An open U-tube contains mercury. When 11.2cm of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial unit?

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answer is C.

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Detailed Solution

Concept: Here we have to find the correct option, thus the pressure inside the same liquid at the same height will be equal.
As per the data given in the above question,
Water is poured into one of the arms of the tube

Let us consider the pressure as reference point, when water is pour in right side of arm a move downward and B moves upward for the pressure,
So the pressure at the point is given by,

Now due to atmospheric pressure at A we get,
Question Image

Further the pressure at B is,
Question Image

So the pressure at both point is equal,

Comparing both equation we get,
Question Image

As we know that the density of water is

The density of mercury is

So, the mercury rise in the other arm from its initial unit

Hence, option 3 is correct.

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