A piece of wood of mass 6kg is floating in water with its 13rd part inside the water. On this floating piece of wood, what maximum mass can be put such that the whole of the piece of wood gets drowned in the water?
A
15kg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
14kg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10kg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12kg
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D12kg Weight of the submerged part of the block, W=13Vρwg ..........(i)
where ρw is density of water.
Now,
Excess weight(W′) = weight of water having 23rd volume of the block. W′=23Vρwg ........(ii)
Dividing (ii) by (i), W′W=2313 ∴W′=2W⇒W′=2×6=12kg