Two particles `A and B` of masses ` m_(A) and m_(B)` respectively and having the same charge are moving in a plane . The speeds of the particles are ` v_(A) and v_(B)` respectively and the trajectories are as shown in the figure. Then
A
` m_(A) v_(A) lt m_(B) v_(B) `
B
` m_(A) v_(A) gt m_(B) v_(B)`
C
` m_(A) v_(A) lt m_(B) and v_(A) lt v_(B) `
D
` m_(A) = m_(B) and v_(a) = v_(B)`
Text Solution
Verified by Experts
The correct Answer is:
B
KEY COCNCEPT: When a charged particle is moving at right angles to the magnetic field then a force acts on it which behaves as a centripetal force and moves the particle in circular motion . :. ` (m_(A)v^(2)A)/(r_(A)) = q .v_(A)B :. ( m_(A)v_(A))/(r_(A) = q_(B) ` ` (m_(B)v_(B))/(r_(B) = q^(B)` rArr `(m_(A)v_(A))/(r_(A)) = ( m_(B)v_(B))/(r_(B))` ` r_(A)gt r_(B)` rArr m_(A)v_(A) gt m_(B) v_(B) `
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