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Question: A particle of mass 4m at rest decays into two particle of masses m and 3 m having non- zero velociti...

A particle of mass 4m at rest decays into two particle of masses m and 3 m having non- zero velocities . The ration of the de Broglie wavelength of the particle 1 and 2 is :

A

12\frac{1}{2}

B

14\frac{1}{4}

C

2

D

1

Answer

1

Explanation

Solution

: According to law of conservation of linear momentum , two particles will have equal and opposite momentum

The de Broglie wavelength is given by

λ=hpλ1λ2=1\lambda = \frac{h}{p}\therefore\frac{\lambda_{1}}{\lambda_{2}} = 1