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CUET · PHYSICS · PYQ PAPER 2023

A galvanometer of \( 60 \, \Omega \) resistance shows full scale deflection for a current of 8 mA. The shunt required to convert the galvanometer into an ammeter of range 0 to 6 A will be :

  1. A \(4.67 \times 10^{-2} \, \Omega \)
  2. B \(5.67 \times 10^{-2} \, \Omega \)
  3. C \(2.67 \times 10^{-2} \, \Omega \)
  4. D \(8 \times 10^{-2} \, \Omega \)
Verified Solution

Answer & Solution

Correct Answer

(D) \(8 \times 10^{-2} \, \Omega \)

Step-by-step Solution

Detailed explanation

\( R_s = \frac{I_g R_g}{I - I_g} \) \( R_s = \frac{(8 \times 10^{-3} \, \text{A})(60 \, \Omega)}{6 \, \text{A} - 8 \times 10^{-3} \, \text{A}} \) \( R_s = \frac{0.48}{5.992} \) \( R_s \approx 8 \times 10^{-2} \, \Omega \)