What is the dimension of pressure?

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SSC JE ME Previous Paper 10 (Held on: 11 December 2020 Morning)
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  1. M1L0T-2
  2. M1L-1T-2
  3. M1L1T-2
  4. M1L-1T2

Answer (Detailed Solution Below)

Option 2 : M1L-1T-2
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Option 2 is correct, i.e. M1L-1T-2 

  • Pressure:
    • It is the component of the force normal to the area under consideration.
    •  Its dimensions are M1L–1T–2
    • The pressure is a scalar quantity.
    •  The SI unit of pressure is Nm–2. It has been named as pascal (Pa).
    • Pressure (P)=(Force (F))/(Area  (A)).

i.e., \(P=\frac{F}{A}\)

  • Atmospheric Pressure:
    • The pressure of the atmosphere at any point is equal to the weight of a column of air of unit cross-sectional area extending from that point to the top of the atmosphere.
    • At sea level, it is 1.013 × 105 Pa (1 atm). 
    • Atmospheric pressure is measured by the help of a Barometer.
  • Gauge Pressure: 
    • The pressure, at depth below the surface of a liquid open to the atmosphere, is greater than atmospheric pressure by an amount ρgh. The excess of pressure, at depth, is called gauge pressure.
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