Bernoulli’s Theorem

IMPORTANT

Bernoulli’s Theorem: Overview

This topic covers concepts, such as, Bernoulli's Theorem, Conditions on Bernoulli's Theorem, Properties of Ideal Fluid & Motion of the Ping-Pong ball etc.

Important Questions on Bernoulli’s Theorem

MEDIUM
IMPORTANT

Calculate the rate of flow of glycerine of density 1.25×103 kg m-3 through the conical section of a pipe if the radii of its ends are 0.1 m & 0.04 m and the pressure drop across its length is 10 N m-2

HARD
IMPORTANT

A laminar stream is flowing vertically down from a tap of cross-section area 1 cm2. At a distance 10 below the tap, the cross-section area of the stream has reduced to 1/2 cm​2. Find the volumetric flow rate of water from the tap

MEDIUM
IMPORTANT

A cylindrical vessel open at the top is 20 cm high and 10 cm in diameter. A circular hole whose cross-sectional area 1cm2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 cm3 s​-1 . Find the height of water in the vessel under steady state.

EASY
IMPORTANT

How does Newton's third law apply ping pong?

EASY
IMPORTANT

What law of motion is ping pong?

EASY
IMPORTANT

Are ping pong balls pressurized?

EASY
IMPORTANT

How does the floating ping-pong ball work?

EASY
IMPORTANT

What is the force of a ping-pong ball?

EASY
IMPORTANT

A non-spinning ball is not subjected to the Magnus effect. This Magnus effect is equivalent to : 

EASY
IMPORTANT

Which of the following forces are acting on a non-spinning ball during its flight:

EASY
IMPORTANT

Motion of ball without spin in air follow the path

EASY
IMPORTANT

If pressure on the ball at the top be PT and bottom be PB then for ball moving without spin 

EASY
IMPORTANT

When the moves with spin in air then at its top and bottom part pressures are represented by PT and PL respectively then which of the following are correct.

EASY
IMPORTANT

Motion of ball with spin in air follow the path

MEDIUM
IMPORTANT

Potential energy term of Bernoulli's equation is not considered for its application in:

MEDIUM
IMPORTANT

The potential energy term in Bernoulli's equation is present due to:

EASY
IMPORTANT

Bernoulli's theorem is a restatement of :

MEDIUM
IMPORTANT

The figure below shows a cylindrical tank filled with water upto a height h. A hole is punctured on the side of the tank, at a distance x below the water level. Water exits the hole and hits a point P (at a distance r from the base of the tank). Which of the following is true ?

Question Image

MEDIUM
IMPORTANT

A cylindrical vessel of radius 5 cm is filled with water up to a height of 20 cm. The cylinder is open to atmosphere at the top. A small aperture of radius 2 mm is made on the side of the cylinder at a height of 5 cm from the bottom of the vessel. For approximately how long will water leak out of the aperture?

MEDIUM
IMPORTANT

Water from a tap emerges vertically downwards with an initial speed of  1.0 ms-1 . The cross - sectional area of the tap is  10-4 m2 . Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross - sectional area of the stream, 0.15 m below the tap would be:
(Take  g=10 ms-2 )