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Question: Two stones each of mass 5kg fall on a wheel from a height of 10m. The wheel stirs 2kg water. The ris...

Two stones each of mass 5kg fall on a wheel from a height of 10m. The wheel stirs 2kg water. The rise in temperature of water would be

A

2.60 C

B

1.20 C

C

0.320 C

D

0.120 C

Answer

0.120 C

Explanation

Solution

For the given condition potential energy of the two masses will convert into heat and temperature of water will increase W = JQ ⇒ 2m × g × h = J(mw S ∆t)

2×5×10×10=4.2(2×103×Δt)2 \times 5 \times 10 \times 10 = 4.2(2 \times 10^{3} \times \Delta t)

Δt=10008.4×103=0.119oC=0.12oC\Delta t = \frac{1000}{8.4 \times 10^{3}} = 0.119^{o}C = 0.12^{o}C.