This question was previously asked in

VIZAG MT Mechanical: 2015 Official Paper

- N
- N
^{2} - N
^{3} - N
^{4}

Option 3 : N^{3}

Free

SSC JE ME Full Test 4

5500

200 Questions
200 Marks
120 Mins

** Explanation**:

**Power of the centrifugal pump is given by,**

\(P = \frac{{\rho Qg{H_m}}}{{1000}}\)

i.e. P ∝ Q × Hm

From modal law of the pump, \(\frac{{Q}}{{ND^3}}=C\)

i.e. P ∝ D3 × N × Hm

From modal law of the pump, \(\frac{{H}}{{N^2D^2}}= C\)

∴ P ∝ D3 × N × D2 × N 2

P ∝ D^{5 }× N^{3}

**∴ P ∝ N ^{3} **

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