In the expression

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

In the expression

p + \dfrac{1}{2}\rho v^{\,n} + \rho g h = \text{constant}

p

is pressure,

\rho

is density,

v

is speed,

g

is acceleration due to gravity, and

h

is height. For the equation to be dimensionally valid, the exponent

n

must be (a) 1 (b) 4 (c) 2 (d) 3