Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Properties of Matter question

2002 · Shift 0 · Q177
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Properties of Matter
  5. /2002 · Shift 0 · Q177

Properties of Matter question

2002 · Shift 0 · Q177

JEE MainPhysicsProperties of MatterMCQ+4 / −1
A cylinder of height 20m20m20m is completely filled with water. The velocity of efflux of water (in ms−1m{s^{ - 1}}ms−1) through a small hole on the side wall of the cylinder near its bottom is
  1. A
    101010
  2. B
    202020
  3. C
    25.525.525.5
  4. D
    555
View written solutionFree

Correct answer: B

  1. Use Torricelli’s theorem

For a small hole at depth hhh below the free surface of a liquid, the speed of efflux is

v=2ghv = \sqrt{2gh}v=2gh​

  1. Identify the depth

The cylinder is completely filled with water and the hole is near the bottom.

So the depth of the hole below the top free surface is approximately the full height:

h=20 mh = 20\,\text{m}h=20m

  1. Substitute values

Taking g≈10 m s−2g \approx 10\,\text{m s}^{-2}g≈10m s−2,

v=2×10×20v = \sqrt{2 \times 10 \times 20}v=2×10×20​

v=400v = \sqrt{400}v=400​

v=20 m s−1v = 20\,\text{m s}^{-1}v=20m s−1

  1. Match with options

The correct option is:

20\boxed{20}20​

So, Option B is correct.

Previous

More from Properties of Matter

  • A steel wire of length 2 m and Young's modulus 2.0×1011 N m−2 is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and 10−3 respectively, then the elastic potential…2025 · Numerical
  • A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 cm2 with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with…2025 · Numerical
  • Two water drops each of radius ' r' coalesce to form a bigger drop. If 'T ' is the surface tension, the surface energy released in this process is :2025 · MCQ
  • The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is ​ m.2025 · Numerical
  • Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area 0.5 m2. It has a small hole in its side at a height 90 cm from the bottom. Assume, the crosssectional area of the hole to be…2025 · MCQ
  • Two cylindrical vessels of equal cross sectional area of 2 m2 contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water…2025 · MCQ
  • A solid steel ball of diameter 3.6 mm acquired terminal velocity 2.45×10−2 m/s while falling under gravity through an oil of density 925 kg m−3. Take density of steel as 7825 kg m−3…2025 · MCQ
  • The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble B, then, the value of n is…2025 · Numerical