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_(2) gt T_(1)`
C. `T_(1) gt T_(2)`
D. Tension in the string always remains the same

Answer

C

Explanation

Since, `T - mg cos theta = (mv^(2))/r`
`rArr T = (mv^(2))/r + mg cos theta`
For `theta = 30^(@), T_(1) = (mv^(2))/r + (mgsqrt(3))/2`
Hence, `T_(1) gt T_(2)`