$A$ liquid flows in a tube from left to right as shown in the figure. $A_1$ and $A_2$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds $v_1/v_2$ will be

$A$ water spray gun is attached to a hose of cross-sectional area $30 \text{ cm}^2$. The gun comprises $10$ perforations, each of cross-sectional area $15 \text{ mm}^2$. If the water flows in the hose with a speed of $50 \text{ cm/s}$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

Water is flowing through two horizontal pipes of different diameters which are connected together. The diameters of the two pipes are $3\, cm$ and $6\, cm$ respectively. If the speed of water in the narrower pipe is $4\, m/s$ and the pressure is $2.0 \times 10^4\, Pa$,then the speed of water in the wider pipe is ........ $m/s$.

The Bhagirathi and the Alaknanda merge at Deoprayag to form the Ganga. The speeds of the Bhagirathi and the Alaknanda are in the ratio $1: 1.5$. The cross-sectional areas of the Bhagirathi,the Alaknanda,and the Ganga are in the ratio $1: 2: 3$. Assuming streamline flow,the ratio of the speed of the Ganga to that of the Alaknanda is

What is the effect on the velocity of a fluid if streamlines are closely spaced?

$A$ horizontal tube of non-uniform cross-section has radii of $0.1\,m$ and $0.05\,m$ respectively at $M$ and $N$. For a streamline flow of liquid, the rate of liquid flow is: