(D) The radius of the $n^{th}$ Bohr orbit is given by the formula: $r_n = \frac{n^2 \times 0.529 \mathring{A}}{Z}$.For the hydrogen atom,the atomic nu

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(D) The radius of the $n^{th}$ Bohr orbit is given by the formula: $r_n = \frac{n^2 \times 0.529 \mathring{A}}{Z}$.For the hydrogen atom,the atomic number $Z = 1$ and for the first orbit,$n = 1$.Substituting these values: $r_1 = \frac{1^2 \times 0.529 \mathring{A}}{1} = 0.529 \mathring{A}$.Rounding to two decimal places,we get $0.53 \mathring{A}$.Therefore,the correct option is $(d)$.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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The radius of the first Bohr's orbit of the hydrogen atom is ............. $\mathring{A}$.

A
$1.06$
B
$0.22$
C
$0.28$
D
$0.53$

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Class 11

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Chapter

Structure of Atom

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Atomic models and Planck's quantum theory

Explain the energy of a photon,the kinetic energy of an ejected electron,and the number of photons in the photoelectric effect.

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Which of the following relations is correct for the energy of the ground state of hydrogen-like species?

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Bohr's atomic model explains the spectrum of only $.......$.

Easy

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In the case of a hydrogen atom,when an electron falls from a higher energy level to the $M$ shell,the corresponding spectral line will form a part of:

Easy

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The speed of the electron (in $ms^{-1}$) in the third orbit of a hydrogen atom is approximately (mass of electron $= 9.1 \times 10^{-31} \ kg$).

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The radius of the first Bohr's orbit of the hydrogen atom is ............. $\mathring{A}$.

Similar Questions

Explain the energy of a photon,the kinetic energy of an ejected electron,and the number of photons in the photoelectric effect.

Which of the following relations is correct for the energy of the ground state of hydrogen-like species?

Bohr's atomic model explains the spectrum of only $.......$.

In the case of a hydrogen atom,when an electron falls from a higher energy level to the $M$ shell,the corresponding spectral line will form a part of:

The speed of the electron (in $ms^{-1}$) in the third orbit of a hydrogen atom is approximately (mass of electron $= 9.1 \times 10^{-31} \ kg$).

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