Physics · MECHANICAL PROPERTIES OF FLUIDS

Three vessels \( A \), \( B \), and \( C \) of different base shapes and capacities have the same base area and are filled with water to the same height \( h \). If \( P_A, P_B, P_C \) are the pressures and \( F_A, F_B, F_C \) are the forces exerted by the liquid at the base of vessels \( A, B, C \) respectively, then:

1. A
   \( P_A = P_B = P_C \) and \( F_A = F_B = F_C \)
2. B
   \( P_A > P_B > P_C \) and \( F_A > F_B > F_C \)
3. C
   \( P_A = P_B = P_C \) but \( F_A \neq F_B \neq F_C \)
4. D
   \( P_A < P_B < P_C \) and \( F_A < F_B < F_C \)