NEET · Chemistry · STD 11 - 2. structure of atom

Based on equation \(E = - 2.178 \times 10^{-18} \ J \ \left( {\frac{{{Z^2}}}{{{n^2}}}} \right)\) certain conclusions are written. Which of themis not correct?

A Equation can be used to calculate the change in energy when the electron changes orbit.
B For \(n = 1,\) the electron has a more negative energy than it does for \(n = 6\) which means that the electron is more loosely bound in the smallest allowed orbit.
C The negative sign in equation simply means that the energy of electron bound to the nucleus is lower than it would be if the electrons were at the infinite distance from the nucleus.
D Larger the value of \(n,\) the larger is the orbit radius.

Verified Solution

Answer & Solution

Correct Answer

(B) For \(n = 1,\) the electron has a more negative energy than it does for \(n = 6\) which means that the electron is more loosely bound in the smallest allowed orbit.

Step-by-step Solution

Detailed explanation

for \(n=1\) the electron has more negative energy than it does for \(n=6\) which means that the electrons less loosely bound in the smallest allowed orbit.

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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