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A charged particle enters a uniform magn...

A charged particle enters a uniform magnetic field with velocity vector at angle of `45^@` with the magnetic field. The pitch of the helical path followed by the particle is p. the radius of the helix will be

A

`P/(sqrt(2)pi)`

B

`sqrt(2)P`

C

`P/(2pi)`

D

`(sqrt(2)P)/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
C

`(mvsintheta)/(qB)` & `P=(2pim vcostheta)/(qB)`
`:.r/P=(tantheta)/(2pi)=1/(2pi)`
`r=P/(2pi)`
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