wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

A metallic sphere floats in an immiscible mixture of water (density 103 kg/m3) and a liquid (density 8×103kg/m3) such that its (23) part is in water and (13) part in the liquid. The density of the metal is


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B


Obviously water will float on top of the liquid. If the total volume of the ball is V from free body diagram

mg=FB+FBq

let density of water be ρω, density of liquid be ρl and density of ball be ρ.

ρ Vg=ρl13V g+ρω23V g

ρ=13ρl+23ρω

=13(8000)+23(1000)

=100003


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Archimedes' Principle
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon