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JEE Main 202225 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Evening Shift
Subject
Physics
Chapter
Mathematics in Physics

JEE Main 2022 · 25 July · Evening Shift · Physics · Mathematics in Physics

The maximum error in the measurement of resistance, current and...

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 11 % , 2 % and 33 % respectively. The maximum percentage error in the detection of the dissipated heat will be:

Options

  1. A22
  2. B44
  3. C66
  4. D88

Correct answer

D. 88

Step-by-step solution

Heat generated through resistance is given by, H=i2RtH = {i}^{2}Rt

Therefore, the percentage error in the calculation can be found by,

⇒\DeltaHH×100=2×\Deltaii×100+\DeltaRR×100+\Deltatt×100⇒ \dfrac{\DeltaH}{H} \times 100 = 2 \times \dfrac{\Deltai}{i} \times 100 + \dfrac{\DeltaR}{R} \times 100 + \dfrac{\Deltat}{t} \times 100

⇒\DeltaHH×100=4⇒ \dfrac{\DeltaH}{H} \times 100 = 4 % + 1 % + 3 %

⇒\DeltaHH×100=8⇒ \dfrac{\DeltaH}{H} \times 100 = 8 %

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