An electron is moving with a speed of ${10^8}\,m/\sec $ perpendicular to a uniform magnetic field of intensity $B$. Suddenly intensity of the magnetic field is reduced to $B/2$. The radius of the path becomes from the original value of $r$
A
No change
BReduces to $r / 2$
CIncreases to $2r$
D
Stops moving
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CIncreases to $2r$
c (c) $r \propto \frac{1}{B}$ i.e. $\frac{{{r_1}}}{{{r_2}}} = \frac{{{B_2}}}{{{B_1}}} \Rightarrow {r_2} = \frac{{{B_1}}}{{{B_1}/2}} \times r$=$ 2r$
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