JEE Main 2023 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 10 April 2023, Shift 1, Physics Q46

Question 46 of 90 in this shift, Physics question 16 of 30, Section A.

The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is

\lambda_1

. If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes

(1) $\frac{1}{2}\lambda_1$
(2) $2\lambda_1$
(3) $\frac{1}{\sqrt{2}}\lambda_1$ Official answer
(4) $\sqrt{2}\,\lambda_1$

Official answer

Option 3

NTA final key.

Chapter: Dual Nature of Radiation and Matter
Topic: Matter Waves
Idea tested: Thermal De Broglie Wavelength

Same topic in other shifts

All Matter Waves questions

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5 Apr 2026, Shift 2 · Q43An electron is travelling with a velocity $v$ in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie…EasySingle correct
6 Apr 2026, Shift 2 · Q47The de Broglie wavelength for an electron accelerated through the potential difference of $V_1$ volt is $\lambda_1$ . When the potential…EasyNumerical value
2 Apr 2025, Shift 2 · Q33An electron with mass $m$ with an initial velocity $(t=0)$ $\vec{v} = v_0\hat{i}$ $(v_0 > 0)$ enters a magnetic field…MediumSingle correct
7 Apr 2025, Shift 2 · Q43A photoemissive substance is illuminated with a radiation of wavelength $\lambda_i$ so that it releases electrons with de-Broglie…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.