The cylindrical tube of a spray pump has radius , one end of which has fine holes, each of radius . If the speed of the liquid in the tube is , the speed of the ejection of the liquid through the holes is [2015]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
The cylindrical tube of a spray pump has radius $R$ , one end of which has $n$ fine holes, each of radius $r$ . If the speed of the liquid in the tube is $V$ , the speed of the ejection of the liquid through the holes is [2015]

1 $\frac{V R^{2}}{n^{3} r^{2}}$

2 $\frac{V^{2} R}{n r}$

3 $\frac{V R^{2}}{n^{2} r^{2}}$

4 $\frac{V R^{2}}{n r^{2}}$

Ans.
(4)

Let the speed of the ejection of the liquid through the holes be $v$ . Then according to the equation of continuity,

$π R^{2} V = n π r^{2} v or v = \frac{π R^{2} V}{n π r^{2}} = \frac{V R^{2}}{n r^{2}}$

Solution

Q.
The cylindrical tube of a spray pump has radius $R$ , one end of which has $n$ fine holes, each of radius $r$ . If the speed of the liquid in the tube is $V$ , the speed of the ejection of the liquid through the holes is [2015]

1 $\frac{V R^{2}}{n^{3} r^{2}}$

2 $\frac{V^{2} R}{n r}$

3 $\frac{V R^{2}}{n^{2} r^{2}}$

4 $\frac{V R^{2}}{n r^{2}}$

Ans.
(4)

Let the speed of the ejection of the liquid through the holes be $v$ . Then according to the equation of continuity,

$π R^{2} V = n π r^{2} v or v = \frac{π R^{2} V}{n π r^{2}} = \frac{V R^{2}}{n r^{2}}$

Want Us to Email you About Special Offers & Updates?

Solution

Q. The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is [2015]

1 VR2n3r2

2 V2Rnr

3 VR2n2r2

4 VR2nr2

Ans. (4) Let the speed of the ejection of the liquid through the holes be v. Then according to the equation of continuity, πR2V=nπr2v or v=πR2Vnπr2=VR2nr2

Want Us to Email you About Special Offers & Updates?

Q.
The cylindrical tube of a spray pump has radius $R$ , one end of which has $n$ fine holes, each of radius $r$ . If the speed of the liquid in the tube is $V$ , the speed of the ejection of the liquid through the holes is [2015]

1 $\frac{V R^{2}}{n^{3} r^{2}}$

2 $\frac{V^{2} R}{n r}$

3 $\frac{V R^{2}}{n^{2} r^{2}}$

4 $\frac{V R^{2}}{n r^{2}}$

Ans.
(4)

Let the speed of the ejection of the liquid through the holes be $v$ . Then according to the equation of continuity,

$π R^{2} V = n π r^{2} v or v = \frac{π R^{2} V}{n π r^{2}} = \frac{V R^{2}}{n r^{2}}$