Home
Class 11
PHYSICS
In an experiment , the following observa...

In an experiment , the following observations were recorded:
`L = 2.820 m , M = 3.00 kg , l = 0.087 cm , diameter , D = 0.041 cm`. Taking ` g = 9.81 m s^(-2)` and using the formula , `Y = ( 4MgL)/( pi D^(2) l)` , find the maximum permissible error in `Y`.

Text Solution

Verified by Experts

`Y = ( 4 MgL)/(pi D^(2) l)`. So maximum permissible error in `Y`
`(Delta Y)/( Y) xx 100 = (( Delta M)/( M) + ( Delta g)/( g) + ( Delta L)/(L) + ( 2 Delta D)/( D) + ( Delta l)/(l)) xx 100`
` = ((1)/(300) + (1)/(9.81) + (1)/(9820) + 2 xx (1)/( 41) + (1)/(87)) xx 100`
` = 0.065 xx 100 = 6.5%`
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|31 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|93 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.2|6 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos
  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

In an experiment for determining the value of acceleration due to gravity (g) using a simpe pendulum , the following observations were recorded: Length of the string (l) = 98.0 cm Diameter of the bob (d) = 2.56 cm Time for 10 oscillations (T) = 20.0 s Calculate the value of g with maximum permissible absolute error and the percentage relative error.

In an experiment for measurement of young's modulus, following readings are taken. Load = 3.00 kg, length = 2.820 m, diameter = 0.041 cm and extension = 0.87. We shell determine the percentage error in measurement of Y.

If l : m = 2 (1)/(2) : 1(2)/(3) and m : n = 1 (1)/(4) : 3 (1)/(2) , find l : m : n

In resonance tube experiment , the velocity of sound is given by v = 2 f_(0) ( l_(2) - l_(1)) . We found l_(1)=25.0 cm and l_(2)=75.0 cm . If there is no error in frequency, what will be the maximum permissible errror in the speed of sound ? (Take f_(0) = 325 Hz )

If the measured value of resistance R = 1.05 Omega , wire diameter d = 0.60 mm , and length l = 75.3 cm , then find the maximum permissible error in resistivity , rho = ( R ( pi d^(2) // 4)) /( l) .

If l_(1) = (10.0 pm 0.1) cm and l_(2) = (9.0 pm 0.1) cm , find the their sum , difference and error in each .

In Searle's exp to find Young's modulus, the diameter of wire is mesured as D=0.05cm length of wire is L=125cm , and when a weight, m=20.0 kg is put, extension in wire was found to be 0.100cm . Find maximum permissible percentage error in Young's modulus ( Y )

To study the laminar flow of a liquid through a narrow tube, the following formula is used V=(pi P r^(4))/(8 eta l) . Given P = 76 cm of Hg , r = 0.28 cm , V = 1.2 cm^(2)s^(-1) , l = 18.2 cm If these quantities are measured to the accuracy of 0.5 cm of Hg, 0.01 cm, 0.1 cm^(3) s^(-1) and 0.1 cm respectively, find maximum percentatge error in the value of eta .

In an experiment on the determination of young's Modulus of a wire by Searle's method , following data is available: Normal length of the wire (L) = 110 cm Diameter of the wire (d) = 0.01 cm Elongation in the wire (l) = 0.125 cm This elongation is for a tension of 50 N . The least counts for corresponding quantities are 0.01 cm , 0.00005 cm, and 0.001 cm , respectively. Calculate the maximum error in calculating the value of Young's modulus (Y) .

To find the value of g using simple pendulum. T=2.00 +-0.01 sec , L=1.00+-0.01 m was measured. Estimate maximum permissible error in g . (use pi^(2)=10 )

CENGAGE PHYSICS ENGLISH-DIMENSIONS & MEASUREMENT-Exercise 1.3
  1. Which of the following length measurements is most precise and why? ...

    Text Solution

    |

  2. In a number without decimal , what is the significant of zeros on the ...

    Text Solution

    |

  3. A research worker takes 100 observations in an experiment . If he repe...

    Text Solution

    |

  4. Which quantity in a given formula should be measured most accurately W...

    Text Solution

    |

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

    Text Solution

    |

  6. The error in the measurement of the radius of a sphere is 1%. Find the...

    Text Solution

    |

  7. Given R(1) = 5.0 +- 0.2 Omega, and R(2) = 10.0 +- 0.1 Omega. What is t...

    Text Solution

    |

  8. The value of resistance is 10.845 Omega and the current is 3.23 A . On...

    Text Solution

    |

  9. The length of one rod is 2.53 cm and that of the other is 1.27 cm. The...

    Text Solution

    |

  10. The pressure on a square plate is measured by measuring the force on t...

    Text Solution

    |

  11. The density of a cube is measured by measuring its mass and the length...

    Text Solution

    |

  12. The pressure on a square plate is measured by measuring the force on t...

    Text Solution

    |

  13. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

    Text Solution

    |

  14. The length of a cylinder is measured with a meter rod having least cou...

    Text Solution

    |

  15. In an experiment , the following observations were recorded: L = 2.8...

    Text Solution

    |

  16. According to Joule's law of heating , heat produced H = I^(2) Rt, wher...

    Text Solution

    |

  17. A physical quantity P is given by P = (A^(3) B^(1//2))/( C^(-4) D^(3//...

    Text Solution

    |