If a vessel containing a fluid of density ( ) upto height (h ) is accelerated vertically downwards with acceleration (a₀ ). Then, the pressure by fluid at the bottom of vessel is given by the equation ........ ( (p₀ ) denotes the atmospheric pressure and (g ) denotes the acceleration due to gravity).

Step-by-step solution

When a vessel containing a fluid of density ( ) upto height (h ) is accelerated downwards with acceleration (a₀ ), then net gravitational acceleration acting on the fluid (g^ =g-a₀ ) ...(i) Hence, the pressure by the fluid at the bottom of vessel is given as (p=p₀+ g^ h=p₀+ (g-a₀ ) h [From Eq. (i)] )