Magnetic Effects Of Current Question 411

Question: Two identical particles having the same mass m and charges +q and -q separated by a distance d enter a uniform magnetic field B directed perpendicular to paper inwards with in speeds $ v_{1} $ and $ v_{2} $ as shown in Fig. The particles will not collide if

Options:

A) $ d>\frac{m}{Bq}(v_{1}+v_{2}) $

B) $ d<\frac{m}{Bq}(v_{1}+v_{2}) $

C) $ d>\frac{2m}{Bq}(v_{1}+v_{2}) $

D) $ v_{1}=v_{2} $

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Answer:

Correct Answer: C

Solution:

[c] The particle will not collide if $ d>2(r_{1}+r_{2}) $ or $ d>2( \frac{mv_{1}}{Bq}+\frac{mv_{2}}{Bq} ) $ or $ d>\frac{2m}{Bq}(v_{1}+v_{2}) $