The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is

Step-by-step solution

Pressure at neck of bottle p₁= F₁ A₁ = F₁ r₁^2 Similarly, pressure at bottom of bottle p₂= F₂ A₂ = F₂ r₂^2 According to Pascal's law, liquids transmit pressure equal in all directions. aligned F₁ r₁^2 & = F₂ r₂^2 12 (3)^2 & = F₂ (15)^2 F₂ & = 12 15 15 3 3 F₂ & =300 ~N aligned