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Question: A 1 k W motor supplies 1200 litre of water pre minute. If demand increases 1800 litre/minute, then w...

A 1 k W motor supplies 1200 litre of water pre minute. If demand increases 1800 litre/minute, then what should be the power of new motor used keeping other things in supply system unchanged?

A

27/8 Kw

B

9/4 Kw

C

27/4 kW

D

18/4 Kw

Answer

18/4 Kw

Explanation

Solution

p' = n3p

where n = 18001200=32\frac{1800}{1200} = \frac{3}{2}

p' = (32)3\left( \frac{3}{2} \right)^{3}. 1kW = 278\frac{27}{8} kW