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A hollow sphere is completely filled wit...

A hollow sphere is completely filled with a liquid having a density `rho`. The radius of the sphere is `R`. Now the sphere is puloled with a constant horizontal acceleration of `g` on a horizontal surface. Take centre of sphere as origin of coordinate system as shwon in the figure.
Coordinate of the point having the minimum pressure is

A

`R/(sqrt(2)),R/(sqrt(2))`

B

`R/2,R/2`

C

`(-R)/(sqrt(2)),(-R)/(sqrt(2))`

D

`(-R)/2, (-R)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Effective gravity `(sqrt2g)` will be along line OC.
Pressure will be minimum at D and maximum at c.

Pressure will be the same at all points on a surface which is perpendicular to line CD. Hence `P_A=P_B`
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