give the dimension of surface taintion
Answers
Answer:
The surface tension of a liquid is measured as the force per length acting on an imaginary line drawn tangentially on the liquid's free surface. SI unit: Nm-1 or Jm-2 and its dimension formula for surface tension is [MT-2].
Explanation:
Dimensional Formula of Surface Tension
The surface tension dimensional formula is given by,
M¹L⁰T⁻²
Where,
M = Mass
L = Length
T = Time
Derivation
Surface Tension (T) = Force × Length-1 . . . . . (1)
Since, Force = Mass × Acceleration
And, acceleration = velocity × time-1 = [L T-2]
∴ Dimensional unit of surface tension = M1 L1 T-2 . . . . (2)
Substitute equation (2) in equation (1), later we get,
Surface Tension (T) = Force × Length-1
Or, T = [M1 L1 T-2] × [L-1] = M1 T-2.
Therefore, the surface tension dimension formula is represented as M1 T-2.
Answer:
Surface Tension (T) = Force × Length-1
Or, T = [M1 L1 T-2] × [L-1] = M1 T-2.
Therefore, surface tension is dimensionally represented as M1 T-2.