The length AB of a pipe ABC in which the liquid is flowing has diameter (d₁) and is suddenly contracted to diameter (d₂) at B which is constant for the length BC. The loss of head due to sudden contraction, assuming coefficient of contraction as 0.62, is

A. $$\frac{{{\text{v}}_1^2}}{{2{\text{g}}}}$$

B. $$\frac{{{\text{v}}_2^2}}{{2{\text{g}}}}$$

C. $$\frac{{0.5{\text{v}}_1^2}}{{2{\text{g}}}}$$

D. $$\frac{{0.375{\text{v}}_2^2}}{{2{\text{g}}}}$$

Answer: Option D