SATHEE: Properties Of Solids And Liquids Question 561

Properties Of Solids And Liquids Question 561

Question: How much bigger is the volume rate of flow at the end of the tube than at the entrance in cubic meters?

Options:

A) $9 \times 10^{- 5}$

B) $\frac{1}{3} \times 10^{- 5}$

C) $\frac{4}{9} \times 10^{- 5}$

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ρ_{1} v_{1} A_{1} = ρ_{2} v_{2} A_{2}$

$m =1500 kg/ m^{3} \times 0 .1m/s \times 4 {(cm)}^{2}$

$m s Δ T = 10000$

$1500 \times 0.1 \times 4 \times 10^{- 4} \times 1500 \times Δ T = 10000$

$Δ T = \frac{10000}{90} = \frac{1000}{9}^{\circ} C$

$ρ_{2} = \frac{ρ_{1}}{(1 + γ Δ T)} = \frac{1500}{(1 + 1 \times 10^{3} \times \frac{1000}{9})} = 1350 k g / m^{3}$

$ρ_{2} v_{2} A_{2} = ρ_{1} v_{1} A_{1}$

$\Rightarrow 1350 \times v_{2} = 1500 \times 0.1$

$v_{2} = 1 / 9 m / s$

$ \therefore

$ Volume rate of flow at the end of tube

$= A_{2} v_{2} = 4 \times 10^{- 4} \times \frac{1}{9}$

$= \frac{4}{9} \times 10^{- 4} m^{3} = \frac{40}{9} \times 10^{- 5} m^{3}$

Volume rate of flow at the entrance = $A_{1} v_{1}$

$= 0.1 \times 4 \times 10^{- 4} = 4 \times 10^{- 5} m^{3}$

Hence, difference of volume rate of flow at the two ends

$= (\frac{40}{9} - 4) \times 10^{- 5} = \frac{4}{9} \times 10^{- 5} m^{3}$

Properties Of Solids And Liquids Question 561

Question: How much bigger is the volume rate of flow at the end of the tube than at the entrance in cubic meters?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Properties Of Solids And Liquids Question 561

Question: How much bigger is the volume rate of flow at the end of the tube than at the entrance in cubic meters?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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