The height of victoria falls


The height of victoria falls is $63 \mathrm{~m}$. What is the difference in temperature of water at the top and at the bottom of fall?

[Given $1 \mathrm{cal}=4.2 \mathrm{~J}$ and specific heat of water $\left.=1 \mathrm{cal} \mathrm{g}^{-1} \mathrm{C}^{-1}\right]$

  1. $0.147^{\circ} \mathrm{C}$

  2. $14.76^{\circ} \mathrm{C}$

  3. $1.476^{\circ}$

  4. $0.014^{\circ} \mathrm{C}$

Correct Option: 1


Change in P.E. = Heat energy

$\mathrm{mgh}=\mathrm{mS} \Delta \mathrm{T}$

$\Delta \mathrm{T}=\frac{\mathrm{gh}}{\mathrm{S}}$

$=\frac{10 \times 63}{4200 \mathrm{~J} / \mathrm{kgC}}$

$=0.147^{\circ} \mathrm{C}$

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