The figure shows the commonly observed decrease in diameter of a water stream as it falls from a tap. The tap has internal diameter `D_(0)` and is connected toa large tank of water. The surface of the water is at a height `b` above the end of the tap.
By considering the dynamics of a thin "cylinder" of water in the steam answer the following: (ignore any reistance to the flow and any effects of surface tansion, given `rho_(w) =` density of water)
Equation for the stream diameter `D` in terms of `x` and `D_(0)` will be :
A. `D = D_(0)((b)/(b + x))^(1//4)`
B. `D = D_(0)((b)/(b + x))^(1//2)`
C. `D = D_(0)((b)/(b + x))`
D. `D = D_(0)((b)/(b + x))^(2)`
