A charged particle enters a uniform magnetic field with velocity vector at an 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 2 π B) 2 pC) p 2 π D) 2 p π

Question

A charged particle enters a uniform magnetic field with velocity vector at an 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                  2            π      B)       2    pC)       p          2      π      D)                     2            p        π

Fislisb0a · Accepted Answer

The correct option is c:      p          2      π        p  =            2      π      m              B      q        (  v  cos  ⁡      45          ∘        )  =            2      π      m              B      q        (  v  sin  ⁡      45          ∘        )            m      v      sin      ⁡              45                  ∘                            B      q        =      p          2      π        =  radius of helix

A charged particle enters a uniform magnetic field with velocity vector at an angle of 45^{circ} with the magnetic field. The pitch of the helical path followed by the particle is p.

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