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The magnitude of atmospheric pressure is...

The magnitude of atmospheric pressure is equal to the pressure exerted by a :

A

76 mm tall column of mercury

B

76 0 mm tall column of water

C

76 cm tall column of mercury

D

760 cm tall column of mercury.

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The correct Answer is:
To solve the question about the magnitude of atmospheric pressure and its equivalence to the pressure exerted by a column of mercury, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Atmospheric Pressure**: Atmospheric pressure is the force exerted by the weight of air above a surface. It can be measured using a column of liquid, typically mercury. 2. **Identify the Measurement Units**: Atmospheric pressure is commonly measured in millimeters of mercury (mmHg). The standard atmospheric pressure at sea level is defined as 760 mmHg. 3. **Convert Units**: Recognize that 760 mm is equivalent to 76 cm (since 1 cm = 10 mm). This means that the height of the mercury column that exerts the same pressure as the atmosphere is 76 cm. 4. **Relate Pressure to Height of Mercury Column**: The pressure exerted by a column of liquid is given by the formula: \[ P = \rho g h \] where \( P \) is the pressure, \( \rho \) is the density of the liquid (mercury in this case), \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column. 5. **Conclusion**: Since the atmospheric pressure is equivalent to the pressure exerted by a 76 cm tall column of mercury, we can conclude that the correct answer is **Option 3: 76 centimeter tall column of mercury**. ### Final Answer: The magnitude of atmospheric pressure is equal to the pressure exerted by a **76 centimeter tall column of mercury**. ---
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