A proton and an α-particle are accelerated from rest to the same energy. The de-Broglie wavelengths 
and 
are in the ratio [NEET 2019]
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
The de-Broglie wavelength associated with a charged particle is given by
where, 
Planck's constant and
momentum 
(here, KE is the kinetic energy of the charged particle)
For proton and α-particle, the wavelengths are respectively given as
……..(i)
Here, 
and 
Substituting these above mentioned relations in Eq. (i), we get
or 
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