JEE Main20198 Apr 2019Morning ShiftPhysicsDual Nature of MatterActual
Two particles move at right angle to each other. Their de Broglie wavelengths are λ 1 and λ 2 respectively. The particles suffer perfectly inelastic collision. The de Broglie wavelength λ of the final particle, is given by:
Options
- A2 λ = 1 λ 1 + 1 λ 2
- Bλ = λ 1 + λ 2 2
- Cλ = λ 1 λ 2
- D1 λ 2 = 1 λ 1 2 + 1 λ 2 2
Correct answer
D. 1 λ 2 = 1 λ 1 2 + 1 λ 2 2
Step-by-step solution
P 1 → = h λ 1 i ^ , P 2 → = h λ 2 j ^ P → = P 1 → + P 2 → = h λ 1 i ^ + h λ 2 j ^ P → = h 1 λ 1 2 + 1 λ 2 2 h λ = h 1 λ 1 2 + 1 λ 2 2 1 λ 2 = 1 λ 1 2 + 1 λ 2 2