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

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Solution

The correct option is B

For the given condition potential energy of the two masses will convert into heat and temperature of water will increase $W = J Q \Rightarrow 2 m \times g \times h = J (m_{w} S Δ t) \Rightarrow 2 \times 5 \times 10 \times 10 = 4.2 (2 \times 10^{3} \times Δ t)$

$∴ Δ t = \frac{1000}{8.4 \times 10^{3}} = {0.119}^{\circ} = {0.12}^{\circ} C$

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The correct option is B 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 SΔt)⇒2×5×10×10=4.2(2×103×Δt) ∴Δt=10008.4×103=0.119∘=0.12∘C