A small spehre of mass `m` is connected by a stirng to a nail at `O` and moves in a circle of radius `r` on the smooth plane inclined at an angle ` theta` with the horizontal. If the sphere has a velocity `u` at the top position A. Mark the correct options.
1)the tension in the string as the sphere passes the 90∘ position B is equal to m( u^2/l − 2gsinθ )
2)the tension in the string at the bottom most position C is equal to
m( u^2/l + 5gsinθ )
3)the tension in the string as the sphere passes the 90∘ position B is equal to m( u^2/l + 2gsinθ )
4)the tension in the string at the bottom most position C is equal to
m( u^2/l − 5gsinθ )

Options

A. the tension in the string as the sphere passes the `90^(@)` position B is equal to `m((u^(2))/(l)-2gsin theta)`
B. the tension in the string at the bottom most position C is equal to `m((u^(2))/(l)+5g sin theta)`
C. the tension in the string as the sphere passes the `90^(@)` position B is equal to `m((u^(2))/(l)+2g sin theta)`
D. the tension in the string at the bottom most position C is equal to `m((u^(2))/(l)-5g sin theta)`

Answer

B, C