A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ ρ . If it is given a small vertical displacement from equilibrium, it undergoes oscillation with a time period T.
Text Solution
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(a, c, d)
In equilibrium, let l = length of the block immersed.
mg = Al ρ ρ g.
If the block is given a further downward displacement x and its downward acceleration becomes a then
(a, c, d)
In equilibrium, let l = length of the block immersed.
mg = Al ρ ρ g.
If the block is given a further downward displacement x and its downward acceleration becomes a then
mg – A (1 + x) ρ ρ g = ma or a = - 
Put ω ω 2 = 
.
a = - ω ω 2 x. This is SHM with time period T = 2 π π 
.
mg – A (1 + x) ρ ρ g = ma or a = - 
Put ω ω 2 = 
.
a = - ω ω 2 x. This is SHM with time period T = 2 π π 
.
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