NTA Abhyas JEE Main2020PhysicsAtomic PhysicsPractice
A travelling nucleus A having a de-Broglie wavelength λ A spontaneously splits into two nuclei B and C of equal masses. After the split, B travels in the same direction while C travels in the opposite direction with a speed equal to half of B . The values of the de-Broglie wavelengths λ B and λ C will be
Options
- Aλ A ,   2 λ A
- Bλ A 2 ,   λ A
- Cλ A ,   λ A 2
- D2 λ A ,   λ A
Correct answer
B. λ A 2 ,   λ A
Step-by-step solution
A → u ← v / 2 C B → v 2 m m m Applying conservation of linear momentum 2 m u = m v - m v 2 So, λ A = h 2 mu λ B = h mv = λ A 2 λ C = h m v 2 = λ A