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Q.

A tube 1 cm2 in cross section is attached to the top of a vessel 1 cm high and of cross section 100 cm2. Water is poured into the system filling it to a depth of 100 cm above the bottom of the vessel as shown in the figure. Take g=10 ms-2. Find the correct statement.

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a

The force exerted by water against the bottom of the vessel is 100 N

b

The weight of water in the system is 1.99 N.

c

Both (a) and (b) are correct.

d

Neither (a) nor (b) is correct.

answer is C.

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Detailed Solution

Pressure due to water at the bottom of vessel isP=hρg=1m×1000kgm−3×10ms−2=104PaForce due to water at the bottom of vessel isF=PA=104Pa×100×10-4m2=100NVolume of water= V=99 cm×1 cm2+ 1cm×100 cm2=199cm3 Mass=M=ρV=1gcm-3199cm3=199g=0.199kg Weight=Mg=0.199×10=1.99N

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