QUESTION PAPER 6

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1. a) State and prove the Bernoulli’s equation for the flow of a liquid. (7 Marks)
b) An ice berg having a volume of 2060 cc floats in sea water (density 1.03 g/)
with a portion of 224 cc above the surface. Calculate the density of ice (7 Marks)
2. a) Define Surface tension? Derive the expression for excess pressure inside
a soap bubble. (7 Marks)
b) A steel wire 4 m in length and 2.4 × 10
 in cross sectional area is
stretched by force of 36N. Given Y=1. 8 × 10 / Calculate
i) stress ii) strain (7 Marks)
3. a) Explain the following properties of Gyroscope. (10 Marks)
i) gyro inertia ii) precession of a spinning top
b) What is difference between streamline and turbulent motion in liquids? (4 Marks)
4. a) Write short note on (2+3+2 Marks)
i) Archimedes principle ii) Law of flotation iii) center of buoyancy
b) Explain the term Relative velocity. To a person going due to east in a car with
a velocity of 25 km/hr a train appears to move due north with a velocity of
253 km/hr. What is the actual velocity and direction of motion of the train. (7 Marks)
5. a) Define pressure and give its unit. Derive the formula for rate of flow of the
water in venturimeter. (7 Marks)
b) Explain anomalous expansion of water. (7 Marks)
6. a) What is Reynold’s number? How is it related with critical velocity. (7 Marks)
b) Calculate the horizontal force required to move a metal plate of area
2 sq meters with velocity of 0.05 m/s when it rests on a layer of oil
10                                                      (7 Marks)
7. a) Write short note on: (7 Marks)
i) Conduction ii) Convection iii) Radiation
b) Two liquids A and B are at temperatures of 75°! and 15°!repectively.
Their masses are in the ratio of 2:3 and their specific heats are in the ratio
3:4.Calculate the resultant temperature of the mixer when two liquids A and B
are mixed. Neglect the water equivalent of the calorimeter. (7 Marks)
8. a) What is pulley? Explain differential pulley and derive an expression for its
efficiency with neat sketch? (7 Marks)
b) Explain the principle, construction and working of hydraulic breaks. (7 Marks)
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