Question

A sphere of radius R band relative density 4 is hanging with the help of string such that it remains just inside water. The ratio of force exerted by the liquid on upper and lower half of the sphere is

Answer 1

Answer:

ANSWER

Total surface area=4πR

2

Surface area of upper half=2πR

2

Surface area of lower half=2πR

2

Average pressure of on upper half=(

2

h

1

+h

2

)ρg=

2

R

ρg

Average pressure of on lower half=(

2

h

1

+h

2

)ρg=

2

3R

ρg

Force upper half=

2

R

ρg×2πR

2

Force lower half=

2

3R

ρg×2πR

2

Ratio=

3

1