First slide

Wave nature of matter

Question

An electron is moving through a field. It is moving (i) opposite an electric field (ii) perpendicular to a magnetic field as shown. For each situation the de-Broglie wave length of electron

Moderate

A

increasing, increasing
B

increasing, decreasing
C

decreasing, same
D

same, same

Solution

$λ = \frac{h}{m v}$ Since v is increasing in case (i), but it is not changing in case (ii). Hence, in the first case de-Broglie wavelength will change, but it second case, it remains the same

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