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Question

Physics Question on work, energy and power

Water falls from a 40 m high dam at the rate of 9 × 104 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of 100 W lamps, that can be lit, is :
(Take g = 10 ms-2)

A

25

B

50

C

100

D

18

Answer

50

Explanation

Solution

The correct answer is (B) : 50
Total gravitational PE of water per second
=mghT=\frac{mgh}{T}
=9×104×10×403600=104=\frac{9×10^4×10×40}{3600}=10^4 J/sec
50% of this energy can be converted into electrical energy so total electrical energy
=1042=5000W=\frac{10^4}{2}=5000 W
So total bulbs lit can be
=5000W100W=\frac{5000 W}{100 W}
= 50 bulbs