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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2015 · Physics · Mechanical Properties of Fluids

The cylindrical tube of a spray pump has radius R , one end of...

The cylindrical tube of a spray pump has radius RR , one end of which has nn fine holes, each of radius rr . If the speed of the liquid in the tube is VV , the speed of the ejection of the liquid through the holes is :

Options

  1. AVR2nr2\dfrac{V{R}^{2}}{n{r}^{2}}
  2. BVR2n3r2\dfrac{V{R}^{2}}{{n}^{3}{r}^{2}}
  3. CV2Rnr\dfrac{{V}^{2}R}{nr}
  4. DVR2n2r2\dfrac{V{R}^{2}}{{n}^{2}{r}^{2}}

Correct answer

A. VR2nr2\dfrac{V{R}^{2}}{n{r}^{2}}

Step-by-step solution

Volume inflow rate = volume an flow rate

πR2V=nπr2⇒v=πR2Vnπr2=VR2nr2\pi{R}^{2}V = n\pi{r}^{2} ⇒ v = \dfrac{\pi{R}^{2}V}{n\pi{r}^{2}} = \dfrac{V{R}^{2}}{n{r}^{2}}
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