Question

Two pipes of same length and diameter 10 cm
and 20 cm are connected in series.coefficient
of friction is same for both pipes. The diameter
of an equivalent pipe is (1 marks)
Ans.
11.4 cm
15 cm
20 cm
None
& Ne
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Answer 1

Answer:

final answer is option b 15 cm

Answer 2

Given : Two pipes of same length and diameter 10 cm and 20 cm are connected in series .

coefficient of friction is same for both pipes.

To Find : The diameter of an equivalent pipe is

Solution:

Pipe 1

L₁ =  k

d₁  = 10 cm = 0.1 m

Pipe 2

L₂ =  k      as pipes of same length

d₂  = 20 cm = 0.2 m

Equivalent pipe

L  = k + k  = 2 k  ( connected in series )

d = ?

L/d⁵    = (L₁/d₁⁵)  + (L₂/d₂⁵)

=> 2k/d⁵  = (k/(0.1)⁵  +  k/(0.2)⁵

=> 2/d⁵   =  10⁵  + 10⁵/32

=> 2/d⁵ = 33 x 10⁵/32

=> d⁵  = 64/  33 x 10⁵

=> d  = 1.14 /10

d  = 0.114 m   or  11.4 cm

The diameter of an equivalent pipe is  11.4 cm

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