ISRO Mechanical & Aerospace 2007 - Question 21

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Topic: Fluid Machinery

A centrifugal pump with peripheral speed 'V' was selected for a total lift of 100 m. Actually pump was to be operated for a total lift of 400m. The peripheral speed should actually be (other conditions remaining same)

  • A. 2V
  • B. 4V
  • C. 8V
  • D. 1V

Answer: A. 2V

Explanation: Given $V_{1}=V$, $H_{1}=100m$, $H_{2}=400m$. We know $\frac{H_{1}}{N_{1}^{2}}=\frac{H_{2}}{N_{2}^{2}}$ and peripheral speed $V \propto N$. Therefore, $\frac{H_1}{V_1^2} = \frac{H_2}{V_2^2} \implies \frac{100}{V^{2}}=\frac{400}{V_{2}^{2}} \implies V_{2}^{2}=4V^{2} \implies V_{2}=2V$.

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