Q13.Two resistors 𝑅1 = ( 4 ± 0 . 8 ) Ω and 𝑅2 = ( 4 ± 0 . 4 ) Ω are connected in parallel. The equivalent resistance of their parallel combination will be : (1) ( 4 ± 0 . 4 ) Ω (2) ( 2 ± 0 . 4 ) Ω (3) ( 4 ± 0 . 3 ) Ω (4) ( 2 ± 0 . 3 ) Ω
What This Question Tests
This problem requires calculating the equivalent resistance of two resistors in parallel along with the propagation of errors. The formula for equivalent resistance in parallel is used, and then the rule for error propagation in sums of reciprocals is applied.
Concepts Tested
Formulas Used
1/R_eq = 1/R1 + 1/R2
ΔR_eq / R_eq^2 = ΔR1 / R1^2 + ΔR2 / R2^2
📚 NCERT Sections This Tests
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3.2 A battery of emf 10 V and internal resistance 3 Ω is connected to a resistor. If the current in the circuit is 0.5 A, what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?
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2.7 Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. (a) What is the total capacitance of the combination? (b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
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4.10 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 Ω, N1 = 30, A1 = 3.6 × 10–3 m2, B1 = 0.25 T R2 = 14 Ω, N2 = 42, A2 = 1.8 × 10–3 m2, B2 = 0.50 T (The spring constants are identical for the two meters). Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1.
📋 Question Details
- Chapter
- Units & Measurements
- Topic
- Error Analysis
- Year
- 2021
- Shift
- 01 Sep Shift 2
- Q Number
- Q13
- Type
- MCQ
- NCERT Ref
- Class 11 Physics Ch 2: Units and Measurements
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