The Jog falls in Karnataka state are nearly $20$ m high. $2000$ tonnes of water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized $(g = 10 m s^{- 2})$ :

6.67 \times 10^{5} W

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6.67 \times 10^{6} W

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6.67 \times 10^{8} W

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6.67 \times 10^{- 6} W

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Solution

The correct option is B $6.67 \times 10^{6} W$
Given,
Height of fall $h = 20 m$
Mass of water $m = 2000 t o n n e s = 2000000 k g$
Time t $= 1 m i n = 60 s$
We know,
Power $=$ work done per unit time.
Work done $= m g h$
$= 2000000 \times 10 \times 20$
$=$ 400000000
So,the power $= \frac{400000000}{60}$
$= 6.67 \times 10^{6} W$

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The Jog falls in Karnataka state are nearly 20 m high. 2000 tonnes of water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized (g=10ms−2):

The correct option is B 6.67×106WGiven,Height of fall h=20mMass of water m=2000tonnes=2000000kgTime t=1min=60sWe know,Power=work done per unit time.Work done=mgh =2000000×10×20 =400000000So,the power=40000000060 =6.67×106 W

The Jog falls in Karnataka state are nearly $20$ m high. $2000$ tonnes of water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized $(g = 10 m s^{- 2})$ :