Physics

Problem

A charged particle of mass

m

and charge

q

enters a region of uniform magnetic field

B

with speed

v

making an angle

30^{\circ}

with the field lines. (i) Derive expressions for (a) the radius

r

of the circular component of the motion and (b) the pitch

p

of the helical path. (ii) State whether the helix traced by a positive charge in this situation is right-handed or left-handed with respect to the direction of the magnetic field. What would be the handedness for a negative charge? Give reasons for both answers. (iii) A deuteron

(m=3.34\times10^{-27}\,\text{kg},\; q=+e)

enters a

0.50\,\text{T}

field with speed

5.0\times10^{6}\,\text{m s}^{-1}

at the specified angle. Calculate the numerical values of

r

and

p

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