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KVPY2012PhysicsThermal Properties of Matter

The total energy of a black body radiation source is collected for five minutes and used to heat water. The temperature of the water increases from 10.0^ C to 11.0^ C . The absolute temperature of the black body is doubled and its surface area halved and the experiment repeated for the same time. Which of the following statements would be most nearly correct?

Options

  1. AThe temperature of the water would increase from 10.0^ C to a final temperature of 12^ C
  2. BThe temperature of the water would increase from 10.0^ C to a final temperature of 18^ C
  3. CThe temperature of the water would increase from 10.0^ C to a final temperature of 14^ C
  4. DThe iemperuiure of the wuier would increases from 10.0^ C io u finul iemperaiure of 11^ C

Correct answer

B. The temperature of the water would increase from 10.0^ C to a final temperature of 18^ C

Step-by-step solution

Energy radiated, U AT ⁴ t array l U ₂ U ₁ = A / 2(2 ~T )⁴ t AT ⁴ t =8 U ₂=8 U ₁ mS t ₂=8 mS t ₁ t ₂=8 t ₁ array

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