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UPSC Civil Service Exam Questions - Engineering

Q1:

Consider the following statements relating to the stability of floating as well as submerged bodies :
1. A submerged body is stable when the centre of gravity is below the centre of buoyancy.
2. A floating body is stable when the centre of gravity is above the centre of buoyancy.
3. A floating body is stable when the centre of gravity is below the metacentre.
4. A submerged body is in stable equilibrium when the centre of gravity coincides with the centre of buoyancy.
Of these statements :

A 1, 2 and 3 are correct

B 2, 3 and 4 are correct

C 1, 2 and 4 are correct

D 1, 3 and 4 are correct

ANS:D - 1, 3 and 4 are correct

For the stability of the floating body :

The metacentre must be above the Centre of gravity not centre of buoyancy.
Here option 2 talks about the centre of buoyancy instead of the metacentre so it's wrong.

The correct option is D.