Most Important Selected Qs for JEE AdvancedPhysicsMechanical Properties of Fluids
A rectangular vessel of dimension (l b h) and mass M contains a liquid of density . The vessel has an orifice at its bottom at a distance c from the rear wall as shown in the figure
Options
- AThe maximum volume of the water that can be stored when the vessel is accelerated is hcb/2
- BThe maximum volume of the water that can be stored when the vessel is accelerated is hb/2
- CForce F that must be applied when maximum water is stored is [M+ h c b 2 ] h g c
- DForce F that must be applied when maximum water is stored is [M+ h c b p 2 ] l g c
Correct answer
C. Force F that must be applied when maximum water is stored is [M+ h c b 2 ] h g c
Step-by-step solution
A , C - The maximum amount of water that can be retained is shown in the figure. If is the angle made by the water surface with the horizontal, then = h c = a g a= h g c So the maximum volume that can be retained is (1 / 2) h c b and F= [M+ h c b 2 ] h g c