Verified Solution • 2025–26 Session moderate

QJEEM19Phbba5: JEE Main 2019 Physics - Class 12 JEEM19Phbba5 Solution: A nucleus A, with a finite de-broglie wavelength λ A ,…

A nucleus A, with a finite de-broglie wavelength λA, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, while C flies in the opposite direction with a velocity equal to half of that of B. The de-Broglie wavelengths λB and λC of B and C are respectively :

Multiple Choice Options

  • A λA, 2λA
  • B 2λA, λA
  • C λA, λA/2
  • D λA/2, λA

Step-by-Step Verified Solution

Let mass of B and C is m each. By momentum conservation

2mv0=mv−mv2

v = 4v0
PA = 2mv0 pB = 4mv0 pc = 2mv0

De-Broglie wavelength λ=hp

λA=h2mv0; λB=h4mv0; λC=h2mv0

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