Drive the dimension of surface tension and young's modulus of elasticity
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Surface Tension is defined as force per unit length. The formula is
Surface Tension= Force/Length
Dimensional Formula of Force = M1L1T-2
Divide it by Length L1
So Dimensional Formula of Surface Tension = M1L0T-2
SI unit of Surface Tension is Nm-1
Young's modulus is the ratio of stress, which has units of pressure, to strain, which is dimensionless; therefore, Young's modulus has units of pressure. From my reasoning if something is dimensionless, it should be a unitless ratio.
Surface Tension= Force/Length
Dimensional Formula of Force = M1L1T-2
Divide it by Length L1
So Dimensional Formula of Surface Tension = M1L0T-2
SI unit of Surface Tension is Nm-1
Young's modulus is the ratio of stress, which has units of pressure, to strain, which is dimensionless; therefore, Young's modulus has units of pressure. From my reasoning if something is dimensionless, it should be a unitless ratio.
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