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Equation of Continuity

Water flows t...

Question

Water flows through a non - uniform tube of area of cross - section $A, B$ and $C$ whose values are $25, 15$ and $35 {cm}^{2}$ respectively. The ratio of the velocity of water at the sections $A, B$ and $C$ is

5 : 3 : 7

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7 : 3 : 5

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21 : 35 : 15

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1 : 1 : 1

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Solution

The correct option is C 21 : 35 : 15
$∵$ According to law of continuity
$A_{1} v_{1} = constant$
or $A_{A} V_{A} = A_{B} V_{B} = A_{C} V_{C}$
$\Rightarrow 25 V_{A} = 15 V_{B} = 35 V_{C}$
$\Rightarrow 5 V_{A} = 3 V_{B} = 7 V_{C}$
$\Rightarrow V_{A} : V_{B} : V_{C} = 21 : 35 : 15$

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Equation of Continuity

Standard XII Physics

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Water flows through a non - uniform tube of area of cross - section A, B and C whose values are 25,15 and 35cm2 respectively. The ratio of the velocity of water at the sections A, B and C is

The correct option is C 21 : 35 : 15∵ According to law of continuity A1v1=constant or AAVA=ABVB=ACVC ⇒25VA=15VB=35VC ⇒5VA=3VB=7VC ⇒VA:VB:VC=21:35:15

Water flows through a non - uniform tube of area of cross - section $A, B$ and $C$ whose values are $25, 15$ and $35 {cm}^{2}$ respectively. The ratio of the velocity of water at the sections $A, B$ and $C$ is

The correct option is C 21 : 35 : 15
$∵$ According to law of continuity
$A_{1} v_{1} = constant$
or $A_{A} V_{A} = A_{B} V_{B} = A_{C} V_{C}$
$\Rightarrow 25 V_{A} = 15 V_{B} = 35 V_{C}$
$\Rightarrow 5 V_{A} = 3 V_{B} = 7 V_{C}$
$\Rightarrow V_{A} : V_{B} : V_{C} = 21 : 35 : 15$