Question
Medium
Solving time: 3 mins
A wooden cube (density of wood ) of side floats in a liquid of density with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period, . Then, is equal to
(a)
(b)
(c)
(d)
Text solutionVerified
Exp. (b)
Let at any instant, cube be at a depth from the equilibrium position, then Net force acting on the cube Upthrust on the portion of length
..........(i)
Negative sign shows that force is opposite to . Hence, equation of SHM
....(ii)
Comparing Eqs. (i) and (ii), we get
Let at any instant, cube be at a depth from the equilibrium position, then Net force acting on the cube Upthrust on the portion of length
..........(i)
Negative sign shows that force is opposite to . Hence, equation of SHM
....(ii)
Comparing Eqs. (i) and (ii), we get
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Question Text | A wooden cube (density of wood ) of side floats in a liquid of density with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period, . Then, is equal to (a) (b) (c) (d) |
Topic | Oscillations |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 |
Upvotes | 142 |