A metal rod at a temperature of 150°C, radiates energy at a rate of 20 W. If its temperature is increased to 300°C, then it will radiate at the rate of
1
Poll Results
No votes. Be the first one to vote.
Participate in Poll, Choose Your Answer.
Radiate refers to the process by which energy is emitted in the form of waves or particles. This can occur through electromagnetic radiation such as light, heat, or radio waves. Objects radiate energy depending on their temperature and properties, often following physical laws like Stefan-Boltzmann or Wien’s displacement law.
Class 11 Physics Chapter 10 Thermal Properties of Matter focuses on understanding heat transfer processes such as conduction, convection and radiation. It covers concepts like specific heat capacity, thermal expansion and Stefan-Boltzmann law. Applications of these principles in real-world phenomena and their importance in various scientific fields are also discussed for CBSE Exam 2024-25.
According to the Stefan-Boltzmann law, the radiated energy of a black body is proportional to the fourth power of its temperature:
E ∝ T⁴
Let E₁ be the energy radiated at temperature T₁ = 150°C = 150 + 273 = 423 K, and let E₂ be the energy radiated at T₂ = 300°C = 300 + 273 = 573 K.
We know that:
E₁ / E₂ = (T₁ / T₂)⁴
Substitute the values:
20 / E₂ = (423 / 573)⁴
Solving for E₂:
E₂ = 20 × (573 / 423)⁴ ≈ 37.2 W
The correct answer is 37.2 W.
Click here for more:
https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/