A uniform rod of length L and mass M has been placed on a rough horizontal surface as shown in the figure. The rod is pulled by applying a horizontal force. The coefficient of friction `mu` between the surface and the rod is given by
`mu = {(mu_(0)x, 0 le x le L),(0, x > L):}`, where `mu_(0)` is a positive constant. The heat generated due to friction as the rod moves by a distance L is

Options

A. `(mu_(0)MgL^2)/(2)`
B. `mu_(0)MgL^(2)`
C. `(mu_(0)MgL^(2))/(3)`
D. `(mu_(0)MgL^(2))/(6)`

Answer

A