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Hydrostatic pressure is a scalar quantit...

Hydrostatic pressure is a scalar quantity, even though pressure is force divided by area and force is a vector? Why?

Text Solution

Verified by Experts

For a quantity to be vector, it should have magnitude and direction. Pressure does not depend on direction, so it is a scalar.
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Explain why (a) the blood pressure is humans is greater at the feet than at the brain. (b) Atmospheric pressure at a height of about 6 km decreases to nearly half its value at the sea level through the 'height' of the atmospheric is more than 100 km. (c) Hydrostatic pressure is a scalar quantity even though pressure is force divided by area , and force is a vector.

State true/false: S_1 : Hydrostatic pressure is a scalar quantity even though pressure is force divided by area and force is a vector quantity? S_2 : A barometer made of a very narrow tube (see figure) is placed at normal temperature and pressure. The coefficient of volume expansion of mercury is 0.00018//.^@C and that of the tube is negligible. The temperature of mercury in the barometer is now raised by 1^@C but the temperature of the atmosphere does not change. Then, the mercury height in the tube remains unchanged. S_3 A block of ice with a lead shot embedded in it is floating on water contained in a vessel. The temperature of the system is maintained at 0^@C as the ice melts. When the ice melts completely the level of water in the vessel rises.

Knowledge Check

  • Pressure is a scalar quantity, because

    A
    it is the ratio of force to area and both force and area are vectors.
    B
    it is the ratio of the magnitude of the force to area
    C
    it is the ratuo of the component of the force normal to the area
    D
    it depends on the size of the area chosen.

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