PYQ Vault
EbooksTutor

Speed of efflux from a tank with a load or piston pressing on the water

This type of question, asked 3 times: 27 Jun 2022, 28 Jul 2022, 3 Apr 2025. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    27 Jun 2022

    29
    The area of cross-section of a large tank is 0.5 m20.5{\text{ }m}^{2}. It has a narrow opening near the bottom having a small area of cross-section. A load of 25 kg25\text{ }kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is 40 cm40\text{ }cm above the bottom, will be ____ cm s−1\_\_\_\_\ cm\ s^{- 1}. [Take g=10 ms−2g = 10{\text{ }ms}^{- 2} ]

  2. Question 2

    28 Jul 2022

    97
    Consider a cylindrical tank of radius 1 m1\text{ }m is filled with water. The top surface of water is at 15 m15\text{ }m from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of 5 m5\text{ }m from the bottom. A force of 5×105 N5 \times10^{5}\text{ }N is applied on the top surface of water using a piston. The speed of efflux from the hole will be: (given atmospheric pressure PA=1.01×105 PaP_{A}= 1.01 \times10^{5}\text{ }Pa, density of water ρw=1000 kg/m3\rho_{w}= 1000\text{ }kg/m^{3} and gravitational acceleration g=10 m/s2g= 10\text{ }m/s^{2} )

    Tap an option to check your answer.

  3. Question 3

    3 Apr 2025

    2
    Consider a completely full cylindrical water tank of height 1.6 m and cross-sectional area 0.5 m20.5{\text{ }m}^{2}. It has a small hole in its side at a height 90 cm from the bottom. Assume, the cross-sectional area of the hole to be negligibly small as compared to that of the water tank. If a load 50 kg is applied at the top surface of the water in the tank then the velocity of the water coming out at the instant when the hole is opened is : (g=10 m/s2)\left( g= 10\text{ }m/s^{2} \right)

    Tap an option to check your answer.