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QPages 34-37: Q33: HC Verma: Concepts of Physics - Volume 2 Kinetic Theory of Gases Pages 34-37: Q33 Solution: A uniform tube closed at one end, contains a pellet of mercury…

A uniform tube closed at one end, contains a pellet of mercury 10 cm long. When the tube is kept vertically with the closed-end upward, the length of the air column trapped is 20 cm. Find the length of the air column trapped when the tube is inverted so that the closed-end goes down. Atmospheric pressure = 75 cm of mercury.

Step-by-Step Verified Solution

**Answer:** L2=30 cmL_2 = 30 \text{ cm} **Step-by-Step Explanation:** Initial (closed end up): P1=75+10=85P_1 = 75 + 10 = 85 cm Hg, L1=20L_1 = 20 cm. Inverted (closed end down): P2=75−10=65P_2 = 75 - 10 = 65 cm Hg, L2=?L_2 = ? P1L1=P2L2⇒85×20=65×L2⇒L2=26.15P_1 L_1 = P_2 L_2 \Rightarrow 85 \times 20 = 65 \times L_2 \Rightarrow L_2 = 26.15 cm.

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