Physics

Problem

Two students write expressions for the pressure

P

at a depth

h

in a liquid of density

\rho

. Student X:

P = k\, \rho g h

Student Y:

P = k\, \rho g h^{2}

(

k

is a dimensionless constant and

g

is acceleration due to gravity.) Which statement is correct? a) Only Student Y’s expression is dimensionally consistent. b) Both expressions are dimensionally consistent. c) Only Student X’s expression is dimensionally consistent. d) Neither expression is dimensionally consistent.

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