A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration g / 4, the fraction of volume immersed in the liquid will be

Question

A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration g / 4, the fraction of volume immersed in the liquid will be (A) 1/4 (B) 1/2 (C) 3/4 (D) 2/3

Tardigrade Admin · Accepted Answer

Upward acceleration just causes the acceleration due to gravity increases by some value, but since the term of

^{'} g^{'}

gets cancelled out in the buoyancy equation. Volume immersed

\times ρ_{w} \times g =

Total volume

\times ρ_{cube} \times g

So, increasing it will not have any effect on the immersed volume.

Q. A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration g/4, the fraction of volume immersed in the liquid will be

1/4

1/2

3/4

2/3

Upward acceleration just causes the acceleration due to gravity increases by some value, but since the term of ′g′ gets cancelled out in the buoyancy equation. Volume immersed ×ρw​×g= Total volume ×ρcube ​×g So, increasing it will not have any effect on the immersed volume.

Q. A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid. If whole of the system accelerates upward with acceleration $g /4$ , the fraction of volume immersed in the liquid will be