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a piston in a cylinder that is connected to a manometer. describe and explain what will happen to the difference in height between the two mercury level when more mercury is poured into the manometer, when the initial difference is 0.2 m

Question

a piston in a cylinder that is connected to a manometer. describe and explain what will happen to the difference in height between the two mercury level when more mercury is poured into the manometer, when the initial difference is 0.2 m

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Solution

When more mercury is poured into the manometer, the difference in height between the two mercury levels will increase. This is because the additional mercury increases the pressure in the manometer, causing the mercury level on the side connected to the cylinder to rise higher than the other side.

To explain this further, let's consider the initial situation where the difference in height between the two mercury levels is 0.2 m. This means that the pressure inside the cylinder is higher than the pressure in the manometer.

When more mercury is poured into the manometer, it creates a column of mercury that exerts pressure on the gas inside the cylinder. This additional pressure causes the piston to move upwards, compressing the gas and increasing the pressure inside the cylinder. As a result, the mercury level on the side connected to the cylinder rises higher than the other side, increasing the difference in height between the two mercury levels.

In summary, pouring more mercury into the manometer increases the pressure inside the cylinder, causing the mercury level on the side connected to the cylinder to rise higher than the other side. This leads to an increase in the difference in height between the two mercury levels.

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