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Speed of a liquid from the equation of continuity (A1 v1 = A2 v2)

This type of question, asked 4 times: 1 Feb 2023, 10 Apr 2023, 22 Jan 2025, 4 Apr 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    1 Feb 2023

    118
    The surface of water in a water tank of cross section area 750 cm2750{\text{ }cm}^{2} on the top of a house is h mh\text{ }m above the tap level. The speed of water coming out through the tap of cross section area 500 mm2500{\text{ }mm}^{2} is 30 cm/s30\text{ }cm/s. At that instant, dhdt\frac{dh}{dt} is x×10−3 m/sx \times10^{- 3}\text{ }m/s. The value of xx will be____

  2. Question 2

    10 Apr 2023

    114
    Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2.0 cm22.0{\text{ }cm}^{2}. The area of cross section at the outlet is 10 mm210{\text{ }mm}^{2}. If the piston is pushed at a speed of 4 cm s−14\text{ }cm{\text{ }s}^{- 1}, the speed of outgoing fluid is ____ cm s−1\_\_\_\_\ cm\ s^{- 1}.

  3. Question 3

    22 Jan 2025

    93
    The tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm , respectively. If the velocity of water entering at point (1) is 2 m/s2\text{ }m/s, then velocity of water leaving the point (2) will be :

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  4. Question 4

    4 Apr 2026 S2

    7
    A water spray gun is attached to a hose of cross-sectional area 30 cm230{\text{ }cm}^{2}. The gun comprises of 10 perforations each of cross-sectional area of 15 mm215{\text{ }mm}^{2}. If the water flows in the hose with the speed of 50 cm/s50\text{ }cm/s, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

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