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The physical quantity that has the same dimensional formula as pressure is:
  • a)
    Coefficient of viscosity
  • b)
    Force
  • c)
    Momentum
  • d)
    Young's modulus of elasticity
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The physical quantity that has the same dimensional formula as pressu...
Dimensional Formula of Pressure
Pressure is defined as the force exerted per unit area. Its dimensional formula is given as:
[P] = [M L^-1 T^-2]

Dimensional Formula of Young's Modulus of Elasticity
Young's modulus of elasticity is defined as the ratio of stress to strain in a material when it is subjected to an external force. Its dimensional formula is given as:
[Y] = [M L^-1 T^-2]

Comparing the Dimensional Formulas
We can see that the dimensional formula of pressure and Young's modulus of elasticity are the same. Therefore, the physical quantity that has the same dimensional formula as pressure is Young's modulus of elasticity. This means that both pressure and Young's modulus of elasticity have the same units of measurement.

Conclusion
In conclusion, pressure and Young's modulus of elasticity are two different physical quantities that have the same dimensional formula. This means that they have the same units of measurement and can be converted from one to the other using appropriate conversion factors.
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The physical quantity that has the same dimensional formula as pressure is:a)Coefficient of viscosityb)Forcec)Momentumd)Young's modulus of elasticityCorrect answer is option 'D'. Can you explain this answer?
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