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Two particles X and Y having equal charg...

Two particles `X` and `Y` having equal charges, after being acceleration through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii `R_1` and `R_2`, respectively. The ratio of the mass of `X` to that of `Y` is

A

`(R_1//R_2)^(1//2)`

B

`R_2//R_1`

C

`(R_1//R_2)^2`

D

`R_1//R_2`

Text Solution

Verified by Experts

`R=sqrt((2qVm)/(Bq)`
or `Rpropsqrtm`
or `R_1/R_2=sqrt(m_X/m_Y)`
or `m_X/m_Y=(R_1/R_2)^2`
`:.` correct option is c.
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