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A charged particle enters a uniform magnetic field with velocity vector making an angle of 30 degrees with the magnetic field the particle describes helical trajectory of pitch x. the radius of helix is??

A  charged particle enters a uniform magnetic field with velocity vector making an angle of 30 degrees with the magnetic field the particle describes helical trajectory of pitch x. the radius of helix is??

Grade:10

1 Answers

Arun
25763 Points
2 years ago
 
First do the velocity components in x and y direcn. respectively.
that are vcos30 and vsin30 m/s.
Now to cover the circular path motion, it uses the vertical velocity that is vsin30.
Hence Radius = m(vsin30)/qB => mv/2qB = L (given)
T = 2*pi*L/vsin30 => 4*pi*L/v
Pitch = vcos30 * T =>  4*pi*L/v * vcos30 =>  2root3 * pi * L meter

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