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Two copper vessels A and B have the same base area but different shapes. A takes twice the volume of water that B requires to fill up to a particular common height. Then the correct statement among the following is:

Asked in Re-NEET 2022 · Pressure and depth

• (1) Vessel B weighs twice that of A.
• (2) Pressure on the base area of vessels A and B is same.
• (3) Pressure on the base area of A and B is not same.
• (4) Both vessels A and B weigh the same.

Step-by-step solution

Why the other options are wrong

• (1) comes from it is A that holds twice the water, not B, and in any case the stem says nothing about the masses of the empty vessels
• (3) comes from reads the pressure off the amount of liquid; the base pressure is ρ gh, which depends only on the depth, so equal heights give equal pressures whatever the shape
• (4) comes from the two hold different volumes of water at the same height, so the filled vessels cannot weigh the same

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