A bucket resting on the floor of an elevator contains an incompressible fluid of density .When the elevator has an upward acceleration a the pressure difference between two points in a fluid separated by a vertical distance $\Delta$ h, is given by:
A)" a $\Delta$ h"
B)" g$\Delta$h"
C)" (g + a)$\Delta$h"
D)" (g - a)$\Delta$h"
E)" ga$\Delta$h"

Question

A bucket resting on the floor of an elevator contains an incompressible fluid of density   .When the elevator has an upward acceleration a the pressure difference between two points in a fluid separated by a vertical distance  $\Delta$ h, is given by:
A)" a $\Delta$ h" 
B)" g$\Delta$h" 
C)" (g + a)$\Delta$h" 
D)" (g - a)$\Delta$h" 
E)" ga$\Delta$h"

Quizplus · Accepted Answer

The pressure difference between two points in a fluid separated by a vertical distance h is given by the formula:
ΔP = ρgh
where ρ is the density of the fluid, g is the acceleration due to gravity and h is the vertical distance between the two points.
When the elevator has an upward acceleration a, the net acceleration experienced by the fluid in the bucket is (g+a). Therefore, the pressure difference between the two points is:
ΔP = ρ(g+a)h
Substituting the given values, we get:
ΔP = F1ρaS1h

A Bucket Resting on the Floor of an Elevator Contains Δ\DeltaΔ

A Bucket Resting on the Floor of an Elevator Contains $\Delta$