A large open-top tank is filled with water to a height $ H $. A small hole is poked in the side at a height $ h $ from the bottom. If the tank is now sealed with a pressurized air pocket at the top such that the pressure at the surface is $ 2P_{\text{atm}} $ instead of $ P_{\text{atm}} $, how does the efflux speed $ v $ change?

Question

A large open-top tank is filled with water to a height $ H $. A small hole is poked in the side at a height $ h $ from the bottom. If the tank is now sealed with a pressurized air pocket at the top such that the pressure at the surface is $ 2P_{\text{atm}} $ instead of $ P_{\text{atm}} $, how does the efflux speed $ v $ change?(a) The speed $ v $ remains the same because it only depends on $ H &#8211; h $.
, (b) The speed $ v $ decreases because the air pushes down on the water, increasing viscosity.
, (c) The speed $ v $ increases by a factor of exactly $ \sqrt{2} $.
, (d) The speed $ v $ increases.
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