A compound pipe of diameter d₁, d₂ and d₃ having lengths $${l_1},\,{l_2}$$ and $${l_3}$$ is to be replaced by an equivalent pipe of uniform diameter d and of the same length $$l$$ as that of the compound pipe. The size of the equivalent pipe is given by

A) $$\frac{l}{{{{\text{d}}^2}}} = \frac{{{l_1}}}{{{\text{d}}_1^2}} + \frac{{{l_2}}}{{{\text{d}}_2^2}} + \frac{{{l_3}}}{{{\text{d}}_3^2}}$$ B) $$\frac{l}{{{{\text{d}}^3}}} = \frac{{{l_1}}}{{{\text{d}}_1^3}} + \frac{{{l_2}}}{{{\text{d}}_2^3}} + \frac{{{l_3}}}{{{\text{d}}_3^3}}$$ C) $$\frac{l}{{{{\text{d}}^4}}} = \frac{{{l_1}}}{{{\text{d}}_1^4}} + \frac{{{l_2}}}{{{\text{d}}_2^4}} + \frac{{{l_3}}}{{{\text{d}}_3^4}}$$ D) $$\frac{l}{{{{\text{d}}^5}}} = \frac{{{l_1}}}{{{\text{d}}_1^5}} + \frac{{{l_2}}}{{{\text{d}}_2^5}} + \frac{{{l_3}}}{{{\text{d}}_3^5}}$$

Answer & Solution

Correct Answer: Option D

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Dr. Akash 3 years ago

Explain please

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A compound pipe of diameter d1 d2 and d3 having lengths...

A compound pipe of diameter d1, d2 and d3 having lengths $${l_1},\,{l_2}$$ and $${l_3}$$ is to be replaced by an equivalent pipe of uniform diameter d and of the same length $$l$$ as that of the compound pipe. The size of the equivalent pipe is given by

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A compound pipe of diameter d₁, d₂ and d₃ having lengths $${l_1},\,{l_2}$$ and $${l_3}$$ is to be replaced by an equivalent pipe of uniform diameter d and of the same length $$l$$ as that of the compound pipe. The size of the equivalent pipe is given by