Water is flowing through a capillary tube at the rate of 20 - 10-6m3s-1 - If an identical tube is connected in series- the rate of flow of water in m3s-1 is -

The correct option is C 10 × 10^ 6 In poiseuillis eqn we see that, Qα1L Q=KL #160;So,If an identical tube is connected in series i.e.,the leng ...

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Standard XII

Mathematics

General Term of Binomial Expansion

Water is flow...

Question

Water is flowing through a capillary tube at the rate of $20 \times 10^{- 6} m^{3} s^{- 1}$ . If an identical tube is connected in series, the rate of flow of water in $m^{3} s^{- 1}$ is :

20 \times 10^{- 6}

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40 \times 10^{- 6}

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0

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10 \times 10^{- 6}

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Solution

The correct option is C $10 \times 10^{- 6}$
In poiseuillis eqn we see that,
$Q α \frac{1}{L}$
$Q = \frac{K}{L}$
So,
If an identical tube is connected in series i.e.,
the length is double as the tubes are identical so, from the relation we see that $Q$ will be halved
So, new $Q$ after adding an identical tube $= 10 \times 10^{- 6} m^{3} / s$

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Water is flowing through a capillary tube at the rate of 20×10−6m3s−1 . If an identical tube is connected in series, the rate of flow of water in m3s−1 is :

The correct option is C 10×10−6In poiseuillis eqn we see that,Qα1LQ=KL So,If an identical tube is connected in series i.e.,the length is double as the tubes are identical so, from the relation we see that Q will be halvedSo, new Q after adding an identical tube=10×10−6m3/s

Water is flowing through a capillary tube at the rate of $20 \times 10^{- 6} m^{3} s^{- 1}$ . If an identical tube is connected in series, the rate of flow of water in $m^{3} s^{- 1}$ is :