Question

An open ended U-tube is filled with
mercury. If 20 cm of water is added to
one arm of the tube, then calculate the
difference in height of the two levels.
(Note: Use g= 10m/s? and P4 = 13.6
g/cc)
A.
16.17 cm
B.
19.8 cm
14.76 cm
18.52 cm​

Answer 1

Answer:

Equating pressure ] (112) (1) = (13.6) (2x) <br> t/physics_images/ARH_NEET_PHY_OBJ_V01_C13_E01_102_S01.png" width="80%"> <br> x = 0.41 cm

Answer 2

Given:

Water in the tube = 20cm

Mercury in the tube = x

To Find:

Difference of height of two levels

Solution:

On pouring water on left side, let the mercury rise =  x cm

Previous level in the right limb will create a difference mercury level = 2x cm.

Equating at 1 and 2, we get

P1 = P2

Swxg × 20 = Smxg × 2

where Sw = 10³ and Sm = 13.6 × 10³

= 10³ × 20 = 13.6 × 10³ × 2h

h = 20/27.2

h = 0.73

Answer: The difference in height of two levels is 0.73cm