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A charge praticule of sepeific charge...

A charge praticule of sepeific charge (charge/ mass ) `alpha` is realsed from origin at time t=0 with velocity `v= v_(0)(hati+hatj)` in unifrom magnetic fields `B= B_(0)hati`. Co-ordinaties of the particle at time `t = (pi)/(B_(0)alpha)` are

A

`(V_(0)/(2B_(0)alpha),sqrt(2V_(0))/(alphaB_(0)),(-V_(0))/(B_(0)alpha))`

B

`((-V_(0))/(B_(0)alpha),0,0)`

C

`(0,(2V_(0))/(B_(0)alpha),(V_(0)pi)/(2B_(0)alpha))`

D

`((V_(0)pi)/(2B_(0)alpha),0, (-2V_(0))/(B_(0)alpha))`

Text Solution

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The correct Answer is:
D
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  • A charged particle of specific charge (charge/mass) alpha released from origin at time t=0 with velocity vec v = v_0 (hat i + hat j) in uniform magnetic field vec B = B_0 hat i. Coordinates of the particle at time t= pi//(B_0 alpha) are

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