Three 3Ω resistors in parallel: equivalent resistance is: MCQ with Answer and Explanation

Three 3Ω resistors in parallel: equivalent resistance is:
A.
B.
C. 0.33Ω
D.
Answer: Option D
Solution (By JKSSB Mock Tests)
1/R_eq = 1/3 + 1/3 + 1/3 = 1 ⇒ R_eq = 1Ω. For n equal resistors in parallel: R_eq = R/n. Memory tip: 'Parallel: reciprocal sum; result < smallest resistor'. Basic circuit calculation frequently tested in competitive exams to verify parallel combination formula.

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Practice More Physics Questions

Question #1
A sound wave has time period 0.01 s. Its frequency is
A. 1000 Hz
B. 10 Hz
C. 100 Hz
D. 0.1 Hz

Correct Answer: Option C


Explanation:
f = 1/T = 1/0.01 = 100 Hz.

This question belongs to: Science Physics
Question #2
The loudness of sound is measured in
A. Meter
B. Decibel
C. Hertz
D. Watt

Correct Answer: Option B


Explanation:
Decibel (dB) measures intensity level.

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Question #3
The time period of a simple pendulum is measured as 2.0 s with an error of 0.1 s. The percentage error in the calculated value of g is approximately:
A. 5%
B. 10%
C. 20%
D. 2.5%

Correct Answer: Option B


Explanation:
Pendulum period T = 2π√(l/g) ⇒ g = 4π²l/T². For error propagation, % error in g = % error in l + 2 × % error in T. Assuming l measured precisely, % error in g ≈ 2 × (% error in T). % error in T = (0.1/2.0)×100% = 5%. Thus % error in g ≈ 2×5% = 10%. Memory tip: 'g ∝ 1/T² ⇒ %Δg = 2 × %ΔT'. This error analysis problem tests experimental physics skills, frequently appearing in competitive exams. Always apply power rule for error propagation: if Q ∝ xⁿ, %ΔQ = |n| × %Δx.

This question belongs to: Science Physics