod has a radiuus of 5 mm. A force of 50pikN is applie...

    Text Solution

    |