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A piece of substance of specific heat capacity ... - JAMB Physics 2021 Question

A piece of substance of specific heat capacity 450Jkg\(^{-1}\)k\(^{1}\) falls through a vertical distance of 20m from rest. Calculate the rise in temperature of the substance on hitting the ground when all its energies are converted into heat. [g = 10ms\(^{-2}\)]

A

\(\frac{2}{9}\)ºC

B

\(\frac{4}{9}\)ºC

C

\(\frac{9}{2}\)ºC

D

\(\frac{9}{4}\)ºC

correct option: b

According to the law of conservation of energy, energy states that energy can neither be created nor destroyed - only converted from one form of energy to another.

mc\(\bigtriangleup\theta\) = mgh

\(\bigtriangleup\theta\) = \(\frac{gh}{c}

= \frac{10 \times 20}{450}

= \frac{4}{9}\)ºC

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