Work Energy and Power - Result Question 40

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43. Water falls from a height of $60 m$ at the rate of $15 kg / s$ to operate a turbine. The losses due to frictional force are $10 %$ of energy. How much power is generated by the turbine? [2008] ( $g=10 m / s^{2}$ )

======= ####43. Water falls from a height of $60 m$ at the rate of $15 kg / s$ to operate a turbine. The losses due to frictional force are $10 %$ of energy. How much power is generated by the turbine? [2008] ( $g=10 m / s^{2}$ )

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/work-energy-and-power/work-energy-and-power—result-question-40.md (a) $8.1 kW$

(b) $10.2 kW$

(c) $12.3 kW$

(d) $7.0 kW$

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Answer:

Correct Answer: 43. (a)

Solution:

  1. (a) Given, $h=60 m, g=10 ms^{-2}$,

Rate of flow of water $=15 kg / s$

$\therefore$ Power of the falling water

$=15 kgs^{-1} \times 10 ms^{-2} \times 60 m=9000$ watt

Loss in energy due to friction

$=9000 \times \frac{10}{100}=900$ watt.

$\therefore$ Power generated by the turbine

$=(9000-900)$ watt $=8100$ watt $=8.1 kW$