Questions
A rectangular block of mass m and area of cross-section A floats in a liquid of density . If it is given a small vertical displacemnet from equilibrium it undergoes oscillation with a time period T. Then
detailed solution
Correct option is A
Let the body be depressed by distance x from its equilibrium position. The extra upthrust created is x ρAg which applies to whole body. If a be acceleration created then,xρAg=−mga⇒a=−ρAmx Since, acceleration ∝x . So, it is equation of S.H.M. ∴ ω2=ρAm⇒T=2πmρA⇒T∝1ATalk to our academic expert!
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A brass cube of side a and density is floating in mercury of density . If the cube is displaced a bit vertically, it executes S.H.M. Its time period will be
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