Three resistors of 2Ω, 3Ω, and 6Ω are connected in parallel. The equivalent resistance is: MCQ with Answer and Explanation

Three resistors of 2Ω, 3Ω, and 6Ω are connected in parallel. The equivalent resistance is:
A.
B. 11Ω
C. 0.5Ω
D.
Answer: Option A
Solution (By JKSSB Mock Tests)
For parallel combination: 1/R_eq = 1/R₁ + 1/R₂ + 1/R₃ = 1/2 + 1/3 + 1/6 = (3+2+1)/6 = 6/6 = 1. Thus R_eq = 1Ω. Note: Equivalent resistance in parallel is always less than the smallest individual resistance (here 2Ω). Memory tip: 'Parallel: reciprocal sum; result < min(R)'. This standard calculation tests parallel resistance formula application, frequently appearing in competitive exams. Always simplify fractions carefully; common denominator method avoids errors. Verify: 1Ω < 2Ω, consistent with parallel behavior.

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Practice More Physics Questions

Question #1
If the length and cross-sectional area of a wire are both doubled, its resistance will:
A. Double
B. Halve
C. Remain unchanged
D. Quadruple

Correct Answer: Option C


Explanation:
Resistance (R) of a wire is given by R = ρL/A, where ρ is resistivity, L is length, and A is cross-sectional area. If L becomes 2L and A becomes 2A, the new resistance is R' = ρ(2L)/(2A). The 2s cancel out, leaving R' = ρL/A = R. Thus, the resistance remains entirely unchanged.

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Question #2
The decimal equivalent of binary number 1101 is
A. 11
B. 9
C. 13
D. 15

Correct Answer: Option C


Explanation:
1×8 + 1×4 + 0×2 + 1×1 = 13.

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Question #3
AC RMS value defined for equivalent:
A. Charge flow
B. Magnetic field
C. Heating effect
D. Voltage

Correct Answer: Option C


Explanation:
I_rms defined so I_rms²R = average power, same heating as DC current. For sine wave: I_rms = I₀/√2. Memory tip: 'RMS: heating equivalence; use RMS for power calculations'. AC fundamentals frequently tested in competitive exams.

This question belongs to: Science Physics