You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Condition for Two Lines to Be Perpendicular

In the figure...

Question

In the figure shown a liquid is flowing through a tube at the rate of 0.1 m³/sec. The tube is branched into two semi circular tubes of cross sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross-section of the main tube (A) = 10^-2 m² and V_P = 20 m/sec.):

5 m/sec

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

30 m/sec

No worries! We‘ve got your back. Try BYJU‘S free classes today!

35 m/sec

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
5 m/sec

Flaw rate =0.1 $\frac{m^{3}}{s}$
$Q = Q_{1} + Q_{2}$
$0.1 = Q_{1} + Q_{2}$
$Q_{1} = A_{P} V_{P}$
$Q_{2} = A_{Q} V_{Q}$
$0.1 = A_{P} V_{P} + A_{Q} V_{Q}$
$0.1 = \frac{A}{3} \times 20 + \frac{2 A}{3} V_{Q}$
$0.1 = \frac{A}{3} \times (20 + 2 V_{Q})$
$0.01 = \frac{0.01}{3} (20 + 2 V_{Q})$
$\Rightarrow 30 = (20 + 2 V Q)$
$\Rightarrow 10 = 2 V_{Q}$
$V_{Q} = 5 \frac{m}{s}$

Suggest Corrections

Similar questions

Q. Figure shows a liquid flowing through a tube at the rate of

0.1 m^{3} / s

. The tube is branched into two semi-circular tubes of cross-sectional area

\frac{A}{3}

and

\frac{2 A}{3}

of sections P and Q respectively. The velocity of liquid at Q is (the cross section of the main tube is

A = 10^{- 2} m^{2}

and

V_{P} = 20 m / s

)

Q. Figure 4.186 shows a liquid flowing through a tube at the rate of

0.1 m^{3} / s

. The tube is branched into semicircular tubes of cross-sectional area

A / 3

and

2 A / 3

. The velocity of liquid at

Q

is (the cross section of the main tube is

A = 10^{- 2} m^{2}

and

v_{p} = 20 m / s)

Q. Figure shows a liquid flowing through a tube at the rate of

0.1 m^{3} / s

. The tube is branched into two semicircular tubes of cross-sectional area A/3 (upper) and 2A/3 (lower). The velocity of liquid at Q is (the cross section of the main tube is

A = 10^{- 2} m^{2}

and

v_{P} = 20 m / s)

In the figure shown, a liquid is flowing through a tube at the rate of 0.1 $m^{3}$ /sec. The tube is randed into two semicircular tubes of cross sectional area $\frac{A}{3}$ and 2 $\frac{A}{3}$ . The velocity of liquid at Q is $V_{Q}$ and Velocity at P is $V_{P}$ (The cross-sectional area of the main is A)

Join BYJU'S Learning Program

In the figure shown a liquid is flowing through a tube at the rate of 0.1 m3/sec. The tube is branched into two semi circular tubes of cross sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross-section of the main tube (A) = 10-2 m2 and VP = 20 m/sec.):

The correct option is A 5 m/sec Flaw rate =0.1m3s Q=Q1+Q2 0.1=Q1+Q2 Q1=APVP Q2=AQVQ 0.1=APVP+AQVQ 0.1=A3×20+2A3VQ 0.1=A3×(20+2VQ) 0.01=0.013(20+2VQ) ⇒30=(20+2VQ) ⇒10=2VQ VQ=5ms

In the figure shown a liquid is flowing through a tube at the rate of 0.1 m³/sec. The tube is branched into two semi circular tubes of cross sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross-section of the main tube (A) = 10^-2 m² and V_P = 20 m/sec.):