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Question

Fire is caught at height of 125 m from the fire brigade. To extinguish the fire, water is coming out from the pipe of cross section 6.4 cm with rate 950 litre/ min. Find out minimum velocity of water existing from fire brigade tank. $$(g = 10m/s^2)$$:


A
5 m/s
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B
10 m/s
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C
25 m/s
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D
50 m/s
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Solution

The correct option is B 5 m/s
Rate of flow = Area of cross section $$\times$$ velocity = which is same everywhere

Given$$:$$

R (Rate of flow) $$ =\quad 950\dfrac { L }{ min } =\quad 950\dfrac { { 10 }^{ -3 } { m }^{ 3 } }{ 60 sec } =\dfrac { 95 }{ 6 } \times { 10 }^{ -3 } \dfrac { { m }^{ 3 } }{ s } $$

Radius of pipe $$= \dfrac { 6.4 }{ 2 } cm = 0.032m $$

A (Area of cross section) $$= \pi \times { (0.032) }^{ 2 }\quad { m }^{ 2 } $$

We Know,

R = A $$\times$$ V

V (Velocity) $$= \dfrac { R }{ A } $$

$$ = 4.92 m/s = 5 m/s (approx.)$$

Physics

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