Student Login

Home›Chapters›Atomic Structure PYQs›Bohr Model: Orbits, Speed & Angular Momentum›Question 33

JEE Main 2025 (4 Apr, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from JEE Main 2025 (4 Apr, Shift 1)

Q33JEE Main 2025 · 4 APR · SHIFT 1Easy

Bohr Model: Orbits, Speed & Angular Momentum

Considering the Bohr model of hydrogen like atoms, the ratio of the radius of $5$ th orbit of the electron in $\text{Li}^{2+}$ and $\text{He}^{+}$ is

Show answer and solution

Answer: (b)

$r_n = \dfrac{n^2 a_0}{Z}$ ; same $n = 5$ , so $r \propto \dfrac{1}{Z}$ .
$\dfrac{r_{\text{Li}^{2+}}}{r_{\text{He}^+}} = \dfrac{Z_{\text{He}}}{Z_{\text{Li}}} = \dfrac{2}{3}$
So the answer is (b).

Report a mistake

More questions on Bohr Model: Orbits, Speed & Angular Momentum

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li⁺⁺…JEE Main 2025 (2 Apr, Shift 2)
The frequency of revolution of an electron in the n th orbit of hydrogen atom isMHT CET 2025 (19 Apr, Shift 2)
The frequency of revolution of the electron in Bohr's orbit varies with n, the principal…JEE Main 2025 (28 Jan, Shift 2)
The magnetic moment of electron due to orbital motion is proportional to ( n = principal…MHT CET 2025 (26 Apr, Shift 2)
In hydrogen atom in its ground state, the first Bohr orbit has radius ' r₁ '. When the…MHT CET 2025 (25 Apr, Shift 2)
The ratio of angular momentum of an electron in n th orbit of hydrogen atom to the…MHT CET 2025 (20 Apr, Shift 2)
Using Bohr's quantization condition, the rotational kinetic energy in the third orbit for…MHT CET 2025 (21 Apr, Shift 2)
A particle of mass m is moving around the origin with a constant force F pulling it…NEET 2025