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Q.

A glass full of water has a bottom of area 20  cm2, top of area 20  cm2, height 20 cm and volume half a litre. (atmospheric pressure =1.0×105N/m2 . Density of water = 1000 kg/m3  and g=10   m/s2 ).

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a

Considering the equilibrium of the water, the resultant force exerted by the sides of the glass on the water is 15 N. 

b

The total force exerted by water on the bottom is 204N 

c

Considering the equilibrium of the water, the resultant force exerted by the sides of the glass on the water is 1 N

d

The total force exerted by water on the bottom is 250N 

answer is C, D.

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Detailed Solution

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The pressure intensity at the bottom of the container is 
P=hρg       =0.20×1000×10=2×103N/m3 
Force at the bottom of container 
=P×  base area  +Pa×base  area
=2×103×(20×104)+(1.×105×20×104)  
 =204       N 
b) Weight of the water in the container 
 =  Volume ×  density of water  × g
 =0.5×103×1000×10=5N 
From the diagram, the force exerted by the container is in upward direction (because (P2>P1) . Let force exerted by sides of container is F, then 
                     4+F=5N 
                                        F=1N 
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From the diagram, the force exerted by the container in upward direction (because  (P2>P1). Let force exerted by sides of container is F, then 
                              4+F=5N 
                                      F=1  N

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