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Q.

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 λ1 and λ2 respectively. Now,

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a

λ1>λ2

b

λ1=λ2

c

λ1<λ2

d

λ1 can be greater than or less than λ2

answer is D.

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Detailed Solution

detailed_solution_thumbnail

Speed of electron which enters into electric field may increase or decrease depending on direction of electric field while for second electron, since magnetic force is perpendicular to direction of velocity, it remains constant.

 So, from λ=hmv

λ1>λ2 or λ1<λ2

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