Answer :
Final Answer:
The pressure from the Hg column, being denser than the gas, compresses the gas, resulting in a shorter gas column length (l₁) compared to the Hg column length (h). Thus the correct option is c) l₁ < h
Explanation:
When the tube is placed with its closed end upward, the trapped gas experiences two opposing pressures:
Atmospheric pressure (P_atm): Pushing down on the gas column from above.
Mercury pressure (P_Hg): Due to the weight of the Hg column, pushing down from below.
Since the Hg column is denser than the gas, the pressure exerted by the Hg column (P_Hg) is greater than the atmospheric pressure (P_atm). This pressure difference pushes the gas column down the tube, compressing it.
Impact on Gas Column Length:
Original gas column length: Let's denote this as L.
Length of the gas column with the tube upward (l₁): Due to the pressure difference explained above, the gas gets compressed, and its length (l₁) will be shorter than the original length (L).
Therefore, l₁, the length of the gas column when the tube is placed upward, will be less than h, the length of the Hg column. Thus the correct option is c) l₁ < h