A solid cube is at temperature t kelvin if this cube is cut into two equal halves then the ratio of energy emitted by per second by complete cube to that of half cube will be
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The ratio of energy emitted by per second by complete cube to that of half cube will be 3:4
We know that for a sphere of radius R, and surface area A at temperature T K, its power is represented as
P = eσAT⁴,
A = 4ПR²
When the sphere is cut into half,
new area (A') becomes half of the previous A along with one circular area.
So, A' = (1/2)(4ПR²) + ПR² [Area of a circle is ПR²]
A' = 3ПR²
We need to calculate A'/A.
A'/A = (3ПR²)/(4ПR²)
A'/A = 3/4
Thus the ratio is 3:4.
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