Water flows through the tube shown in figure. The areas of cross section of the wide and the narrow portions of the tube are `5cm^2 and 2cm^2` respectively. The rate of flow of water through the tube is `500 cm^3s^-1` . Find the difference of mercury levels in the U-tube.

Water flows through the tube shown in figure. The areas of cross secti

1.	Water flows through the tube shown in figure. The areas of cross section of the wide and the narrow portions of the tube are `5cm^2 and 2cm^2` respectively. The rate of flow of water through the tube is `500 cm^3s^-1` . Find the difference of mercury levels in the U-tube.
Answer» Correct Answer - A::C Given Rate of Glow `=500cm^3/sec` `rarrv_A=(500/5)=100cm/sec` `V_Aa_A=V_Ba_B` `rarr v_A/v_B=a_B/a_A=2/5` `rarr 5v_A=2v_B` `rarr v_B=(5/2)v_A`…………i `rarr 1/2rhov_A^2+rhogh_A+pA=1/2 rhov_B^2+rhogh_B+p_B` `rarr p_A-p_B=1/2[p(v_B^2-v_A^2)]` `rarr hxx13.6xx980=1/2xx1xx21/4(100)^2` [Using i] [because `p_A-p_B=?]` `rarr h=(21xx(100)^2)/(2xx13.6xx980xx4)` `=1.969cm`

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Water flows through the tube shown in figure. The areas of cross section of the wide and the narrow portions of the tube are `5cm^2 and 2cm^2` respectively. The rate of flow of water through the tube is `500 cm^3s^-1` . Find the difference of mercury levels in the U-tube.

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