JEE Main 201911 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2019
- Date
- 11 January
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
JEE Main 2019 · 11 January · Morning Shift · Physics · Mechanical Properties of Fluids
A liquid of density is coming out of a hose pipe of radius a with...
A liquid of density is coming out of a hose pipe of radius a with horizontal speed and hits a mesh. of the liquid passes through the mesh unaffected. looses all of its momentum and comes back with the same speed. The resultant pressure on the mesh will be:
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Mass per unit time of the liquid = \rhoav Momentum per second carried by liquid
Net force due to bounced back liquid, \left[\frac{1}{4} \rho \mathrm{av}^{2}\right]\mathrm{F}_{2}=\frac{1}{4}^{2}\mathrm{F}=\mathrm{F}_{1}+\mathrm{F}_{2}=\frac{1}{2} \rho \mathrm{av}^{2}+\frac{1}{4} \mathrm{pav}^{2}=\frac{3}{4} \mathrm{pav}^{2}=\frac{3}{4} \rho v^{2}