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Two identical charged particles are proj...

Two identical charged particles are projected simul- taneously from origin in xy plane. Each particle has charge q and mass m and has been projected with velocity v as shown in the figure. There exists a uniform magnetic field B in negative z direction.
(i) Find `underset(V)to_(1).underset(V)to_(2)`at time t where `underset(V)to_(1) and underset(V)to_(2)` are velocities of the particles at time t.
Find `underset(V)to_(1).underset(V)to_(2)` at time `t=(pim)/(qB)` where `underset(r)to_(1).underset(V)to_(2)`are the position vectors of the two particles.

Text Solution

Verified by Experts

The correct Answer is:
`(i) (V_(2))/(2)`" "(ii) 2((mv)/(qB))^(2)`
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