Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density = 0.9 g/cc. what must be the density of the liquid in which the smaller body simultaneously immersed so as not to disturb the equilibrium of the balance ?
Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density = 0.9 g/cc. what must be the density of the liquid in which the smaller body simultaneously immersed so as not to disturb the equilibrium of the balance ?
Asked by Paresh
| 20th Nov, 2015,
11:00: AM
Given:
V1 = V
V2 = 2 V
both have the same mass.
Therefore, their densities are,
M1 = M2 and d2 = ½ × d1
M2 is immersed in oil of density 0.9 g/cc
Buoyancy force on the larger body, M2 = V2 × 0.9 × g
let the density of the liquid in which the smaller body M1 is immersed be d g/cc
Buoyancy force on the smaller body, M1 = V1 × d × g
For the balance to remain at equilibrium, M2 = M1
V2 × 0.9 × g = V1 × d × g

The density of the liquid in which the smaller body simultaneously immersed is 1.8 g/cc
Given:
V1 = V
V2 = 2 V
both have the same mass.
Therefore, their densities are,
M1 = M2 and d2 = ½ × d1
M2 is immersed in oil of density 0.9 g/cc
Buoyancy force on the larger body, M2 = V2 × 0.9 × g
let the density of the liquid in which the smaller body M1 is immersed be d g/cc
Buoyancy force on the smaller body, M1 = V1 × d × g
For the balance to remain at equilibrium, M2 = M1
V2 × 0.9 × g = V1 × d × g
The density of the liquid in which the smaller body simultaneously immersed is 1.8 g/cc
Answered by Priyanka Kumbhar
| 20th Nov, 2015,
11:42: AM
Concept Videos
- what is density?
- When a piece of cork is put into the water it starts floating on the surface of water due to the upward buoyant force from water.
- you are provided with a piece of rock and common laboratory equipments.how will you proceed to find its density.
- what are fluids?
- solution
- What is the unit of density?
- What happens if the bouyant force of liquid is equal to or greater than or less than the solid object which is to be immersed into the liquid
- what is the relationship between boyant force and displaced water
- pressure at certain depth in river water is p1.,same depth in sea water is p2.which of following is correct? a)p1=p2 b)p1>p2 c)p1<p2 d)p1-p2=atmospheric pressure
- why is it easier for a person to swim in sea water than in fresh water?
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change