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A particle of mass m, charge q and kinet...

A particle of mass m, charge q and kinetic energy T enters in a transverse uniform magnetic field of induction B. After the 3 s, the kinetic energy of the particle will be

A

T

B

4 T

C

3 T

D

2 T

Text Solution

Verified by Experts

The correct Answer is:
A

`vecF=q(vec vxxvecB)`, i.e. magnetic force is perpendicular to both velocity and magnetic field. A force `_|__(r)`, to `vecV` does no work or no power delivered by force which is `_|__(r), vecVA` hence no kinetic energy or speed will change since
`P=vecF.vecV=0`
As `vecF _|__(r),vecV_|__(r),vec(dr)`
or `dW=vecF.vec(dr)=0`
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