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The Marina trench is located in the Paci...

The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about `1.1xx10^(8)` Pa. A steel trench. What is the change in the volume of the ball when it reaches to the bottom ?

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The correct Answer is:
`2.51xx10^(-4)m^(3)`
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The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1 xx 10 ^(8) Pa. A steel ball of initial volume 0.32 m^(3) is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom ?

Two narrow bores of diameters 3.0 mm and 6.0mm are joined together to form a U- tube open at both ends . If the U- tube contains water , what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx10^(-2)Nm^(-1) . Take the angle of contact to be zero and density of water to be 1.0xx10^(3)kgm^(-3)(g=9.8ms^(-2)) .

The lower end of a capillary tube of diameter 2.00 mm is dipped 8.00 cm below the surface of water in a beaker . What is the pressure required in the tube in order to blow a hemispherical bubble at the end in water ? The surface tension of water at temperature of the experiments is 7.30xx10^(-2)Nm^(9-1) . 1 atmospheric pressure =1.01xx10^(5)Pa . Density of water =1000kg//m^(3),g=9.80ms^(-2) . Also calulate the excess pressure .

The lower end of a capallary tube of diameter 2.50 mm is dipped 8.00 cm below the surface of water in a beaker .What is the pressure required in the tube in order to blow a hemispherical bubble at the end in water ? The surface tension of water at temperature of the experiments is 7.30xx10^(-2)Nm^(-1) . 1 atmospheric pressure 1.01xx10^(5)Pa . Density of water =1000kg//m^(3),g=9.80ms^(-2) .Also calculate the excess pressure .

Calculate the excess pressure withing a bubble of air of radius 0.1 mm in water. If te bubble had been formed 10 cm below the water surface on a day when the atmospheric pressure was 1.013xx10^(5)Pa then what would have been the total pressure inside the bubble? surface tension of water =73xx10^(-3)N//m

A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height(in mm) of water level due to opening of the orifice. [Take atmospheric pressure =1.0xx10^5N//m^2 , density of water=1000kg//m^3 and g=10m//s^2 . Neglect any effect of surface tension.]

A horizontal cylinderical tank (6)/(pi)m in diameter is half full of water. The space above the water is filled with a pressurized gas of unknown refractive index. A small laser can move along the curved bottom of the water and aims a light beam towards the centre of the water surface. When the laser has moved a distance s=1m or more (measured from curved face) from the lowest point in water, no light enters the gas. The refractive index of gas is (mu_("water") = 4//3)

A 3.6m long vertical pipe resonates with a source of frequency 212.5 Hz when water level is at certain height in the pipe. Find the height of water level (from the bottom of the pipe) at which resonance occurs. Neglect end correction. Now , the pipe is filled to a height H (~~ 3.6m) . A small hole is drilled very close to its bottom and water is allowed to leak. Obtain an expression for the rate of fall of water level in the pipe as a function of H . If the radii of the pipe and the hole are 2 xx 10^(-2)m and 1 xx 10^(-3)m respectively, Calculate the time interval between the occurance of first two resonances. Speed of sound in air 340m//s and g = 10m//s^(2) .

In an experiment to estimate the size of a molecule of oleic acid 1 mL of oleic acid is dissolved in 19 ml of alcohol. Then I mL of this solution is diluted to 20 mL by adding alcohol. Now 1 drop of this diluted solution is placed on water in a shallow through. The solution spreads over the surface of water forming one molecule thick layer. Now lycopodium powder is sprinkled evenly over the film and its diameter is measured. Knowing the volume of the drop and area of the film we can calculate the thickness of the film which will give us the size of oleic acid molecule. Read the passage carefully and answer the following questions. (a) Why do we dissolve oleic acid in alcohol ? (b) What is the role of lycopodium powder ? (c) What would be the volume of oleic acid in each ml of solution prepared ? (d) How will you calculate the volume of n drops of this solution of oleic acid ? (e) What will be the volume of oleic acid in one drop of this solution ?

NCERT GUJARATI-MECHANICAL PROPERTIES OF SOLIDS -Exercises
  1. A steet wire of length 4.7 m and cross - sectional area 3.0xx10^(-5)m^...

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  2. Read the following two statements below carefully and state, with reas...

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  3. The edge of an aluminium cube is 10 cm long. One face of the cube is f...

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  4. Four identical hollow cylindrical columns of mild steel support a big ...

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  5. A piece of copper having a rectangular cross -section of 15.2 mm xx 19...

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  6. A steel cable with a radius of 1.5 cm supports a chairlift at a ski ar...

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  7. A rigid bar of mass 15 kg is supported symmetrically by three each 2.0...

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  8. A 14.5 kg mass, fastened to the end of a steel wire of unstretched 1.0...

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  9. Compute the bulk modulus of water from the following staa , Initial vo...

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  10. What is the density of water at a depth where pressure is 80.0 atm, gi...

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  11. Compute the fractional change in volume of a glass slab, when subjecte...

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  12. Determine the volume contraction of a solid copper cube, 10 cm on an e...

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  13. How much should the pressure on a litre of water be changed to compres...

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  14. A mild steel wire of length 1.0 m and cross - sectional area 0.50xx10^...

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  15. Two strips of metal are riveted together at their ends by four rivets,...

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  16. The Marina trench is located in the Pacific Ocean, and at one place it...

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