Keeping the depth d constant, the width of a cantilever of length l of uniform strength loaded with a uniformly distributed load w varies from zero at the free end and

A

$$\left(\frac{2w}{\sigma d^{2}}\right) * l^{2}$$ at the fixed end

B

$$\left(\frac{3w}{\sigma d^{2}}\right) * l^{2}$$ at the fixed end

C

$$\left(\frac{3w}{\sigma d }\right) * l^{2}$$ at the fixed end

D

$$\left(\frac{5w}{\sigma d}\right) * l^{2}$$ at the fixed end