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AP EAMCET202315 May 2023Morning ShiftPhysicsDual Nature of MatterActual

The velocity of a particle A is 3 times the velocity of proton. If the ratio of the de Broglie wavelengths of the particle A and the proton is 3:2, the mass of the particle A is ( m _ p - mass of proton)

Options

  1. A2 9 ~m _ p
  2. B2 3 ~m _ p
  3. C2 5 ~m _ p
  4. D2 7 ~m _ p

Correct answer

A. 2 9 ~m _ p

Step-by-step solution

De-Broglie wavelength = h p or 1 mv aligned & _ A _ P = m _ p v _ p m _ A v _ A or, 3 2 = m _ p v _ p m _ A 3 v _ p 3 2 = m _ p 3 ~m _ A & m _ A = 2 9 ~m _ p aligned

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