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Two particle, each having a mass m are p...

Two particle, each having a mass `m` are placed at a separation `d` in a uniform magnetic field `B` as shown in figure.They have opposite charges of equal magnitude `q`.At time t=0, the particles are projected towards each other, each with a speed `v`.
Find the maximum value `v_(m)` of the projection speed so that the two particle do not collide.

A

`(qBd)/(4m)`

B

`(2qBd)/m`

C

`(qBd)/m`

D

`(qBd)/(2m)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Two particle, each having a mass m are placed at a separation d in a uniform magnetic field B as shown in figure.They have opposite charges of equal magnitude q .At time t=0 , the particles are projected towards each other, each with a speed v . What would be the maximum separation between the particles if v=v_(m)/4 ?

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    `(5d)/2`
    B
    `(5d)/4`
    C
    `d/4`
    D
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  • Two particle, each having a mass m are placed at a separation d in a uniform magnetic field B as shown in figure.They have opposite charges of equal magnitude q .At time t=0 , the particles are projected towards each other, each with a speed v . What would be the minimum separation between the particles if v=v_(m)/4 ?

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  • Two particle, each having a mass m are placed at a separation d in a uniform magnetic field B as shown in figure.They have opposite charges of equal magnitude q .At time t=0 , the particles are projected towards each other, each with a speed v . At what instant will a collision occur between the particles if v=2v_(m) ?

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    B
    `(pim)/(qB)`
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    `(6pim)/(qB)`
    D
    `(pim)/(2qB)`

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