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A piece of substance of specific head capacity ... - JAMB Physics 1999 Question

A piece of substance of specific head capacity 450JKg-1K-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
2/9°C
B
4/9°C
C
9/4°C
D
9/2°C
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Correct Option: B

Energy at the height = mgh

This energy is converted to heat energy - mcΔt

∴ From the principle of energy conversion,

mcΔt = mgh

m x 450 x Δt = m x 10 x 20

∴ Δt = m x 10 x 20/(m x 450)

= 200/450

= 4/9°C

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