Physics · Pressure due to a fluid column, Pascal's law and its applications, effect of gravity on fluid pressure
Water is filled upto same height in two identical closed containers and . Contai
Water is filled upto same height in two identical closed containers \( A \) and \( B \). Container \( A \) has vacuum over the water while container \( B \) has air over the water. At the same depth of both the containers there is an opening on which identical balloons \( A \) and \( B \) are attached as shown in the figure given below. Then
- A. Balloon - \( A \) will bulge more than balloon - \( B \)
- B. Balloon - \( B \) will bulge more than balloon - \( A \)
- C. Both the balloons will bulge equally
- D. None of the balloons will bulge
Step-by-step solution
In container A, vacuum above water gives pressure at opening = ρgh only. In container B, air above water gives pressure = P_atm + ρgh. The external pressure on both balloons is atmospheric pressure. Thus, balloon B experiences a net outward pressure of ρgh, while balloon A experiences a net inward pressure (if ρgh < P_atm) or less outward pressure. Therefore, balloon B bulges outward, and balloon A may not bulge outward, so B bulges more.
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