CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A vessel contains oil (density 0.8 g/cm2) over mercury (density 13.6 g/cm3). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cm3 is

A
3.3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
6.4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7.2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12.8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 7.2
As the sphere floats in the liquid. Therefore, its weight will be equal to the upthrust force on it.

Weight of sphere =43πR3ρg
Upthrust due to oil and mercurry
=23πR3σoilg+23πR3σHgg
Equating (i) and (ii)
43πR3ρg=23πR3×0.8g+23πR3×13.6g
2ρ=0.8+13.6=14.4ρ=7.2

flag
Suggest Corrections
thumbs-up
57
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon