Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are λ 1 and λ 2 , their de Broglie wavelength in the frame of reference a

Question

Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are λ 1 ​ and λ 2 ​ , their de Broglie wavelength in the frame of reference attached to their centre of mass is:

TestHub · Accepted Answer

Momentum (p) of each electron λ 1 ​ h ​ i ^ and λ 2 ​ h ​ j ^ ​ Velocity of centre of mass V cm ​ = 2 m λ 1 ​ h ​ i ^ + 2 m λ 2 ​ h ​ j ^ ​ ( ∵ p = mv ) Velocity of 1 st particle about centre of mass V 1 cm ​ = 2 m λ 1 ​ h ​ i ^ − 2 m λ 2 ​ h ​ j ^ ​ λ cm ​ = 4 λ 1 2 ​ h 2 ​ + 4 λ 2 2 ​ h 2 ​ ​ h ​ = λ 1 2 ​ + λ 2 2 ​ ​ 2 λ 1 ​ λ 2 ​ ​ ( ∵ λ = p h ​ )

Physics - Modern Physics Question with Solution | TestHub

Options:

Doubts & Discussion