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Two particles of equal masses are revolv...

Two particles of equal masses are revolving in circular paths of radii `r_(1)` and `r_(2)` respectively with the same speed. The ratio of their centripetal foces is

A

`r_(2)//r_(1)`

B

`sqrt(r_(2)//r_(1))`

C

`(r_(1)//r_(2))^(2)`

D

`(r_(2)//r_(1))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`F_(1)=(v^(2))/(r_(1)),F_(2)=(v^(2))/(r_(2))`
`(F_(1))/(F_(2))=((v^(2))/(r_(1)))/((v^(2))/(r^(2)))=(r_(2))/(r_(1))`
`(F_(1))/(F_(2))=(r_(2))/(r_(1))`
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