Home
Class 11
PHYSICS
According to Joule's law of heating , he...

According to Joule's law of heating , heat produced `H = I^(2) Rt`, where `I` is current , `R` is resistance of `I` , `R` , and `t are 3% , 4% , and 6% `, respectively , find error in the measurement of `H`.

Text Solution

Verified by Experts

`H = I^(2) Rt`
:. `( Delta H)/( H) xx 100 = (( 2 Delta I)/(I) + (Delta R)/ ( R ) + ( Delta t)/( t) ) xx 100`
` = ( 2 xx 3 + 4 + 6)% = 16%`
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

The heat generated in a circuit is given by Q = I^(2) Rt , where I is current , R is resistance , and t is time . If the percentage errors in measuring I , R , and t are 2% , 1% , and 1% , respectively , then the maximum error in measuring heat will be

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are 3% and 2% , respectively, then find the maximum error in the measurement of the density of cube.

The resistance R of a wire is given by the relation R= (rhol)/( pir^(2)) . Percentage error in the measurement of rho, l and r is 1 % , 2% and 3% respectively. Then the percentage error in the measurement of R is

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be

In the measurement of a physical quantity (L), the formula used is L=k(m xx n) , where k is a constant and m and n are the quantities to be measured. If the % errors in m and n are respectively 3% and 5%. The % error in the measurement of L is

In an experiment, the percentage of error occurred in the in the measurement of physical quantities A,B,C and D are 1%, 2%,3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X=(A^(2)B^(1//2))/(C^(1//3)D^(3)) , will be

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate . If the maximum error in the measurement of force and length are , respectively , 4% and 2% . Find the maximum error in the measurement of pressure.

In the measurement of a physical quantity X = A^(2)B/C^(1//3)D^(3) The percentage errors introduced in the measurement of the quantities A, B, C and D are 2%, 2%, 4% and 5% respectively. Then, the minimum amount of percentage error in the measurement of X is contributed by

The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in measurement of mass and diameter are 2% and 3% respectively then the maximum percentage error in the measurement of density is

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

    |