Two small plates of areas A?₁ and A₂ are immersed in a fluid at the same depth. The pressure and perpendicular force exerted on plates A?₁ and A₂ are p?₁ and p₂ and F?₁ and F₂, respectively. If A₁ A₂, which of the following statements is true? A) F₁ F₂, p₁ p₂ B) F₁= F₂, p₁ p₂ C) F₁= F₂, p₁= p₂ D) F₁ F₂, p₁= p₂ E) F₁ F₂, p₁

Question

Two small plates of areas A?₁ and A₂ are immersed in a fluid at the same depth. The pressure and perpendicular force exerted on plates A?₁ and A₂ are p?₁ and p₂ and F?₁ and F₂, respectively. If A₁> A₂, which of the following statements is true? A) F₁> F₂, p₁> p₂ B) F₁= F₂, p₁> p₂ C) F₁= F₂, p₁= p₂ D) F₁> F₂, p₁= p₂ E) F₁> F₂, p₁< p₂

Quizplus · Accepted Answer

The force exerted on the plates is directly proportional to the area of the plate. Therefore, the larger plate (A₂) will experience a greater force (F₂) than the smaller plate (A?₁) due to its larger area. However, the pressure exerted on each plate is dependent not only on the area but also on the depth of immersion. Since both plates are immersed at the same depth, the pressure exerted on each plate will be the same. Therefore, the pressure exerted on both plates will be equal (p₁= p₂). Therefore, the only option that is consistent with this reasoning is option D.

Two Small Plates of Areas A?1 and A2 Are Immersed

Two Small Plates of Areas A?₁ and A₂ Are Immersed