Em Waves Question 79

Question: Two electrons are moving with same speed v. One electron enters a region of uniform electric field while the other enters a region of uniform magnetic field, then after some time de Broglie wavelengths of two are $ {\lambda _{1}} $ and $ {\lambda _{2}} $ , respectively. Now,

Options:

A) $ {\lambda _{1}}={\lambda _{2}} $

B) $ {\lambda _{1}}>{\lambda _{2}} $

C) $ {\lambda _{1}}<{\lambda _{2}} $

D) $ {\lambda _{1}} $ can be greater than or less than $ {\lambda _{2}} $

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Answer:

Correct Answer: D

Solution:

[d] Speed of electron which enters into electric field may increase or decrease while for second electron, it remains constant. So, from $ \lambda =\frac{h}{mv’} $

$ {\lambda _{1}}>{\lambda _{2}} $ Or $ {\lambda _{1}}<{\lambda _{2}} $