A water-filled cylindrical tube moves down a 45° incline with constant acceleration a. Let P₁ and P₂ be pressures at two base points separated as shown, and β = (P₁-P₂)/(ρgd). Select the correct statements. Image
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Question

A water-filled cylindrical tube moves down a 45° incline with constant acceleration a. Let P₁ and P₂ be pressures at two base points separated as shown, and β = (P₁-P₂)/(ρgd). Select the correct statements. Image

Select all that apply

G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives A: β = 0 when a = g/√2; C: β = (√2−1)/√2 when a = g/2. Final answer: AC.

A water-filled cylindrical tube moves down a 45° incline with constant acceleration a. Let P₁ and P₂ be pressures at two base points separated as shown, and β = (P₁−P₂)/(ρgd). Select the correct statements. Image