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A proton, a deuteron and an alpha-partic...

A proton, a deuteron and an `alpha`-particle with the same KE enter a region of uniform magnetic field, moving at right angles to B. What is the ratio of the radii of their circular paths ?

A

`1:sqrt(2):1`

B

`1:sqrt(2):sqrt(2)`

C

`sqrt(2) :1:1`

D

`sqrt(2):sqrt(2):1`

Text Solution

Verified by Experts

The correct Answer is:
A
`rp=(sqrt(2m_(p)K))/(eB)`
`rd=(sqrt(2(2m_(p))K))/(eB)`
`r_(alpha)=(sqrt(2(4m_(p))K))/((2e)B)`
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Knowledge Check

  • A proton, a deuteron and alpha - particle with the same kinetic energy enter a region of uniform magetic field moving a angle to B. What is the ratio of the radii of their path ?

    A
    `1 : sqrt(2) : 1`
    B
    `1 : sqrt(2) : sqrt(2)`
    C
    `sqrt(2) : 1 : 1`
    D
    `sqrt(2) : sqrt(2) : 1`

  • A proton, a ceuteron and an ac-particle accelerated through the same potential difference enter a region of uniform magnetic field, moving at right angles to B. What is the ratio of their K.E.?

    A
    `2:1:1`
    B
    `2:2:1`
    C
    `1:2:1`
    D
    `1:1:2`

  • A proton, a deutron and an alpha - particle accelerated through the same potential difference enter a region of uniform magnetic field, moving at right angles to it. What is the ratio of their kinetic energy?

    A
    `1:1:2`
    B
    `2:2:1`
    C
    `1:2:1`
    D
    `2:1:1`

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