CUET · PHYSICS · PYQ PAPER 2023

Internal resistance of a cell is:
A. decreases with increase in the distance between electrodes.
B. increases with increase in the area of electrodes inside electrolyte.
C. decreases with increase in temperature.
D. doesn't depend on the concentration of the electrolyte.
Choose the correct answer from the options given below:

A A only
B B only
C C only
D D only

Verified Solution

Answer & Solution

Correct Answer

(C) C only

Step-by-step Solution

Detailed explanation

The internal resistance of a cell decreases with an increase in temperature because the resistivity of the electrolyte decreases at higher temperatures, facilitating better ion flow. C. decreases with increase in temperature.

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

List I	List II
A. \(\frac{d^2 y}{d x^2}=\left(\frac{d y}{d x}\right)^{\frac{3}{2}}\)	I. order + degree \(=2\)
B. \(2\left(\frac{d^3 y}{d x^3}\right)^2+3\left(\frac{d^2 y}{d x^2}\right)+y\left(\frac{d y}{d x}\right)^2=e^x\)	II. order + degree \(=3\)
C. \(\frac{d y}{d x}+\frac{1}{d y / d x}=3\)	III. order + degree \(=4\)
D. \(\frac{d y}{d x}+x^2=5\)	IV. order + degree \(=5\)

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