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Fluids Test - 11

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Fluids Test - 11
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  • Question 1
    1 / -0

    The relative density of ice is 0.9 and that of sea water is 1.125. What fraction of the whole volume of an iceberg appears above the surface of the sea?

    Solution

     

    Therefore fraction outside water = 0.2.

     

  • Question 2
    1 / -0

    A thin liquid film formed between a U-shaped wire and a light slider supports a weight of 1.5×10−2N (see figure).The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is

    Solution

     

  • Question 3
    1 / -0

    A squre frame of side L is dipped in a liquid. On taking out, a membrance is formed. If the surface tension of the liquid is T, the force acting on the frame will be.

    Solution

    Force on each side = 2TL [ due to two surface]

    ∴ Force on the frame = 4(2TL)=8TL.

     

  • Question 4
    1 / -0

    The force required to separate two glass plates of area 10−2m−2 with a film of water 0.05mm thick between them, is (Surface tension of water is 70×10−3N/m)

    Solution

    Force required to separate the plates 

     

  • Question 5
    1 / -0

    A 10cm long wire is placed horizontally on the surface of water and is gently pulled up with a force of 2×10−2 N to keep the wire in equilibrium. The surface tension, in Nm−1 of water is

    Solution

     

  • Question 6
    1 / -0

    The mean density of sea water is ρ and Bulk modulus is B. The change in density of sea water in going from the surface of water to depth h is :-

    Solution

     

  • Question 7
    1 / -0

    A thin wire is bent in the form of a ring of diameter 3.0 cm. The ring is placed horizontally on the surface of soap solution and then raised up slowly upwarc force necessary to break the vertical film formed between the ring and solution is :-

    Solution

    f = 2 × 2πT = 2 × πdT = 6πT

     

  • Question 8
    1 / -0

    An L-shaped tube with a small orifice is held in a water stream as shown in figure. The upper end of the tube is 10.6 cm above the surface of water. What will be the height nearly of the jet of water coming from the orifice? Velocity of water stream is 2.45 m/s

    Solution

    By using bernaulli's at points A and B.

     

    ∴ Height orifice = 30 - 10.6 = 19.4 cm

     

  • Question 9
    1 / -0

    A candle of diameter d cm is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2 cm/hour then the top of the candle will

    Solution

    As shown in the diagram half part is below water so if candle is melting at a rate of 2 cm per hour, then it will show a change of 1 cm per hour each for upper and below part separately.

     

  • Question 10
    1 / -0

    A hole is there in the bottom of the tank having water. If total pressure at bottom is 3 atm (1 atm = 105 N m−2)

    Solution

     

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