Question

two water pipes of diameter 2 cm and 4 cm are connected with the main supply line the velocity of flow of water in the pipe of 2 cm diameter is

Answer 1

Answer : The velocity of flow of water in pipe x is 4 times that of in pipe y.

Explanation :

Let there are two pipes x and y of diameter 2 cm and 4 cm respectively.

The radius of x, $r_x=\dfrac{d_x}{2}=0.01\ m$

The radius of y, $r_y=\dfrac{d_y}{2}=0.02\ m$

According to the equation of continuity :

$A_xv_x=A_yv_y$

Where,

$v_x$ and $v_y$ are the velocity of water in pipe x and pipe y respectively.

$\pi(0.01\ m)^2}\times v_x=\pi(0.02\ m)^2}\times v_y$

$v_x=\dfrac{(0.02\ m)^2}{(0.01\ m)^2}\ v_y$

$v_x=4\ v_y$

So, the velocity of flow of water in the pipe of 2 cm diameter (i.e. pipe x ) is four times that of in pipe y.

Answer 2

Answer:

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