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A solid cube and a solid sphere of identical material and equal masses are heated to the same temperature and left to cool in the same surroundings. Then,
(a) the cube will cool faster because of its sharp edges
(b) the cube will cool faster because it has a larger surface area
(c) the sphere will cool faster because it is smooth
(d) the sphere will cool faster because it has a larger surface area
A solid cube and a solid sphere of identical material and equal masses are heated to the same temperature and left to cool in the same surroundings. Then,
(a) the cube will cool faster because of its sharp edges
(b) the cube will cool faster because it has a larger surface area
(c) the sphere will cool faster because it is smooth
(d) the sphere will cool faster because it has a larger surface area
Answer is : (b) the cube will cool faster because it has a larger surface area
Area of cube is more than that of a sphere for same mass and density. Cube also have sharp edges that radiates more effectively than a flat surface. So, rate of cooling for cube is much rapid than sphere. Effect of sharp edges is prominent only at very high temperatures.