Q.

A siphon has a uniform circular cross-section of diameter  8/π cm with its crest A, 1.8 m above  the water level in vessel B of large cross-section (g = 10 m/s2, density of water is  1000kg/m3 and atmospheric pressure P0=105 N/ m2
 

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a

Discharge rate of flow through pipe is 962×104m3/s

b

Pressure of A is  0.46×105N/m2

c

Velocity of flow through pipe is 6 m/s              

d

Velocity of flow through pipe is   62m/s 

answer is A, B, D.

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Detailed Solution

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Applying Bernoulli’s equation at C and D, we have              

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P0+0+ρg(3.6)=P0+12ρv2+0  v=62 m/s

Volume blown per unit time   
=av=πr2v=962×104m3/s                          
 Similarly, at A and C,        
PA+12ρv2+ρg(3.6+1.8)=P0+12ρvH2+0  PA=0.46×105N/m2

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A siphon has a uniform circular cross-section of diameter  8/π cm with its crest A, 1.8 m above  the water level in vessel B of large cross-section (g = 10 m/s2, density of water is  1000kg/m3 and atmospheric pressure P0=105 N/ m2)