WBJEE · Chemistry · Solid State

A compound formed by elements \(X\) and \(Y\) crystallises in the cubic structure, where \(X\) atoms are at the corners of a cube and \(Y\) atoms are at the centre of the body. The formula of the compounds is

A \(XY\)
B \(XY_{2}\)
C \(X_{2} Y_{3}\)
D \(X Y_{3}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(XY\)

Step-by-step Solution

Detailed explanation

Number of \(X\) atoms at the corners \(=8\) Number of \(X\) atoms per unit cell \(=8 \times \frac{1}{8}=1\) atom Number of \(Y\) atoms at the centre of the body \(=1\) atom Hence, the formula of the compound is \(X Y\).

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 WBJEE

Explore more questions on app