NEET · Physics · STD 12 - 3. current electricity

Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area \(A_{1}\) and the other one has a square cross section of area \(A_{2}\). The ratio \(\frac{A _{1}}{A _{2}}\) is

A \(2\)
B \(1.5\)
C \(1\)
D \(0.8\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(1\)

Step-by-step Solution

Detailed explanation

Resistance of conductor is given as \(R=\frac{\rho l}{A}\)

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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Match List I with List II:

\(\text{List - I (Ion)}\)	\(\text{List - II (Group Number}\) \(\text{in Cation Analysis)}\)
A. \(\text{Co} ^{2+}\)	(I) \(\text{Group - I}\)
B. \(\text{Mg} ^{2+}\)	(II) \(\text{Group - III}\)
C. \(\text{Pb} ^{2+}\)	(III) \(\text{Group - IV}\)
D. \(\text{Al} ^{3+}\)	(IV) \(\text{Group - VI}\)

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