Home
Class 11
PHYSICS
A curved glass vessel full of water upto...

A curved glass vessel full of water upto a height of 10 cm has a bottom of area `10 cm^(2)`, top of area `30 cm^(2)` and volume 1 L.
(i) Find the force exerted by the water on the bottom.
(ii) Find the resultant force exerted by the sides of the glass on the water.
(iii) If the glass vessel is covered by a jar and the air inside the jar is completely pumped out, what will be the answers to parts (a) and (b)
(iv) If a glass vessel of different shape is used provided the height, the bottom area and the volume are unchanged, will the answers to parts (a) and (b) change.
(Take, `g=10 ms^(-2)` , density of water =`10^(3) kgm^(-2)` and atmospheric pressure `=1.01xx10^(5)Nm^(-2))`

Text Solution

AI Generated Solution

To solve the problem step by step, we will address each part of the question sequentially. ### Given Data: - Height of water (h) = 10 cm = 0.1 m - Area of the bottom (A_bottom) = 10 cm² = 10 / 10000 m² = 0.001 m² - Area of the top (A_top) = 30 cm² = 30 / 10000 m² = 0.003 m² - Volume of water (V) = 1 L = 0.001 m³ - Density of water (ρ) = 1000 kg/m³ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.7|1 Videos
  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.8|1 Videos
  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.5|1 Videos
  • EXPERIMENTS

    DC PANDEY ENGLISH|Exercise Subjective|15 Videos
  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos

Similar Questions

Explore conceptually related problems

A glass full of water upto a height of 10 cm has a bottom of are 10 cm^(2) , top of area 30cm^(2) and volume 1 litre. (a) Find the force exerted by the water on the bottom. (b) Find the resultant force exerted by the sides of the glass on the water. (c ) If the glass is convered by a jar and the air inside the jar is completely pumped out, what will be the answer to parts (a) and (b). (d) If a glass of different shape is used, provided the height, the bottom area, the top area and the volume are unchanged, will the answer to parts (a) and (b) change. Take g=10m//s^(3) , density of water =10^(3) kg//m^(3) and atmospheric pressure =1.01xx10^(5)N//m^(2) .

A glass full of water has a bottom of area 20 cm^(2) , top of area 20 cm , height 20 cm and volume half a litre. a. Find the force exerted by the water on the bottom. b. Considering the equilibrium of the v , after. find the resultant force exerted by the side, of the glass on the water. Atmospheric pressure = 1.0 xx 10^(5) N//m^(2) . Density of water = 1000 kg//m^(-3) and g = 10 m//s^(2)

Knowledge Check

  • Three vessels A,B,and C of different shapes contain a water upto the same height as shown in the figure . P_(A) ,P_(B) ,and P_(C) be the pressure exerted by the water at the bottom of the vessels A ,B and C respectively . Then

    A
    `P_(A) gt P_(B) gt P_(C)`
    B
    `P_(B) gt P_(C) gt P_(A)`
    C
    `P_(C) gt P_(B) gt P_(A)`
    D
    `P_(A) = P_(B) =P_(C)`
  • Similar Questions

    Explore conceptually related problems

    Water is filled in a flask up to a height of 20 cm. The bottom of the flask is circular with radius 10 cm. If the atmospheric pressure is 1.01xx10^5 Pa, find the force exerted by the water on the bottom. Take g=10 ms^-2 and density of water =1000 kgm^-3.

    A piece of ice is floating in a glass vessel filled with water. Then prove that level of water in the vessel remains unchanged after melting of ice.

    The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-

    The height of water in a vessel is h. The vessel wall of width b is at an angle theta to the vertical. The net force exerted by the water on the wall is

    A metal piece of mass 160 g lies iln equilibrium inside a glass of water figure. The ppece touches the bottom of the glass at a small number of points. If the density of the metl is 8000 kg m^-3 , find the normal fore exerted by the bottom of the glass on the metal piece.

    A piece of ice is floating in a glass vessel filled with water. How will the level of water in the vessel change when the ice melts ?

    A vessel in the form of a truncated cone has base area a_(1) and top area a_(2) . It is filled to the brim with a liquid. The force at the bottom of the vessel is