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Two particles X and Y having equal charg...

Two particles X and Y having equal charges, after being accelerated 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 masses of X and Y is

A

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

B

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

C

`(R_2)/(R_1)`

D

`(R_1)/(R_2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`R=(mv)/(q B)=(sqrt(2mqV))/(q B)=(1)/(B) (sqrt(2mV))/(q)`
For same charge and potential difference , `Rprop sqrt(m)rArr (R_1)/(R_2)=sqrt((m_1)/(m_2)`
`therefore (m_1)/(m_2)=((R_1)/(R_2))^2` .
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