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A particle is moving in a vertical circl...

A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles `30^(@)` and `60^(@)` from vertical (lowest position) are `T_(1)` and `T_(2)` respectively, then

A

`T_1=T_2`

B

`T_2gtT_1`

C

`T_1gtT_2`

D

Tension in the string always remains the same

Text Solution

Verified by Experts

The correct Answer is:
C

Tension, `T=(mv^2)/(r )+mgcostheta`
For, `theta=30^@`,`T_1=(mv^2)/(r )+mgcostheta30^@`
`theta=60^@`,`T_2=(mv^2)/(r )+mgcos60^@` `because` `T_1gtT_2`
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