Correct answer is (a) R = Re (W/B)^0.61
For explanation: For purely alluvial streams, the Lacey’s scour depth (R) is given by R = 1.35 (q^2/f)^1/3 where q is the discharge intensity per unit width of the stream at the bridge site.
The value of Lacey’s regime scour depth (Re) is given by R = Re (W/B)^0.61.