A glass full of water has a bottom of area 20 cm 2, top of area 20 cm 2, height 20 cm and volume half a litre.

(a) The force exerted by the water on the bottom is:.

(b) Considering the equilibrium of the water, the resultant force exerted by the sides of the glass on the water is:

Atmospheric pressure , density of water and . Take all numbers to be exact

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

240 N,1.26×104N

250 N,1.56×104N

230 N,1.28×104N

270 N,1.76×104N

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- A fluid will always apply force to every surface it comes into touch with. The amount of force applied is always appropriate for that surface. The pressure increases with decreasing area while decreasing with increasing area.
Given, There is space at the bottom of a glass of water.

We have converted the centimetres into metres.
Top of area

Height of the glass beaker

Atmospheric pressure

,
Density of water

Acceleration due to gravity

Let's use the example image provided in the question as a guide.The graphic shows the dimensions of the water-filled glass, including its breadth and height.The width is

and the height is

Let's now determine the force that the water exerts on the ground.
Total pressure at the bottom =(atmospheric pressure) +(pressure of the liquid)

The entire amount of pressure at the bottom is represented by this. We can now measure the force that the water exerts on the ground,
We have, pressure

From this, we can write

Therefore, 240 N is the force exerted by the water on the bottom.
(b) When the water is in balance, place a specific glass beaker in a sphere-like configuration.So, radius of the sphere

( half of the height of the glass)
Then average pressure exerted by the liquid along the depth is given by,

Now total pressure=(atmospheric pressure) +(average pressure)

Therefore, resultant force exerted by the sides of the glass on the water is,
force = pressure

area
Area of sphere is given by

Hence, the correct option is 1.

Watch 3-min video & get full concept clarity