Question

In the U tube manometer, if we use water as the liquid instead of mercury, you can get the height difference by doing which one of the following to an equivalent mercury expression for obtaining the pressure?

A. Multiplying by 13.6
B. Subtracting 13.6
C. Adding 13.6
D. Dividing by 13.6

Answer 1

To convert the height difference for pressure measurement from mercury to water in a U tube manometer, divide the mercury height difference by 13.6, which accounts for the difference in density between the two liquids. Option number d is correct.

Step-by-step explanation:

To convert the height difference in a U tube manometer from mercury to water, you should divide by 13.6 because the density of mercury is 13.6 times greater than the density of water. When the manometer is filled with mercury, the height that the mercury column rises in response to pressure is much smaller compared to the height that a water column would rise because of the greater density of mercury.

This means that to obtain an equivalent pressure measurement using water instead of mercury, the water column's height needs to be divided by the factor that represents the ratio of the two liquids' densities, which is 13.6.

Therefore, the correct answer to the question 'In the U tube manometer, if we use water as the liquid instead of mercury, you can get the height difference by doing which one of the following to an equivalent mercury expression for obtaining the pressure?' would be D. Dividing by 13.6.