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 answer is B

Using the law of conservation of energy

mc\(\bigtriangleup\theta\) = mgh

\(\bigtriangleup\theta\) = \(\frac{gh}{c} = \frac{10 \times 20}{450} = \frac{4}{9}\)ºC