Question:
The temperature of a radiating body increases by $30\%$. Then the increase in the amount of radiation is
The temperature of a radiating body increases by $30\%$. Then the increase in the amount of radiation is
Updated On: Jun 7, 2024
- $185\%$
- $285\%$
- $325\%$
- $130\%$
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The Correct Option is A
Solution and Explanation
According to Stefan�s law, amount of radiations emitted
$E \propto T^{4}$,
$\therefore \frac{E'}{E}=\frac{\left[T+\left(\frac{30}{100}\right)T\right]^{4}}{T^{4}}$
$=\left[\frac{130}{100}\right]^{4}=\left(1.3\right)^{4}$
Percentage increase in $E$
$=\frac{E'-E}{E} \times 100$
$=\left(\frac{E'}{E}-1\right) \times 100$
$=\left(\left(1.3\right)^{4}-1\right)100$
$=185\%$
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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