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)
Advertisements
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
Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill up to a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?
Water in a lake exerts pressure only at its bottom.
When does a man exert more pressure on the floor: while standing or while walking?
Why is the bottom part of the foundation of a building made wider?
Find the area of a body which experiences a pressure of 50000 Pa by a thrust of 100 N?
The figure shows a brick of weight 2 kgf and dimensions 20 cm × 10 cm × 5 cm placed in three different positions on the ground. Find the pressure exerted by the brick in each case.
Find the pressure 200m below the surface of the ocean if pressure on the free surface of liquid is one atmosphere. (Density of seawater = 1060 kg/m3)
In a hydraulic lift, the input piston had surface area 30 cm2 and the output piston has surface area of 1500 cm2. If a force of 25 N is applied to the input piston, calculate weight/force on output piston.
Match the following.
| 1. | Density | hρg |
| 2. | 1 gwt | Milk |
| 3. | Pascal’s law | `"Mass"/" Volume"` |
| 4. | Pressure exerted by a fluid | Pressure |
| 5. | Lactometer | 980 dyne |
A chapatti maker is a machine which converts balls of dough into chapatties. What effect of force comes into play in this process?
Cooking in a place located at a higher altitude is difficult. Why?
Give reasons why:
heavy trucks are fitted with 6 to 8 wheels
In petrol bunks, in what unit is tire pressure measured?
The net force in a particular direction is called ______.
The pressure in mines is ______ than the sea level.
What happens when pressure is increased in solids?
Assertion (A): A sleeping mattress is so designed that when you lie on it, a large area of your body comes in its contact.
Reason (R): This reduces the pressure on the body and sleeping becomes comfortable.
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?
