Physics · Heat transfer: conduction, convection and radiation

A sphere, a cube and a thin circular disc all made of the same material, have sa

A sphere, a cube and a thin circular disc all made of the same material, have same mass. Their initial temperature is \( 3 \times 10^{3}^{\circ} \mathrm{C} . \) The body which cools rapidly is :

  • A. sphere
  • B. cube
  • C. both sphere and cube
  • D. circular plate

Step-by-step solution

The cooling rate by radiation and convection is proportional to the surface area. For a given mass and material, the volume is constant. Among a sphere, cube, and thin circular disc of equal volume, the thin disc has the largest surface area, allowing it to lose heat fastest and cool most rapidly.
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