In a horizontal pipe of non-uniform cross section, water flows with a velocity of 1 ms^(-1) at a point where the diameter of the pipe is 20 cm. The velocity of water (1.5 ms^(-1)) at a point where the diameter of the pipe is (in cm)

In a horizontal pipe of non-uniform cross section, water flows with a

1.	In a horizontal pipe of non-uniform cross section, water flows with a velocity of 1 ms^(-1) at a point where the diameter of the pipe is 20 cm. The velocity of water (1.5 ms^(-1)) at a point where the diameter of the pipe is (in cm)
Answer» 8 16 24 32 Solution :From equation of CONTINUITY , `a_1v_1 = a_2v_2 ""v_1 = 1 ms^(-1)` `PI r_1^2 v_1 = pi r_2^2 v_2 "" v_2 = 1.5 ms^(-1)` `(10 xx 10^(-2))^(2) xx 1 = r_2^2 xx 1.5 "" d_1 = 20 CM` `r_2^2 = (100 xx 10^(-4))/(1.5) "" r_1 = (d_1)/2 =10 cm` `:. r^2 = 8CM` `:. d_2 = 16 cm`.