Water falls from a height of \( 60 \mathrm{~m} \) at the rate of \( 15 \mathrm{~kg} / \mathrm{s} \) to operate a turbine…
Water falls from a height of \( 60 \mathrm{~m} \) at the rate of \( 15 \mathrm{~kg} / \mathrm{s} \) to operate a turbine. The losses due to frictional forces are \( 10 \% \) of energy. How much power is generated by the turbine? (Take, \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) )
[NEET 2021]
\( 8.1 \mathrm{~kW} \)
\(\Rightarrow \text{ }P=15\frac{\text{ kg}}{\text{ s}}\times 10\times 60\)
\(\Rightarrow \text{ }P=9000\text{ W}\)
The friction losses,
\(\Rightarrow \text{ }L=9000\times \frac{10}{100}=900\text{ W}\)
The power generated by the turbine is equal to,
\(P=9000-900\)
\(\Rightarrow P=8100W\)
\(\Rightarrow P=8.1kW\)
The power generated by the turbine is 8.1 kW.
(NEW NCERT 11th Page No. 83)
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