The Bernoulli's equation is given by `P+1/2 rho v^(2)+h rho g=k`. Where P= pressure, `rho`= density, v= speed, h=height of the liquid column, g= acceleration due to gravity and k is constant. The dimensional formula for k is same as that for:

Options

A. Velocity gradient
B. Pressure gradient
C. Modulus of elasticity
D. Thrust

Answer

C

Explanation

k is dimensionally equal to P
`k = [M^(1)L^(-1)T^(-2)]`
Modulus of elasticity = `("Stress")/("Strain") = ("F/A")/((Delta l )/(l)) = [ML^(-1)T^(-2)]`