One end of a V-tube containing mercury is connected to a suction...

One end of a V-tube containing mercury is connected to a suction pump and the other end to atmosphere. The two arms of the tube are inclined to horizontal at an angle of 45° each. A small pressure difference is created between two columns when the suction pump is removed. Will the column of mercury in V-tube execute simple harmonic motion? Neglect capillary and viscous forces.Find the time period of oscillation.

Options

A $2\pi \sqrt{\frac{l}{g}}$
B $2\pi \sqrt{\frac{2l}{g}}$
C $2\pi \sqrt{\frac{l}{2g}}$
D $2\pi \sqrt{\frac{l}{3g}}$

Correct answer

A. $2\pi \sqrt{\frac{l}{g}}$

Step-by-step solution

Correct Option is : (A)

2\pi \sqrt{\frac{l}{g}}

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