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An electron is moving with an initial ve...

An electron is moving with an initial velocity `vecv=v_(0)hati` and is in a magnetic field `vecB=B_(0)hatj`. Then it's de-Broglie wavelength

A

remains constant

B

increases with time

C

decreases with time

D

increases and decreases periodically

Text Solution

Verified by Experts

The correct Answer is:
A
(a) : Here, `vec(v)=v_(0)hat(i),vec(B)=B_(0)hat(j)`
As this force is perpendicular to `vec(v)andvec(B)`, so the magnitude of `vec(v)` will not change. i.e., momentum (=mv) will remain constant in magnitude.
Therefore, de Broglie wavelength , `lamda(=(h)/(mv))` remeins constant.
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