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One end of a U-tube containing mercury i...

One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the column of mercury in the U-tube executes simple harmonic motion.

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To show that the column of mercury in the U-tube executes simple harmonic motion when the suction pump is removed, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have a U-tube filled with mercury. One end is connected to a suction pump, and the other end is open to the atmosphere. Initially, there is a pressure difference maintained by the suction pump. 2. **Initial Conditions**: ...
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