SHMHard

Question

A U-tube contains mercury  of total length 2 as shown and is disturbed so that it oscillates back and fourth from arm to arm. If we neglect friction, the period of oscillation is:

Options

A.
B.
C.
D.

Solution


liquid is displaced by x
at displaced position 
So net force on fluid  = (2xA)ρg = mω2x
= rA (2l)ω2x
ω =     ⇒    T =

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