CUET · PHYSICS · PYQ PAPER 2025
The capacitances of three capacitors are in the ratio 2:3:4. Their equivalent capacitance in parallel combination is more than the equivalent capacitance in series combination by (21/26) pF. The capacitances of the capacitors are, respectively:
- A 2.0 pF, 3.0 pF and 4.0 pF
- B 0.2 pF, 0.3 pF and 0.4 pF
- C 10 pF, 15 pF and 20 pF
- D 0.4 pF, 0.3 pF and 0.2 pF
Answer & Solution
Correct Answer
(B) 0.2 pF, 0.3 pF and 0.4 pF
Step-by-step Solution
Detailed explanation
\( C_1=2x, C_2=3x, C_3=4x \) \( C_p = C_1+C_2+C_3 = 2x+3x+4x = 9x \) \( \frac{1}{C_s} = \frac{1}{2x}+\frac{1}{3x}+\frac{1}{4x} = \frac{6+4+3}{12x} = \frac{13}{12x} \Rightarrow C_s = \frac{12x}{13} \) \( C_p - C_s = \frac{21}{26} \Rightarrow 9x - \frac{12x}{13} = \frac{21}{26} \)…
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