Water flowing from a hose pipe fills a $15$ litre container in one minute. The speed of water from the free opening of radius $1 c m$ is ( in $m s^{- 1}$ ):

2.5

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\frac{π}{2.5}

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\frac{2.5}{π}

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5 π

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Solution

The correct option is B $\frac{2.5}{π}$
The rate of flow of water is given by
$Q = A v$
where $A$ is the area of water pipe
$⟹ v = \frac{Q}{A} = \frac{0.015 / 60}{π (0.01)^{2}}$
$= \frac{2.5}{π}$

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Water flowing from a hose pipe fills a 15 litre container in one minute. The speed of water from the free opening of radius 1cm is ( in ms−1):

The correct option is B 2.5πThe rate of flow of water is given by Q=Avwhere A is the area of water pipe⟹v=QA=0.015/60π(0.01)2=2.5π

Water flowing from a hose pipe fills a $15$ litre container in one minute. The speed of water from the free opening of radius $1 c m$ is ( in $m s^{- 1}$ ):

The correct option is B $\frac{2.5}{π}$
The rate of flow of water is given by
$Q = A v$
where $A$ is the area of water pipe
$⟹ v = \frac{Q}{A} = \frac{0.015 / 60}{π (0.01)^{2}}$
$= \frac{2.5}{π}$