CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A body floats in water with its one-third volume above the surface. The same body floats in a liquid with one-third volume immersed. The density of the liquid is:

A
9 times more than that of water
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2 times more than that of water
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3 times more than that of water
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1.5 times more than that of water
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2 times more than that of water
Body floats in water with its one-third volume above the surface, so according to law of floatation, we have
weight of the body = upthrust in water
W=(2V3)ρwg .....(I) Since two-third volume is under the water.
And applying the same for the liquid, we have
W=(V3)ρlg .....(II)
from (I) and (I), we have
(2V3)ρwg=(V3)ρlg
ρl=2ρw

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Archimedes' Principle
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon