Advertisements
Advertisements
Question
In problem 10.9, if 15.0 cm of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels of mercury in the two arms? (Specific gravity of mercury = 13.6)
Solution
Height of the water column, h1 = 10 + 15 = 25 cm
Height of the spirit column, h2 = 12.5 + 15 = 27.5 cm
Density of water, ρ1 = 1 g cm–3
Density of spirit, ρ2 = 0.8 g cm–3
Density of mercury = 13.6 g cm–3
Let h be the difference between the levels of mercury in the two arms.
The pressure exerted by height h, of the mercury column:
= hρg
= h × 13.6g … (i)
Difference between the pressures exerted by water and spirit:
`=h_1rho_1g - h_1rho_1g`
= g(25 × 1 – 27.5 × 0.8)
= 3g … (ii)
Equating equations (i) and (ii), we get:
13.6 hg = 3g
h = 0.220588 ≈ 0.221 cm
Hence, the difference between the levels of mercury in the two arms is 0.221 cm.
APPEARS IN
RELATED QUESTIONS
A plane is in level flight at a constant speed and each of its two wings has an area of 25 m2. If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane’s mass. (Take air density to be 1 kg m–3).
For a given thrust, pressure is more on a surface of large j area.
Pressure is reduced if .................... increases.
Name two factors on which the pressure on a surface depends.
Calculate the pressure in pascal exerted by a force of 300 N acting normally on an area of 30 cm2.
The total force exerted by a body normal to the surface is called ______.
Assertion: The pressure at the bottom of the sea is lesser than that near the surface.
Reason: The pressure exerted by a liquid depends upon the depth of the liquid and density of the liquid.
Give reasons why:
a single nail pricking the body is painful when compared to lying on a bed of nails.
The shape and size of the solids do not easily change.
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?
