Shaft AB is 3 meter long andis free at the left end and fixed torsionally at the right end. It is subjected to variable torque as shown in the figure. The intensity of the torsional loading is given by q = 2x. The internal ‘ T, as a function of x is

A

$$T = x^2$$

B

$$T = 2x^2$$

C

$$T = 4x^2$$

D

$$T = 16 x^2$$