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Q.

An electron moves around another charge in closed orbit. The de-Broglie wavelength of electron varies cyclically between two values λ1 and  λ2 with λ1>λ2.  Which of the following statements are true?

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a

Electron could be moving in elliptical orbit around the other charge.

b

If electron is moving in an elliptical orbit then de-Broglie wavelength of electron is λ1 when it is at the farthest point and when electron is nearer the other charge then its value is  λ2.

c

Total energy of the system is constant. 

d

Electron could be moving in circular orbit around the other charge

answer is B, C, D.

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Detailed Solution

detailed_solution_thumbnail

In circular orbit, speed of  e will be constant and so will its de-Broglie wavelength. In elliptical orbit the other charge will be at one of foci of ellipse

Question Image

As the force is radial the total energy of the system will be constant.

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