A unity feedback system has an open loop transfer function, G(s) =  k/s2The root locus plot isSelect one:a. Bb. Ac. Cd. D

To determine the root locus plot for the given open loop transfer function, G(s) = k/s^2, we can follow these steps:

Step 1: Identify the characteristic equation. The characteristic equation is given by 1 + G(s) = 0.

Step 2: Rewrite the transfer function in terms of the characteristic equation. The transfer function can be written as 1 + k/s^2 = 0.

Step 3: Determine the poles of the transfer function. The poles of the transfer function are the values of s that make the denominator equal to zero. In this case, the poles are s = 0.

Step 4: Determine the zeros of the transfer function. The zeros of the transfer function are the values of s that make the numerator equal to zero. In this case, there are no zeros.

Step 5: Determine the number of branches in the root locus plot. The number of branches in the root locus plot is equal to the number of poles minus the number of zeros. In this case, there is one pole and no zeros, so there is one branch.

Step 6: Determine the asymptotes of the root locus plot. The asymptotes of the root locus plot can be determined using the angle criterion. In this case, since there is only one pole, there will be no asymptotes.

Step 7: Determine the breakaway and break-in points. The breakaway and break-in points are the points on the real axis where the root locus branches start or end. In this case, since there is only one pole, there are no breakaway or break-in points.

Step 8: Sketch the root locus plot. Based on the information obtained from the previous steps, we can sketch the root locus plot. Since there is only one pole, the root locus plot will consist of a single branch starting at the origin and moving towards the left along the real axis.

Therefore, the correct answer is option B.