If temperature of a black body increases from 7°C to 287°C, then the rate of energy radiation increases by
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Radiation is the transfer of energy through electromagnetic waves or particles without the need for a medium. It includes types like light, heat, and X-rays. Radiation can travel through a vacuum, unlike conduction or convection. It plays a vital role in energy transfer, climate processes, and various technological applications.
Class 11 Physics Chapter 10 Thermal Properties of Matter explains the concepts of temperature heat and specific heat capacity. It covers thermal expansion calorimetry and the transfer of heat through conduction and convection. The chapter also discusses the laws of thermodynamics and the behavior of gases in different temperature and pressure conditions.
The Stefan-Boltzmann law can be used to calculate the rate of increase in energy radiation due to an increase in the temperature of a black body. This law states that the rate of energy radiation is proportional to the fourth power of the temperature:
E ∝ T⁴
Given:
– Initial temperature T₁ = 7°C = 7 + 273 = 280 K
– Final temperature T₂ = 287°C = 287 + 273 = 560 K
Ratio of the energies radiated:
E₂ / E₁ = (T₂ / T₁)⁴
Now calculating the ratio:
E₂ / E₁ = (560 / 280)⁴ = 16
Therefore, the rate of energy radiation increases by a factor of: 16
The Stefan-Boltzmann law can be used to calculate the rate of increase in energy radiation due to an increase in the temperature of a black body. This law states that the rate of energy radiation is proportional to the fourth power of the temperature:
E ∝ T⁴
Given:
– Initial temperature T₁ = 7°C = 7 + 273 = 280 K
– Final temperature T₂ = 287°C = 287 + 273 = 560 K
Ratio of the energies radiated:
E₂ / E₁ = (T₂ / T₁)⁴
Now calculating the ratio:
E₂ / E₁ = (560 / 280)⁴ = 16
Therefore, the rate of energy radiation increases by a factor of: 16
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