Question

A U-shaped tube is filled mostly with water, but some vegetable oil has been added to both sides of the U tube. On the right side of the tube, the depth of oil is 7.00cm . On the left side of the tube, the depth of the oil is 2.80cm . The density of the water is 1.00

Answer 1

P_atm = atmospheric pressure.

= density of oil = 9.2 x 10²

= density of water = 1 x 10³

on the right side ::

depth of oil = a = 7 cm

depth of water = b

pressure on right side = P_atm + g a + g b                              Eq-1

on the left side ::

depth of oil = c = 2.80 cm

depth of water = d

pressure on left side = P_atm + g c + g d    Eq-2

using pascals law

pressure on right side   = pressure on left side

P_atm + g a + g b   = P_atm + g c + g d

a + b   = c + d             (P_atm and ''g'' cancel out both side)

(a - c) = (d-b)

(d-b) = (a - c) /

d - b = (9.2 x 10² ) (7 - 2.8) / (1 x 10³ )

d - b = 3.864

diference in level = (a + b ) - ( c + d)

inserting the values \

diference in level = (7 + b ) - ( 2.8 + d)   = 4.2 + b - d = 4.2 - 3.864 = 0.336 cm