JIPMER 2012
- Exam
- JIPMER
- Year
- 2012
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
JIPMER 2012 · Physics · Mechanical Properties of Fluids
The cylindrical tube of a spray pump has a cross-section of 8 ~cm^2...
The cylindrical tube of a spray pump has a cross-section of , one end of which has 40 fine holes each of area . If the liquid flows inside the tube with a speed of , the speed with which the liquid is ejected through the holes is
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
According to equation of continuity,
constant
For tube, \left(8 \times 10^{-4}\right) \times\left(\frac{0.15}{60}\right)=a_1 v_1\quad\left(40 \times 10^{-8}\right) \times v=a_2 v_2 \therefore \quad a_2 v_2=a_1 v_1 \therefore 40 \times 10^{-8} \times v=\frac{8 \times 10^{-4} \times 0.15}{60} \Rightarrow \quad v=\frac{8 \times 10^{-4} \times 0.15}{40 \times 10^{-8} \times 60} =5 \mathrm{~m} / \mathrm{s}