\(15\) \(\Omega\) અવરોધની \(coil\) ધરાવતા એક ગેલ્વેનોમીટરમાંથી જયારે \(5\) \(mA\) નો પ્રવાહ વહે છે,ત્યારે તે પૂર્ણ આવર્તન બતાવે છે. \(0-10 \) \(V \) ની અવધિના વોલ્ટમીટરમાં ફેરવવા માટે આ ગેલ્વેનોમીટરની શ્રેણીમાં લગાડવો પડતો અવરોધનું મૂલ્ય થશે.

A \(1.985 \times 10^3\) \(Ω\)
B \(2.045 \times 10^3 \) \( Ω\)
C \(2.535 \times 10^3 \) \(Ω\)
D \(4.005 \times10^3\) \( Ω\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(1.985 \times 10^3\) \(Ω\)

Step-by-step Solution

Detailed explanation

Given : Current through the galvanometer, \(i_{g}=5 \times 10^{-3} \,A\) Galvanometer resistance, \(G=15\, \Omega\) Let resistance \(R\) to be put in series with the galvanometer to convert it into a voltmeter. \(V=i_{g}(R+G)\) \(10= 5 \times 10^{-3}(R+15) \)…

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.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app