If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter 2 π c m then the Reynolds number for the flow is (density of water = 10 3 k g / m 3 a n d v i s c o s i t y o f w a t e r = 10 - 3 P a . s ) close to:

Step-by-step solution

Reynolds number R = ρ v D η D   =   Diameter of litre Also rate of flow =   v o l u m e t i m e = A   v V t =   π   D 2 4 × v   ⇒ v = 4 V π D 2 t ∴         R =   ρ   D η × 4   V π   D 2   t = 4   ρ   V π   η   D   t = 4 × 10 3 × 15 × 10 - 3 π × 10 - 3 × 2 × 5 × 60   π × 10 2 = 10000 &#96