List of top Physics Questions on Bohr's model of hydrogen atom asked in JEE Main

The frequency of revolution of the electron in Bohr’s orbit varies with $ n $, the principal quantum number as:

Theratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hydrogen atom is:

An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is:

A stationary hydrogen atom deexcites from first excited state to ground state. Find recoil speed of hydrogen atom up to nearest integer value.
(mass of hydrogen atom = $1.8 \times 10^{-27}$ $kg$)

For below transition of e^–1 of H-atom find out shortest wavelength out of given transition

The wavelength of the radiation emitted is $\lambda_0$ when an electron jumps from the second excited state to the first excited state of hydrogen atom If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be $\frac{20}{x} \lambda_0$ The value of $x$ is

If the binding energy of ground state electron in a hydrogen atom is $136 eV$, then, the energy required to remove the electron from the second excited state of $Li ^{2+}$ will be : $x \times 10^{-1} eV$. The value of $x$ is

radius of 2^nd orbit of He⁺ of Bohr's model is r₁and that of fourth orbit of Be³⁺ is represented as r₂. Now the ratio$\frac{ r_2}{r_1} $is x: 1. The value of x is___.

The velocity of an electron in the seventh orbit of hydrogen-like atom is 3.6 × 10⁶ m/s. Find the velocity of the electron in the 3^rd orbit.

Given below are two statements:
Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit $(E_1)$ to higher energy orbit $(E_2)$, is given as $hf = E_1 – E_2.$
Statement II: The jumping of electron from higher energy orbit $(E_2)$ to lower energy orbit $(E_1)$ is associated with frequency of radiation given as
$f=\frac{(E_2−E_1)}{h}$ This condition is Bohr’s frequency condition.
In the light of the above statements, choose the correct answer from the options given below:

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked $A , B , C , D$ and $E$. The transitions $A, B$ and $C$ respectively represent :

In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, speed of the electron and total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n ?