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A charged particle P leaves the origin w...

A charged particle P leaves the origin with speed `v=v_0` at some inclination with the x-axis. There is a uniform magnetic field B along the x-axis. P strikes a fixed target T on the x-axis for a minimum value of `B=B_0`. P will also strike T if

A

(i), (ii)

B

(ii), (iii)

C

(i), (iii)

D

(i), (iv)

Text Solution

Verified by Experts

The correct Answer is:
A

`p = v_(0) cos theta T = v_(0) cos theta. (2pi m)/(B_(0) q)`
The particle will strike `T`, if `d` is integral multiple of pitch `p`.
`d = k(v//B), k`: constant
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