In a barometer, air is trapped in the space labelled 'A above the mercury level in the tube of the barometer, which measures 730 mmHg. If the atmospheric pressure is 750 mmHg, then the pressure of the trapped air is: 

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  1. 750 mmHg
  2. 20 mmHg
  3. 730 mmHg
  4. 745 mmHg

Answer (Detailed Solution Below)

Option 2 : 20 mmHg
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Given Data:

Atmospheric Pressure,  = 750 mm Hg

Height of the mercury column, h = 730 mm Hg

Calculation:

The relationship between atmospheric pressure and the pressure of air is given by:

\(P_{\text{atm}} = P_{\text{air}} + h \)

\(P_{\text{air}} = P_{\text{atm}} - h \)

\(P_{\text{air}} = 750 \, \text{mmHg} - 730 \, \text{mmHg} \)

\(P_{\text{air}} = 20 \, \text{mmHg} \)

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