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A coin, placed on a rotating turntable s...

A coin, placed on a rotating turntable slips, when it is placed at a distance of `9cm` from the center. If the angular velocity of the turnable is tripled, it will just slip, If its distance from the center is

A

27 cm

B

9 cm

C

3 cm

D

1 cm

Text Solution

Verified by Experts

The correct Answer is:
D
in the given condition friction provides the required centripetal force and that is constnat , i.e. `momega^(2) r=` constant.
`rArr r prop 1/omega^(2)`
`:. r_(2) =r_(2) ((omega_(1))/(omega_(2)))^(2)=9 ((1)/(3))^(2)= 1cm`
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