JEE Main202429 Jan 2024Morning ShiftPhysicsMathematics in PhysicsActual
The resistance R = V I , where V = ( 200 ± 5 ) V and I = ( 20 ± 0 . 2 ) A , the percentage error in the measurement of R is :
Options
- A3 . 5 %
- B7 %
- C3 %
- D5 . 5 %
Correct answer
A. 3 . 5 %
Step-by-step solution
Given that, R = V I According to error analysis d R R = d V V + d I I ⇒ d R R = 5 200 + 0 . 2 20 ⇒ d R R = 7 200 Thus, the percentage error can be calculated as follows: % error = d R R × 100 = 7 200 × 100 = 3 . 5 %