Home
Class 12
PHYSICS
The original length of wire is (153.7 pm...

The original length of wire is `(153.7 pm 0.6) cm`. It is streched to `(155.3 pm 0.2)` cm. Calculate the elongation in the wire with error limits.

Text Solution

AI Generated Solution

To solve the problem of calculating the elongation in the wire with error limits, we can follow these steps: ### Step 1: Identify the lengths and their uncertainties - The original length of the wire, \( L_1 = 153.7 \, \text{cm} \) with an uncertainty of \( \Delta L_1 = 0.6 \, \text{cm} \). - The stretched length of the wire, \( L_2 = 155.3 \, \text{cm} \) with an uncertainty of \( \Delta L_2 = 0.2 \, \text{cm} \). ### Step 2: Calculate the elongation The elongation \( L \) in the wire is given by the difference between the stretched length and the original length: ...
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE - 1|11 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise Impeccable|51 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • WAVE MOTION

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE LEVEL 2 (TRUE FALSE TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

Two rods have lengths measured as (1.8 pm 0.2) m and (2.3 pm 0.1) m. Calculate their combined length with error limits.

The radius of a sphere is measured to be (1.2 +- 0.2)cm . Calculate its volume with error limits.

The radius of a sphere is measured to be (2.1 +- 0.02) cm . Calculate its surface area with error limits.

The radius of a sphere is measured to be (2.1+-0.5) cm. Calculate its surface area with error limits .

The radius of a sphere is measured to be (2.1+-0.5) cm. Calculate its surface area with error limits .

The length and breadth of a rectangle are ( 5.7 +- 0.1 ) cm and ( 3.4 +- 0.2 ) cm , respectively calculate the area of rectangle with error limits.

The length and breadth of a rectangle are ( 5.7 +- 0.1 ) cm and ( 3.4 +- 0.2 ) cm , respectively calculate the area of rectangle with error limits.

The change in the velocity of a body is (12.5pm 0.2)m//s in a time (5.0pm0.3)s. Find the average acceleration of the body within error limits.

The sides of a rectangle are (10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm . Calculate its perimeter with error limits .

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in fig. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0m. Compute the elongations of the steel and the brass wires.

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-Illustration
  1. The dimensional formula for Planck's constant (h) is

    Text Solution

    |

  2. The velocity of sound in a gas depends on its pressure and density . O...

    Text Solution

    |

  3. In a new system of units, unit of mass is taken as 50 kg. unit of leng...

    Text Solution

    |

  4. The period P of a simple pendulum is the time for one complete swing. ...

    Text Solution

    |

  5. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  6. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  7. Consider the equation F=(a^(2))/(b)e^(-(bx)/(E )) where F is force x i...

    Text Solution

    |

  8. A screw gauge has main scale divisions of 1 mm each and its circular s...

    Text Solution

    |

  9. If mass of an object measured is 4.237 gm (four significant figure) an...

    Text Solution

    |

  10. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...

    Text Solution

    |

  11. Round off the following numbers to three significant digits (a) 14.7...

    Text Solution

    |

  12. Round off the following numbers to three significant digits (b) 14.7...

    Text Solution

    |

  13. Round off the following numbers to three significant digits (c ) 14....

    Text Solution

    |

  14. The original length of wire is (153.7 pm 0.6) cm. It is streched to (1...

    Text Solution

    |

  15. The measures of the lengths of a rectangle are l=(3.00 pm 0.01)cm and ...

    Text Solution

    |

  16. The change in the velocity of a body is (12.5pm 0.2)m//s in a time (5....

    Text Solution

    |

  17. The heat dissipated in a resistance can be obtained by the measurement...

    Text Solution

    |

  18. Calculate focal length of a spherical mirror from the following observ...

    Text Solution

    |

  19. The diameter of a wire as measured by a Screw gauge was found to be 1....

    Text Solution

    |

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

    Text Solution

    |