CUET · CHEMISTRY · PYQ PAPER 2023

Zeolite can be used to soften hard water when :

A \(Ca^{2+}\) or \(Mg^{2+}\) ion in zeolite are replaced by \(Na^+\) ions in hard water
B \(Ca^{2+}\) ions in zeolite are replaced by \(Mg^{2+}\) ions in hard water
C \(Na^+\) ions in zeolite are replaced by \(Ca^{2+}\) and \(Mg^{2+}\) ions in hard water
D None is correct

Verified Solution

Answer & Solution

Correct Answer

(C) \(Na^+\) ions in zeolite are replaced by \(Ca^{2+}\) and \(Mg^{2+}\) ions in hard water

Step-by-step Solution

Detailed explanation

\(Na^+\) ions in zeolite are replaced by \(Ca^{2+}\) and \(Mg^{2+}\) ions in hard water

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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List-I	List-II
(A) Degree of this differential equation \(\frac{d^4 y}{d x^4}+2 \log _e\left(\frac{d^3 y}{d x^3}\right)=0\)	(I) 1
(B) Order of this differential equation \(e^{\left(\frac{dy}{dx}\right)^3}+3 y\left(\frac{d^2 y}{d x^2}\right)^3=0\)	(II) 4
(C) Degree of \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^2=0\)	(III) not defined
(D) Order of the differential equation \(2 \frac{d^4 y}{d x^4}+\left(\frac{d^2 y}{d x^2}\right)^5=0\)	(IV) 2

Choose the Correct answer from the options given below :

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