Question
Download Solution PDFThe masses of two particles having same kinetic energy are in the ratio of 2 ∶ 1. Their de Broglie wavelengths are in the ratio
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The de-Broglie wavelength is given by:
m is the mass of the particle
h is the plank's constant
v is the velocity of the particle
p = momentum.
As can be seen from the relation "The de-Broglie wavelength is inversely proportional to the mass of the particle and its velocity but is independent of the nature of the particle."
The Kinetic energy in terms of momentum is given as:
Using the expression of momentum (p) in K.E.
Calculation:
Given,
K.E. (1st object) = K.E. (2nd Object)
The ratio of their masses =
We know that,
Since (K.E)1 = (K.E)2
Last updated on Jun 19, 2025
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