34. An open-ended U-tube of uniform cross-sectional area
contains water (density 1.0 g/cm) standing initially 20
cm from the bottom in each arm. An immiscible liquid of
density 4.0 g/cm² is added to one arm until a layer 5 cm high
forms, as shown in the figure above. What is the rat
of the heights of the liquid in the two arms?
15 cm
(1) 3/1
$
2/1
(2) 5/2
(4) 3/2
Answers
Answered by
8
The ratio between the heights of the liquid in the two arms is 2/1.
Option (c) is correct.
Explanation
Given data:
Length "L" = 40 cm
P1 = P2
5 x 4 x g = (x) x g x 1
x = 20 cm
Now find the ratio in the heights:
h2/h1 = x + y/ 5 + y
Since
x + y + y = 40
and 2y = 20 then y = 10
Now
h2/h1 = 30 /15
h2/h1 = 2/1
Thus the ratio between the heights of the liquid in the two arms is 2/1.
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