Home
Class 11
PHYSICS
The heat generated in a circuit is given...

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

Text Solution

Verified by Experts

The correct Answer is:
`+- 6%`

As `H = (I^2Rt)/(4.2)cal`
`:. (DeltaH)/(H) = +-((2DeltaI)/(I) +(DeltaR)/(R )+(Deltat)/(t))`
`=+-(2xx2% +1%+1%) =-6%`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Test Your Grip|50 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Fill in the blanks|50 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Value Based Questions|5 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos
  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos

Similar Questions

Explore conceptually related problems

Heat generated in a circuit is given by H = I^2 Rt. If error in measuring current I, resistance R and time t are 2%, 1% and 3% respectively, then percentage error in calculating heat is :

The percentage error in measurements of length and time period is 2% and 1% respectively . The percentage error in measurements of 'g' is

If the percentage errors in measuring mass and velocity of a particle are respectively 2% and 1% percentage error in measuring its kinetic energy isp

If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

If P=a^2*b^3*c*d^1/2 and the percentage error in a,b,c and d are 1%,2%,3% and 4% respectively.Find percentage error in P.

An experiment from X = (a^(1//2) b^(2))/( c^(3)) . If the percentage errors in a, b , and c are +- 1% , +- 3% , and +- 2% , respectively , then the percentage error in X can be

The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If the error in measuring the above are 1%, 2% and 1% respectively, then maximum error in measuring the heat is

.A physical quantity P=A^(3)B^(2)/CD ,If the percentage errors in the measurement of A,B,C and Dare 1%,2%,3% and 4% then what is the maximum error in the measurement of P

PRADEEP-PHYSICAL WORLD AND MEASUREMENT-Problems for Practice
  1. The error in the measurement of radius of a sphere in +-4% What would ...

    Text Solution

    |

  2. The percentage error in the measurement of mass and speed of a body ar...

    Text Solution

    |

  3. The heat generated in a circuit is given by Q = I^(2) Rt , where I is ...

    Text Solution

    |

  4. State the number of significant figures in the following : (i) 0.007...

    Text Solution

    |

  5. Add 2.384xx10^(-4) to 1.7xx10^(-5) and express the result to correct n...

    Text Solution

    |

  6. Subtract 2.5xx10^4 form 3.8xx10^5 with due regard to significant figur...

    Text Solution

    |

  7. The diameter of circle is 1.06m. Calculate the area enclosed by the ci...

    Text Solution

    |

  8. The mass of a body is 179.84 g and its volume is 32.2cm^3 Express its ...

    Text Solution

    |

  9. Write down the number of significant figures in the following : (i) ...

    Text Solution

    |

  10. Round off to three significant digits (i) 0.03927kg (ii) 4.085xx10^8...

    Text Solution

    |

  11. A jeweller puts a diamond weighing 5.42g in a box weighing 1.2kg. Find...

    Text Solution

    |

  12. (a).Add 3.8 xx 10^(-6) to 4.2 xx 10^(-5) with due regard to significan...

    Text Solution

    |

  13. (a).Add 3.8 xx 10^(-6) to 4.2 xx 10^(-5) with due regard to significan...

    Text Solution

    |

  14. Solve with due regard to significant figurers.(2.91xx0.3842)/(0.080)

    Text Solution

    |

  15. Solve the following and express the result to appropriate number of si...

    Text Solution

    |

  16. The time period of oscillation of simple pendulum is given by t = 2pis...

    Text Solution

    |

  17. The nth division of main scale coincides with (n +1) th division of ve...

    Text Solution

    |

  18. The pitch of a screw gauge is a mm and there are 100 division on the c...

    Text Solution

    |

  19. In a vernier callipers, 10 vernier scale divisions coincide with 9MSD ...

    Text Solution

    |

  20. How many parsec make up 1 metre ? What is the order of magnitude?

    Text Solution

    |