Question
Download Solution PDFA deuteron and α-particle have the same kinetic energy then find the ratio of their de-Broglie wavelength?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
According to the De-Broglie hypothesis, particles behave as waves & these are called matter waves. The wavelength of the particle is called De-Broglie wavelength and it is given as
Where m = mass of the charged particle and KE = Kinetic energy
Calculation:
A deuteron and α-particle have the same kinetic energy then KE1 = KE2
=
Where; mp is the mass of a proton.
Note:
1). Mass of deuteron is 2 times of proton mass and the Charge of the deuteron is equal to the charge of the proton.
2). Mass of α-particle is 4 times of proton mass and the Charge of the α-particle is equal to the 2 times of charge of the proton.
Last updated on Jun 19, 2025
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