A mass is supported on a frictionless horizontal surface. It Is attached to a string and rotates about a fixed center at an angular velocity `omega_(0)`.If the length of the string and angular velocity both are doubled, the tension in the string which was initially `T_(0)` is now

Options

A. T
B. `T//2`
C. 4 T
D. 8 T

Answer

D

Explanation

`(T_(2))/(T_(1))=(r_(2)m omega_(2)^(2))/(r_(1)m omega_(1)^(2))=(2r_(1))/(r_(1))xx(4 omega_(1)^(2))/(omega_(1)^(2))`
`T_(2)=8T`.