If (60 % ) of the kinetic energy of water falling from (210 ~m ) high water fall is converted into heat. The raise in temperature of water at the bottom of the falls is nearly (specific heat of water (=4.2 10^3 ~J ~kg ⁻¹ ~K ⁻¹ ))

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Correct answer: B. (0.3^ C )

Given, (h=210 ~m ) Specific heat of water, (c=4.2 10^3 ~J ~kg ⁻¹ ~K ⁻¹ ) When water falls on the surface of earth, then its potential energy is converted into kinetic energy. ( ) Kinetic energy (= ) Potential energy ( KE =m g h )...(i) According to question, Heat produced (=60 % ) of KE ( aligned m c T & = 60 100 m g h [from Eq. (i)] T & = 0.6 g h c = 0.6 10 210 4.2 10^3 =0.3^ C aligned )

If (60 % ) of the kinetic energy of water falling from (210 ~m ) high water fall is converted into heat. The raise in temperature of water at the bottom of the falls is nearly (specific heat of water (=4.2 10^3 ~J ~kg ⁻¹ ~K ⁻¹ ))

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