The cylindrical tube of a spray pump has a radius \(R,\) one end of which has \(n\) fine holes, each of radius \(r.\) If the speed of the liquid in the tube is \(v,\) the speed of the ejection of the liquid through the holes is:
1. \(\frac{vR^{2}}{n^{2}r^{2}}\)

2. \(\frac{vR^{2}}{nr^{2}}\)

3. \(\frac{vR^{2}}{n^{3}r^{2}}\)

4. \(\frac{v^{2}R}{nr}\)

Water rises to height 'h' in a capillary tube. If the length of capillary tube above the surface of the water is made less than 'h', then:

The heart of a man pumps 5 L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury is $13.6$ $\times {10}^3$ $\mathrm{kg}/{\mathrm{m}}^3$ $$ $\mathrm{and}$ $\mathrm{g}$ $=10$ $\mathrm{m}/{\mathrm{s}}^2$, then the power of the heart in watt is:

1. 1.70

2. 2.35

3. 3.0

4. 1.50

The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 x 10^-11 Pa^-1 and the density of water is 10³kg/m ³. What fractional compression of water will be obtained at the bottom of the ocean?

A wind with a speed of \(40\) m/s blows parallel to the roof of a house. The area of the roof is \(250\) m². Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be: (\(\rho_{\text {air }}=1.2\)${\mathrm{ }}_{}\mathrm{kg}/{\mathrm{m}}^3$)
1. \(4 \times 10^5\) N, downwards
2. \(4 \times 10^5\) N, upwards
3. \(2.4 \times 10^5\) N, upwards
4. \(2.4 \times 10^5\) N, downwards

A certain number of spherical drops of a liquid of radius \(\text{r}\) coalesce to form a single drop of radius \(\text{R}\) and volume \(\text{V}\). If \(\text{T}\) is the surface tension of the liquid, then: