A) \[0.23{}^\circ C\]
B) \[1.16{}^\circ C\]
C) \[0.96{}^\circ C\]
D) \[1.02{}^\circ C\]
Correct Answer: B
Solution :
Key Idea: Potential energy = increase in heat of water. From law of conservation of energy, we know that energy can neither be created nor destroyed, it remains conserved. When water falls from a height, it has potential energy \[(mgh),\] this is used in heating up the water \[(mc\Delta \theta ).\] Hence, we have \[mgh=mc\Delta \theta \] \[\Rightarrow \] \[\Delta \theta =\frac{gh}{c}\] \[=\frac{9.8\times 500}{4.2\times {{10}^{3}}}=1.16{{\,}^{o}}C\]
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