J J Science Academy

Subject: Physics Topic: 16. Fluids SubTopic: 16. 6 Equation of Continuity TestType: NEET

1. Water is flowing through a tube of non-uniform cross-section. If the radii of the tube at the entrance and exit are in the ratio $3: 2$, then the ratio of velocity of liquid entering and leaving the tube is

1) 1:1 2) $4: 9$ 3) $9: 4$ 4) $8: 27$

2. A capillary tube is attached horizontally to a constant pressure head arrangement, If the radius of the capillary tube is increased by $10 \%$, then the rate of flow of the liquid shall change nearly by

1) +10% 2) $+46 \%$ 3) $-10 \%$ 4) $-40 \%$

3. The velocity of a fluid, in a pipe of radius of cross section $r$, is $v$. If the radius of cross section was $(1 / \sqrt{ } 2)$ times, the velocity of the fluid will be

1) $\sqrt{2} V$ 2) 2 V 3) $2 \sqrt{2} V$ 4) 4 V

4. A pipe has non uniform cross section. $10 cc / sec$ of liquid flows through the pipe, where the area of cross section is $0.5 cm^{2}$. The rate of flow, where the cross section is $1 cm^{2}$, will be

1) $2.5 cc / sec$ 2) $5 cc / sec$ 3) $10 cc / sec$ 4) $20 cc / sec$

5. If the diameter of cross section of the pipe is halved, the rate of volume flow of the liquid will become

1) $1 / 2$ 2) $1 / 4^{\text {th }}$ 3) $1 / 8^{\text {th }}$ 4) $1 / 16^{\mathrm{th}}$

6. Rate of flow of water through a tube of radius 2 mm is $8 cm^{3} s^{-1}$. Under similar conditions, the rate of flow of water through a tube of radius 1 mm will be

1) $4 cm^3 s^{-1}$ 2) $2 cm^{3} s^{-1}$ 3) $1 cm^{3} s^{-1}$ 4) $0.5 cm^{3} s^{-1}$

7. A capillary tube is attached horizontally to a constant head arrangement. If the radius of the capillary tube is increased by $10 \%$, then the rate of flow of liquid will change nearly by

1) +10% 2) $+46 \%$ 3) $-10 \%$ 4) $-40 \%$

8. The cylindrical tube of a spray pump has a cross-section of $8 cm^{2}$, one end of which has 40 fine holes each of area $10^{-8} m^{2}$. If the liquid flows inside the tube with a speed of $0.15 m min^{-1}$, the speed with which the liquid is ejected through the holes is

1) $50 ms^{-1}$ 2) $5 ms^{-1}$ 3) $0.05 ms^{-1}$ 4) $0.5 ms^{-1}$

9. The cylindrical tube of a spray pump has 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) $\frac{V^{2} R}{n r}$ 2) $\frac{V R^{2}}{n^{2} r^{2}}$ 3) $\frac{V R^{2}}{n r^{2}}$ 4) $\frac{V R^{2}}{n^{3} r^{2}}$