Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is
. If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes
Text Solution
Verified by ExpertsThe correct answer is:
C
The root mean squared velocity of a gas is given by


Let T 1 = 300 K
T 2 = 600 K
Taking velocity ratios at the given temperatures,

The de Broglie wavelength is given by
. So,

The ratio of the wavelengths is


Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the …
Particle of mass moving along the x -axis with velocity collides elastically with another partic…
An electron, a doubly ionized helium ion and a proton are having the same kinetic energy. The rela…
An electron & a photon have same energy . Find the ratio of de Broglie wavelength of electron to w…
Kinetic energy of the particle is E and it’s De-Broglie wavelength is . On increasing it's KE by ∆…
An electron of mass m and magnitude of charge |e| initially at rest gets accelerated by a constant …