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Q.

Calculate the difference in temperature between the water at the top and bottom of a waterfall 25m high assuming that 15% of the energy of fall is spent in heating the water J=4.18JCal1

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a

0.0088C

b

0.8C

c

88.8C

d

8.8C

answer is B.

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Detailed Solution

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Potential energy available from ‘m’ kg of water=mgh J.

Where h=height of water fall in meters and 15percent of this converted into heat. 
Therefore,  (15/100) mgh is converted into heat:
Let θ be the raise in temperature
Therefore, heat taken up by ‘m’ kg of water
=msΔθ Cal
msΔθ×4.18J
Where s =specific heat of water=1000cal/kg0c
Therefore, 15/100 mgh=msΔθ×4.18
Or Δθ=15×9.8×251000×4.18=0.00880C
 

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