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 An electron is moving with an initial velocity v = v0i and is in a magnetic field B = B0j. Then, its de-Broglie wavelength
(a) remains constant
(b) increases with time
(c) decreases with time
(d) increases and decreases periodically

Answers (1)

The answer is the option (a)
\vec{v}=v_{0}\hat{i}\: \: \: \: \: B=B_{0}\hat{j}

 Force on the electron in perpendicular magnetic field B is

F=-e\left (\vec{v} X \vec{B} \right )
=-ev_{0}B_{0}k

Therefore, the force is perpendicular to v and B both. The de-Broglie wavelength will not change.

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