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A horizontal pipe line carries water in a stream line flow. At a point along the pipe where cross-sectional area is 10 cm^(2), the water velocity is 1 m/s and the pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5 cm^(2), is (density of water= 10^(3) kg.m^(-3)) : |
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Answer» 1000 Pa `A_(1)v_(1)=A_(2)v_(2)` `10xx1=5xxv_(2)rArrv_(2)=2`m/s Now by Bernoulli.s theorem, `(P_(1))/p+1/2v_(1)^(2)=(P_(2))/p+1/2v_(2)^(2)` `rArrP_(2)=P_(1)+1/2p(v_(1)^(2)-v_(2)^(2))` `=2000+1/2xx10^(3)(1^(2)-2^(2))` = 2000 - 1500 = 500 pascals. Thus CORRECT choice is (b). |
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