(C) The potential energy of the water at the top is converted into heat energy at the bottom.$mgh = mc\Delta \theta$Here,$m$ is the mass of water,$g =

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(C) The potential energy of the water at the top is converted into heat energy at the bottom.$mgh = mc\Delta \theta$Here,$m$ is the mass of water,$g = 9.8 \ m/s^2$,$h = 500 \ m$,and $c = 4200 \ J/kg \cdot ^\circ C$.Canceling $m$ from both sides,we get $\Delta \theta = \frac{gh}{c}$.Substituting the values: $\Delta \theta = \frac{9.8 \times 500}{4200} = \frac{4900}{4200} = \frac{49}{42} = \frac{7}{6} \approx 1.166 \ ^\circ C$.Rounding to the nearest option,the rise in temperature is $1.16 \ ^\circ C$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Mix Examples-Thermometry, Thermal Expansion and Calorimetry

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Water falls from a height of $500 \ m$. What is the rise in temperature of water at the bottom if the whole energy remains in the water? (Assume $g = 9.8 \ m/s^2$ and specific heat capacity of water $c = 4200 \ J/kg \cdot ^\circ C$)

A
$0.96$
B
$1.02$
C
$1.16$
D
$0.23$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Mix Examples-Thermometry, Thermal Expansion and Calorimetry

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Water falls from a height of $500 \ m$. What is the rise in temperature of water at the bottom if the whole energy remains in the water? (Assume $g = 9.8 \ m/s^2$ and specific heat capacity of water $c = 4200 \ J/kg \cdot ^\circ C$)

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Out of the following,in which vessel will the temperature of the solution be higher after the salt is completely dissolved?

The height of a waterfall is $50 \ m$. If $g = 9.8 \ m/s^2$,the difference between the temperature at the top and the bottom of the waterfall is: (in $^{\circ} C$)

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