Paper Questions (Raw)
Q1. 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)
Q2. 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 \%)
Q3. 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
Q4. 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)
Q5. 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}})
Q6. 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 cm3}\mp@subsup{\textrm{s}}{}{-1)
2) (2 cm^{3} s^{-1})
3) (1 cm^{3} s^{-1})
4) (0.5 cm^{3} s^{-1})
Q7. 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 \%)
Q8. 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})
Q9. 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}})