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WBJEE · Physics · Thermal Properties of Matter

A horizontal fire hose with a nozzle of cross-sectional arca \(\frac{5}{\sqrt{21}} \times 10^{-3} \mathrm{m}^{2}\) delivers a cubic metre of water in 10 s. What will be the maximum possible increase in the temperature of water while it hits a rigid wall (neglecting the effect of gravity)?

  1. A \(1^{\circ} \mathrm{C}\)
  2. B \(0.1^{\circ} \mathrm{C}\)
  3. C \(10^{\circ} \mathrm{C}\)
  4. D \(0.01^{\circ} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1^{\circ} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Given, cross sectional area of nozzle \[ A=\frac{5}{\sqrt{21}} \times 10^{-3} \mathrm{m}^{2} \] and rate of heat transfer \(Q=\frac{1}{10}=10^{-1} \mathrm{m}^{3} / \mathrm{s}\) Heat transfer \(Q=A V\)…