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Why is the reading of a mercury baromete...

Why is the reading of a mercury barometer always less than actual pressure?

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A mercury barometer always reads less than actual pressure.

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A barometer is an instrument that is used for the measurement of pressure The construction of the barometer is as follows: A thin narrow calibrated capillary tube is filled to the brim with a liquid such as mercury and is inverted into a through filled with the same fluid Now depending on the external atmospheric pressure the level of the inside capillary comes to rest, then the net forces on the column should be balanced Applying force balance we get P_(atm)xxA=mxxg (A is the cross-sectional area of the capillary tube) if rho is the density of the fluid, then m=rhoxxgxxh (h is the height to which mercury has risen in the capillary) Hence P_(atm)xxA=(rhoxxgxxh)xxA or P_(atm)=rhogh Faulty Barometer: An ideal barometer will show a correct reading only if the space above the mercury column is vacuum but in case if some gas column is trapped in the space above the mercury column then the barometer is classified as a faulty barometer. The reading of such a barometer will be less than the true pressure For such a faulty barometer P_(0)A=mg+P_(gas)A P_(0)=rhohg+P_(gas) or rhogh=P_(0)-P_(gas) A tube closed at one end is dipped in mercury as shown in figure such that the closed surface coincides with the mercury level in the container By how much length of the tube should be extended such that the level of Hg in the tube is 5 cm below the mercury level inside the container? (Assume temperature remains constant)

A barometer is an instrument that is used for the measurement of pressure The construction of the barometer is as follows: A thin narrow calibrated capillary tube is filled to the brim with a liquid such as mercury and is inverted into a through filled with the same fluid Now depending on the external atmospheric pressure the level of the inside capillary comes to rest, then the net forces on the column should be balanced Applying force balance we get P_(atm)xxA=mxxg (A is the cross-sectional area of the capillary tube) if rho is the density of the fluid, then m=rhoxxgxxh (h is the height to which mercury has risen in the capillary) Hence P_(atm)xxA=(rhoxxgxxh)xxA or P_(atm)=rhogh Faulty Barometer: An ideal barometer will show a correct reading only if the space above the mercury column is vacuum but in case if some gas column is trapped in the space above the mercury column then the barometer is classified as a faulty barometer. The reading of such a barometer will be less than the true pressure For such a faulty barometer P_(0)A=mg+P_(gas)A P_(0)=rhohg+P_(gas) or rhogh=P_(0)-P_(gas) If the tube shown below is placed vertically with the open and upward then the length of the air column will be (Assume temperature remains constant)

Why is the work output of a machine always less than the work input?

What are the disadvantages of a simple mercury barometer ?

What are the disadvantages of a simple mercury barometer ?

The height of mercury barometer is h when the atmospheic pressure is 10^(5)Pa . The pressure at x in the shown diagram is

SL ARORA-Mechanical Properties of fluids-Exercise
  1. Why is the reading of a mercury barometer always less than actual pres...

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  2. Find the pressure exerted at the tip of a drawing pin if it is pushed ...

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  3. Atmospheric pressure is nearly 100 kPa. How large the force does the a...

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  4. The force on a Phonograph needle is 1.2 N. the point has a circular cr...

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  5. A cylinderical vessel contaning liquid is closed by a smooth piston of...

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  6. The area of the smaller piston of a hydraulic press is 1cm^2 and that ...

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  7. The average mass that must be lifted by a hydraulic press is 80 "kg".I...

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  8. In a hydraulic press used for compressing cotton the area of the pisto...

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  9. An automobile sack is lifted by a hydraulic jack that consists of two ...

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  10. How much will a body of 70 N weight in water if it displaces 20 ml of...

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  11. A solid weighs 6 kg in air. If its density is 2000 "kg" m^(3) what wil...

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  12. A solid weighs 10 N in air. Its weight decreases by 2 N when weighed i...

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  13. A copper cube of mass 0.50kg is weighed in water. The mass comes out t...

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  14. A solid floats in water with 3//4 of its volume below the surface of w...

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  15. A piece of wood of relative density 0.25floats in a pail containing oi...

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  16. A boat having a length of 3 m and breadth of 2 m is floating on a lake...

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  17. When a body of mass 240 kg is placed on a ice berg floating in sea wat...

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  18. A cubical block of wood 10 cm on a side floats at the interface betwee...

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  19. A Piece of brass (alloy of zinc and copper) weighs 12.9 g in air. When...

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  20. A piece of iron floats in mercury. Given that the density of iron is 7...

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  21. A metal cube of 5cm side and relative density 9 is suspended by thread...

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