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Standard XII

Physics

Streamline Flow

An ideal flui...

Question

An ideal fluid is flowing in a tube of varying cross-section. At some point the radius of the tube is $r$ and the velocity of flow is $v$ . The velocity of flow at another point, where the radius is $r / 2$ , is

\frac{v}{4}

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\frac{v}{2}

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2 v

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4 v

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Solution

The correct option is C $4 v$
Let the velocity $g$ flow at section (2) by $v_{0}$ Now
applying equation of continuity
i.e., $A_{1} V_{1} = A_{2} V_{2}$
$π r^{2} v = π {(\frac{r}{2})}^{2} v_{0}$
$\Rightarrow$ $r^{2} v = \frac{r^{2}}{v} v_{0}$
$\Rightarrow$ $v_{0} = 4 v$

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An ideal fluid is flowing in a tube of varying cross-section. At some point the radius of the tube is r and the velocity of flow is v. The velocity of flow at another point, where the radius is r/2, is

The correct option is C 4vLet the velocity g flow at section (2) by v0 Nowapplying equation of continuityi.e., A1V1=A2V2πr2v=π(r2)2v0⇒ r2v=r2vv0⇒ v0=4v

An ideal fluid is flowing in a tube of varying cross-section. At some point the radius of the tube is $r$ and the velocity of flow is $v$ . The velocity of flow at another point, where the radius is $r / 2$ , is

The correct option is C $4 v$
Let the velocity $g$ flow at section (2) by $v_{0}$ Now
applying equation of continuity
i.e., $A_{1} V_{1} = A_{2} V_{2}$
$π r^{2} v = π {(\frac{r}{2})}^{2} v_{0}$
$\Rightarrow$ $r^{2} v = \frac{r^{2}}{v} v_{0}$
$\Rightarrow$ $v_{0} = 4 v$