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Rohit Singh Grade: 12
        

The figure shows a conical vessel having its outlet at A to which U-tube manometer is connected. The reading of the manometer given in the figure shows when the vessel is empty. Find the reading of the manometer when the vessel is fully filled with water.


a) 400 mm


b) 300 mm


c) 430 mm


d) 330 mm


780_21598_fig.JPG

6 years ago

Answers : (1)

Aman Bansal
592 Points
										

dear rohit,


let initial difference in height of mercury level = h2=200mm


n sp. gravity of mercury = 13.6


 sp. gravity of water = 1.0


therefore


density of water = 1000


density of mercury = 1360


using equation,


d1*g*h1= d2*g*h2


=> h1= 272 mm of water


when the vessel is full ofwater the pressure in the right limb will go down and lhe distance moved by mercury level be y  cm


above the datum level,


again equating pressure on boyh sides,


13.6*1000*9.81*(0.2*2y/100) = 1000*9.81 * (3+ y/100 + h1 )


=> y= 11.45 cm


difference in two limbs of mercury = 20+2y = 42.9 cm = 429 mm


hence answer is (C) 430mm


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AMAN BANSAL


 


=>

6 years ago
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