Medium MCQ +4 / -1 PYQ · JEE Mains 2022

A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of :

(Given, Planck's constant = 6.6 $\times$ 10$-$34 Js).

  1. A 2.10 $\times$ 10<sup>$-$34</sup> Js
  2. B 1.05 $\times$ 10<sup>$-$34</sup> Js Correct answer
  3. C 3.15 $\times$ 10<sup>$-$34</sup> Js
  4. D 4.2 $\times$ 10<sup>$-$34</sup> Js

Solution

<p>$- 13.6 + 10.2 = {{ - 13.6} \over {{n^2}}}$</p> <p>$\Rightarrow {{13.6} \over {{n^2}}} = 3.4$</p> <p>$\Rightarrow n = 2$</p> <p>$$ \Rightarrow \Delta L = 2 \times {h \over {2\lambda }} - 1 \times {h \over {2\lambda }}$$</p> <p>$= {h \over {2\lambda }}$</p> <p>$\Rightarrow \Delta L \simeq 1.05 \times {10^{ - 34}}$ Js</p>

About this question

Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom

This question is part of PrepWiser's free JEE Main question bank. 184 more solved questions on Atoms and Nuclei are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →