અર્ધ-આવર્તન રીત દ્વારા ગેલ્વેનોમીટરનો અવરોધ નક્કી કરવાના પ્રયોગમાં, \(1/\theta\) વિરુદ્ધ અવરોધ પેટીના અવરોધ \((R)\) નો આલેખ આકૃતિમાં દર્શાવેલ છે. ગેલ્વેનોમીટરનો ચલતાંક _______ \(\times 10^{-1}\) A / division છે. [પ્રાપ્તિસ્થાનનું વિદ્યુત વાહક બળ (emf) 2V છે]

A \(5\)
B \(6\)
C \(7\)
D \(8\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(5\)

Step-by-step Solution

Detailed explanation

\(i=K \theta\) \(\frac{2}{G+R}=K \theta\) \(\Rightarrow \frac{1}{\theta}=\frac{(G+R) K}{2}=R\left(\frac{K}{2}\right)+\frac{K G}{2}\) \(\text {Slope }=\frac{K}{2}=\frac{1}{4} \Rightarrow K=0.5=5 \times 10^{-1} A\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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