ISRO Mechanical & Aerospace 2015 - Question 67

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Topic: Heat Transfer

For a current wire of 20 mm diameter exposed to air (h=20 W/m^2K), maximum heat dissipation occurs when thickness of insulation (k=0.5 W/mK) is

  • A. 20 mm
  • B. 25 mm
  • C. 10 mm
  • D. none of the above

Answer: D. none of the above

Explanation: The critical radius of insulation for a cylinder is calculated as r_c = k / h = 0.5 / 20 = 0.025 m = 25 mm. Since the wire diameter is 20 mm, its radius is 10 mm. Therefore, the required thickness of insulation to reach the critical radius is 25 mm - 10 mm = 15 mm. This value is not listed in the options.

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