A sphere of mass 200 g is attached to an inextensible string of length 130 cm whose upper end is fixed to the ceilling . The sphere is made to describe a horizontal circle of radius 50 cm Calculate the periodic time of this conical pendulum and the tension in the string .

Options

A. `1.2 s`
B. `2.2 s`
C. `1.5 s`
D. `3 s`

Answer

B

Explanation

`m=0.2 kg , l_(1)=130 cm, T=2 pi sqrt((l cos theta)/(g))`
`h^(2)=l^(2)-r^(2)`
`=1.69-0.25`
`h^(2)=1.44`
`h=1.2`
`T=2pi sqrt((h)/(g))`
`2 pi sqrt((1.2)/(9.8))=2xx1.1=2.2 s `