Physics Q49 – NEET-UG 2023 | StemCET

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Home Physics AtomsQuestion #23

The radius of inner most orbit of hydrogen atom is

5.3 \times 10^{- 11}

m. What is the radius of third allowed orbit of hydrogen atom?

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Ninja Strategy•Bohr Radius Proportionality

Recognize that the radius of an orbit in a hydrogen atom is proportional to the square of the principal quantum number ( $r_{n} \propto n^{2}$ ). Thus, $r_{3}$ must be $3^{2} = 9$ times $r_{1}$ . Only option (4) is $9 \times 0.53 Å = 4.77 Å$ .