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(a) Obtain the conditions under which an electron does not suffer any deflection while passing through a magnetic field.

(b) Two protons P and Q moving with the same speed pass through the       magnetic fields \vec{B_{1}} and \vec{B_{2}} respectively, at right angles to the field       directions. If \left | \vec{B_{2}} \right |> \left | \vec{B_{1}} \right |, which of the two protons will describe the       circular path of smaller radius? Explain.

 

 
 
 
 
 

Answers (1)

(a) An electron does not suffer any deflection while passing through a magnetic field when it is parallel or anti-parallel to the magnetic field.

(b) The radius of the circular path

R=\frac{mv}{qB}

\frac{R_{1}}{R_{2}}=\frac{B_{2}}{B_{1}}

Or,

R\propto \frac{1}{B}                [\because m,v and q are constant or same ]

Thus as,

B_{1}< B_{2}

Hence,

R_{2}< R_{1}

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Safeer PP

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