Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
For a given thrust, pressure is more on a surface of large j area.
The unit of thrust is ..........
Pressure is reduced if .................... increases.
Name two factors on which the pressure on a surface depends.
Find the thrust required to exert a pressure of 50000 pascals on an area of 0.05 m2 ?
Calculate the pressure exerted on a surface of 0.5 m2 by a thrust of 100 kgf.
If someone presses a pointed needle against your skin, you are hurt. But if someone presses a rod against your skin with the same force, you easily tolerate. Explain.
Multiple Choice Question.
A hydraulic lift is designed to lift heavy objects of maximum mass 2000 kg. The area of cross-section of piston carrying the load is 2.25 × 10-2 m2. What is the maximum pressure the smaller piston would have to bear?
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.
Consider the statement given below and choose the correct option.
Assertion: Sharp knives are used to cut the vegetables.
Reason: Sharp edges exert more pressure.
In a pressure cooker, the food is cooked faster because ______.
At higher altitudes, atmospheric pressure is ______.
Pressure is directly proportional to the area of contact.
Cooking in a place located at a higher altitude is difficult. Why?
In petrol bunks, in what unit is tire pressure measured?
Fluids in general are ______.
It is easy to compress a gas whereas liquids are ______.
The net force in a particular direction is called ______.
A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?
