# Physics jee problem

A cubical block of side $$2a$$ when submerged till depth $$\dfrac a2$$ in a liquid of density $$k$$ is in equilibrium
1.What is the density of the block?
2.What is the time period of shm for small oscillations?
3.What happens if it is pushed completely vertically down?

Note by Soham Dibyachintan
2 years, 7 months ago

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- 2 years, 7 months ago

- 2 years, 7 months ago

The time period comes out to be 2pi× sq. root of (a/2g)

- 2 years, 6 months ago

The density, of the block, should be given, in the terms of the density, of the water?

- 2 years, 7 months ago

No need. It can be easily found by equating the buoyant force and the weight of the block. Density of the block is K/4.

- 2 years, 6 months ago

Yes

- 2 years, 7 months ago