AP EAMCET · Chemistry · Structure of Atom

On the basis of Bohr's model, the radius of the $3^{rd}$ orbit is

A Equal to the radius of $1^{st}$ orbit
B $3$ times the radius of $1^{st}$ orbit
C $5$ times the radius of $1^{st}$ orbit
D $9$ times the radius of $1^{st}$ orbit

Verified Solution

Answer & Solution

Correct Answer

(D) $9$ times the radius of $1^{st}$ orbit

Step-by-step Solution

Detailed explanation

So we know the concept of bohr's orbital theory the radius of nth orbit is r = 0.53 n2z Where we know that n=Number of orbit z = atomic number So for 3rd orbit the radius is r = 0.53×9z So from above we know that 3rd orbit radius is 9 times the…

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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On the basis of Bohr's model, the radius of the 3rd orbit is

Step-by-step Solution

On the basis of Bohr's model, the radius of the $3^{rd}$ orbit is