A particle is moving in a vertical circle with constant speed. The tansions 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

Options

A. `T_(1)=T_(2)`
B. `T_(1)gtT_(2)`
C. `T_(1)ltT_(2)`
D. `T_(1)geT_(2)`

Answer

B

Explanation

Tension `T=(mv^(2))/(r)+ mg cos theta`
for `theta=30^(@) T_(1)=(mv_(1)^(2))/(r)+mg cos 30^(@)`
`theta=60^(@) T_(2)=(mv_(1)^(2))/(r) mg cos 60^(@)`
`v_(1)gtv_(2)` and `cos 30^(@)gtcos60^(@)`
`rArrT_(1)gtT_(2)`