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In cyclotron for a given magnet radius o...

In cyclotron for a given magnet radius of the semicircle traced by positive ion is directly proportional to (where v= velocity of positive ion)

A

`v^(-2)`

B

`v^(-1)`

C

`v`

D

`v^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

In cyclotron
Force on charge = centripetal force
`therefore " " Bqv = (mv^(2))/(r)` or `r = (mv)/(Bq)`
`r prop v`
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Knowledge Check

  • In a cyclotron, the gyro-radius is directly proportional to the

    A
    energy of the particle
    B
    strength of the magnetic field
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    linear momentum of the particle
    D
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  • The velocity of photon is proportional to (where v is frequency)

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    `(V^(2))/(2)`
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    `v`
  • The amount of ion dischargedf during electrolysis is directly proportional to :

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    Current
    D
    Chemical equivalent of the ion
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