Two students write expressions for the pressure at a depth in a liquid of density
PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
Two students write expressions for the pressure P at a depth h in a liquid of density ρ.
Student X: P=kρgh
Student Y: P=kρgh2
(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.