A cylindrical vessel is filled with water as shown in the figure. Calculate the difference in pressures due to water at points A and B. (Pressure due to air is negligible, density of water `=1" g cm"^(-3)`)
A
600 Pa
B
1200 Pa
C
6 Pa
D
6000 Pa
Text Solution
Verified by Experts
The correct Answer is:
D
Given , depth of point A, `g_(A)=100" cm"=1m` depth of point B, `h_(B)=40" cm"=0.4m` density of water, `d=1" g cm"^(-3)=1000" kgm"^(-3)` Pressure, `P=(F)/(A)=(mg)/(A)=("volume "xx" density "xxg)/("area of cross section")` `=(pir^(2)h xx d xx g)/(pir^(@))=hdg` At .A., `P_(A)=h_(A)"dg"=1xx1000xx10=10,000" Pa"` At .B., `P_(B)=h_(B)"dg"=0.4xx1000xx10=4000" Pa"` The difference in pressure, `P_(B)-P_(A)=10,000-4,000=6,000" Pa"` Hence, the correct option is (d).
Topper's Solved these Questions
AMAZING AIR
PEARSON IIT JEE FOUNDATION|Exercise Very short Answer Type Questions|20 Videos
AMAZING AIR
PEARSON IIT JEE FOUNDATION|Exercise Short Answer Type Questions|29 Videos
A cylindrical vessal is filled with water as shown in the figure .Calculate the difference in pressure due to water at points A and B .(Pressure due to air is negligible ,density of water =1 g cm^(-3))
Calculate (a) the actual volume of a molecule of water (b) the radius of a water molecule assuming to be spherical (density of water = 1 g cm"^(-3) )
Pressure due to water at distance d = 6 xx 10^-3 . Find % pressure change at d = 2d
Figure shows a siphon. The liquid shown in water. The pressure difference P_B-P_A between the points A and B is
Some quantity of water is contained in a container as shown in figure. As neon is added to this system at constant pressure, the amount of liquid water in the vessel
A closed tank filled with water is mounted on a cart. The cart moves with an acceleration 'a' on a plane plane road. What is the difference in pressure between point B and A shown in figure
A narrow capillary tube is dipped 10 cm below water surface and a liquid bubble of radius 2 mm formed at the lower end by blowing air through the tube. a. Calculate the excess pressure due to surface tension. b. What is the pressure required in the tube in order to blow a hemispherical bubble at its end in water? The surface tension of water at temperature of the experiment is 7.30xx10^(-2) N//m . 1 atmospheric pressure = 10^(5) Pa , density of water = 1000 kg//m^(3)
Three flasks are filled with coloured water as shown here. How does the water pressure at the bottom of each flask compare with the water pressure at the bottom of the other two?
