Bernoulli's Theorem and its Applications Video Lecture | Study Physics For JEE - JEE | Best Video for JEE

Bernoulli's theorem and it's
applications Daniel Bernoulli a swiss
mathematician and physicist ated a
theorem which gives the interaction
between the pressure acting at a point
on the surface of the liquid and the
velocity of its particles
Bernoulli's theorem states that a total
energy of a small amount of an
incompressible liquid flowing from one
point to another remains constant
throughout the displacement
the illustration shown here will help
you understand Bernoulli's theorem
motion of a ping-pong ball place a
ping-pong ball in an upward stream of
water as shown here we observe that when
a continuous stream of water gushes out
of the nozzle the ball rises to a
certain height above the nozzle and
stays at that height against the
gravitational pull and starts spinning
we also observe that in case the ball
moves to one side it is automatically
brought back to the original position
how does this happen
suppose the ball moves towards the left
the ball continues to spin due to the
liquid on the right side the direction
of spin of the ball is in such a way
that the fluid velocity is more on its
right side and less on the left side of
the ball according to Bernoulli's
theorem the pressure of the fluid on the
right is less than that on the left due
to this difference in pressure the ball
returns to its original position
rise of oil in a narrow tube shown here
is a horizontal tube a be dipped in oil
the area of cross section of the tube at
sea is much smaller than that at a and B
observe the movement of water when it is
flowing from A to B at the narrow end C
the velocity of the water increases and
hence the pressure at that point
decreases below the atmospheric pressure
due to the difference in pressure the
oil Rises into the vertical tube
applications of Bernoulli's theorem the
principle underlying the working of
atomizer Bunsen burner flow meter and
aerofoil is Bernoulli's principle
atomizer is an instrument used for
spraying perfumes and water the
experiment shown here gives the
principle underlying the working of an
atomizer displayed here is the
arrangement used in an atomizer when the
rubber bulb B is squeezed the air flows
through the tube t and comes out of the
narrow aperture o of the tube as the
aperture is narrow the velocity of the
air increases as it comes out this
reduces the pressure in the vicinity of
all due to the difference in pressure
the liquid rises up into the vertical
tube but the stream of air coming out of
the tube t blows the liquid into a fine
spray so next time you use perfume or
deodorant
remember this principle
Bunsen burner one of the most commonly
used appliances based on Bernoulli's
theorem is the Bunsen burner in a Bunsen
burner when the gas emerges out of the
nozzle the velocity of the gas increases
and as a result a region of low pressure
is created around the nozzle as a result
the atmospheric air flows towards the
burner and the air necessary for
combustion is sucked through the holes
present on the burner working of flow
meter and aerofoil are also based on
Bernoulli's theorem