JEE Mains · Chemistry · STD 11 - 2. structure of atom

Given below are two statements. Statement \(I:\) According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus. Statement \(II:\) According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in principal quantum number. In the light of the above statements, choose the most appropriate answer from the options given below:

A Both Statement \(I\) and Statement \(II\) are false
B Both Statement \(I\) and Statement \(II\) are true
C Statement \(I\) is false but Statement \(II\) is true
D Statement \(I\) is true but Statement \(II\) is false

Verified Solution

Answer & Solution

Correct Answer

(C) Statement \(I\) is false but Statement \(II\) is true

Step-by-step Solution

Detailed explanation

Velocity of electron in Bohr's atom is given by \(\mathrm{V} \propto \frac{\mathrm{Z}}{\mathrm{n}}\) \(Z=\) atomic number of atom, corresponds to \(+v e\) charge so as \(Z\) increase velocity increases so statement\(-I\) is wrong. and as \('n'\) decreases velocity increases so…

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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