A solid sphere of mass \( 500 \, \text{g} \) and radius \( 5 \, \text{cm} \) is rotated about one of its diameter with angular speed of \( 10 \, \text{rad s}^{-1} \). If the moment of inertia of the sphere about its tangent is \( x \times 10^{-2} \) times its angular momentum about the diameter. Then the value of \( x \) will be ______.
