Water falls from a height of 200 m into a pool. Assuming no heat is lost, find the rise in temperature of the water. Take g = 10 m s⁻² and specific heat of water s = 4200 J kg⁻¹ K⁻¹.
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Question

Water falls from a height of 200 m into a pool. Assuming no heat is lost, find the rise in temperature of the water. Take g = 10 m s⁻² and specific heat of water s = 4200 J kg⁻¹ K⁻¹.

G1 Physics · Accepted Answer

Assuming the gravitational potential energy is completely converted into thermal energy: mgh = msΔT. Cancel m: ΔT = gh/s. Substitute: ΔT = (10×200)/4200 = 2000/4200 = 10/21 K ≈ 0.476 K. Therefore, ΔT ≈ 0.48 K. Correct option: D.