In an imeganary experiment, the Yound's modulus Y of a material is given by `Y=( tau cos thetaT^(x))/(l^(3))` where `tau` is the torque, `theta` is the angle of twist, T is the time perod and l is the length of the wire. What is the value of x ?

Explanation

`Y=( tau cos thetaT^(x))/(l^(3))rArrT^(x)=(Yl^(3))/( tau cos theta)rArr[T]^(x)=(ML^(-1)T^(-2)L^(3))/(ML^(2)T^(-2))=M^(0)L^(0)T^(0)rArrx=0`