Home Physics Atomic and Nuclear Physics JEE Main 2023 - ( Atomic Physics ) The radius of orbit of of Bohr's model is …
Physics Atomic and Nuclear Physics JEE Main 2023 - ( Atomic Physics ) MCQ (Single Correct)

The radius of orbit of of Bohr's model is and that of fourth orbit of is represented as . Now the ratio is . The value of is .

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The correct answer is:
CHECK THE SOLUTION.

(2)

The formula to calculate the radius ( r ) of any Bohr's orbit is given by

where, r o is Bohr's radius, is the principal quantum number and is the atomic number.
Thus, for Helium ion,

And, for the Beryllium ion,

Divide equation (iii) by equation (ii) to obtain the required ratio.

Hence

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