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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Work, Power and Energy

NEET 2008 · Physics · Work, Power and Energy

Water falls from a height of 60 ~m at the rate of 15 ~kg / s to...

Water falls from a height of 60 m60 \mathrm{~m} at the rate of 15 kg/s15 \mathrm{~kg} / \mathrm{s} to operate a turbine. The losses due to frictional forces are 10%10 \% of energy. How much power is generated by the turbine? (g=10 m/s2)\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)

Options

  1. A8.1 kW8.1 \mathrm{~kW}
  2. B10.2 kW10.2 \mathrm{~kW}
  3. C12.3 kW12.3 \mathrm{~kW}
  4. D7.0 kW7.0 \mathrm{~kW}

Correct answer

A. 8.1 kW8.1 \mathrm{~kW}

Step-by-step solution

Power generated by the turbine is, Pgene rated =Pinput ×90100=Mght×90100\begin{aligned} P_{\text{gene rated }} & =P_{\text{input }} \times \frac{90}{100} \\ & =\frac{M g h}{t} \times \frac{90}{100} \end{aligned} Putting the given values Mt=15kg/s,g=10m/s2,h=60mPgenerated =(15×10×60)×90100=8.1kW\begin{aligned} & \frac{M}{t}=15 \mathrm{ kg} / \mathrm{s}, g=10 \mathrm{ m} / \mathrm{s}^2, h=60 \mathrm{ m} \\ & P_{\text{generated }}=(15 \times 10 \times 60) \times \frac{90}{100} \\ &=8.1 \mathrm{ kW} \end{aligned}
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