Question:
the emission rate of blackbody at $0^{\circ}C$ is R then, the rate of emission at $273^{\circ}C$ is
the emission rate of blackbody at $0^{\circ}C$ is R then, the rate of emission at $273^{\circ}C$ is
Updated On: Aug 15, 2022
- 2R
- 4R
- 8R
- 16R
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The Correct Option is D
Solution and Explanation
According Stefan's law, emission rate of a ideal blackbody
$E \propto T^{4}$
For $T =0^{\circ} C =273\, K$
$E_{1} \propto(273)^{4}$ ...(i)
For $T=273^{\circ} C =273+273=546\, K$
$E_{2} \propto(546)^{4}$ ...(ii)
From Eqs. (i) and (ii),
$\Rightarrow \frac{E_{1}}{E_{2}}=\left(\frac{273}{546}\right)^{4}$
$\Rightarrow \frac{R}{E_{2}}=\left(\frac{1}{2}\right)^{4}$
$\left(\because E_{1}=R\right)$
Hence, $E_{2}=16\, R$
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Concepts Used:
Radiation
Radiation is the energy or particles from a source that travels from one media to other. It travels through a medium after its emission from a source and is absorbed by matter.
Forms of Radiation:
- Particle Radiation includes the alpha (α), beta (β), and neutron radiations.
- Gravitational Radiation includes the radiation that takes the form of gravitational waves or as ripples in the curvature of space-time.
- Acoustic Radiation includes ultrasound, seismic and sound waves.
- Electromagnetic Radiation is inclusive of radio waves, gamma radiation (γ), x-rays, and visible light.
Types of Radiation:
- Ionizing Radiation - It carries more than 10 eV, that is enough to ionize atoms and molecules and break chemical bonds.
- Non-ionizing Radiation – It consists of alpha particles, beta particles, and gamma particles, whereas ionizing radiation consists of microwave radiation, infrared radiation and radio waves.
Read More: Types of Radiation