A submarine can tolerate a maximum absolute pressure of 100 atm. What is the maximum depth below the surface of water? Use ρ = 1000 kg·m⁻³, g = 10 m·s⁻² and 1 atm = 1 × 10⁵ Pa.
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Question

A submarine can tolerate a maximum absolute pressure of 100 atm. What is the maximum depth below the surface of water? Use ρ = 1000 kg·m⁻³, g = 10 m·s⁻² and 1 atm = 1 × 10⁵ Pa.

G1 Physics · Accepted Answer

Step 1: Absolute pressure at depth h is P(absolute) = P(atmospheric) + ρgh. Step 2: The allowed hydrostatic pressure increase is 100 − 1 = 99 atm = 99 × 10⁵ Pa. Step 3: Rearrange: h = (P(absolute) − P(atmospheric))/(ρg). Step 4: h = (99 × 10⁵)/(1000 × 10) = 990 m. Final answer: 990 m (Option B).