If two particles A and B are moving with the same velocity, but wavelength of A is found to be double than…

If two particles A and B are moving with the same velocity, but wavelength of A is found to be double than that of B. Which of the following statements are correct?
  1. Both A and B have same mass
  2. Mass of A is half that of B
  3. Mass of B is half that of A
  4. Mass of B is one-fourth that of A

Solution

So according to the De brogli's we know the relation between momentum and wavelength which is 

λ = hmv

If both particle have same velocity but when wavelength of A is found to be double than that of B

Then relation between mass of both particle is 

λA = hmAvAλB = hmBvBλA = 2λB

Thus, relation is mass of A particle is half that of B particle

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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