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CUET · PHYSICS · PYQ PAPER 2023

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of two wires are in the ratio of 4:3 and 2:3 respectively, the ratio of the currents in the wires will respectively be:

  1. A 3 : 1
  2. B 1 : 3
  3. C 8 : 9
  4. D 2 : 1
Verified Solution

Answer & Solution

Correct Answer

(B) 1 : 3

Step-by-step Solution

Detailed explanation

\( R = \rho \frac{L}{\pi r^2} \) \( \frac{I_1}{I_2} = \frac{R_2}{R_1} = \frac{L_2}{L_1} \left(\frac{r_1}{r_2}\right)^2 \) \( \frac{I_1}{I_2} = \frac{3}{4} \left(\frac{2}{3}\right)^2 = \frac{3}{4} \times \frac{4}{9} = \frac{1}{3} \)
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