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A black body is at a temperature 300 K. It emits energy at a rate, which is proportional to
The rate of energy emitted by a black body is governed by the Stefan-Boltzmann law, which states that the energy radiated per unit area is proportional to the fourth power of the temperature: E ∝ T⁴ So, for a black body at a temperature of 300 K, the energy emitted will be proportional to: 300⁴ ThusRead more
The rate of energy emitted by a black body is governed by the Stefan-Boltzmann law, which states that the energy radiated per unit area is proportional to the fourth power of the temperature:
E ∝ T⁴
So, for a black body at a temperature of 300 K, the energy emitted will be proportional to:
300⁴
Thus, the correct answer is: 300⁴
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Three objects coloured black, grey and white can withstand hostile conditions upto 2,800° C. Which object will glow brightest?
The Stefan-Boltzmann law states that the brightness of an object depends on its temperature and emissivity. Black objects have the highest emissivity, meaning they can emit and absorb radiation more efficiently than grey or white objects. Since all objects can withstand the same maximum temperatureRead more
The Stefan-Boltzmann law states that the brightness of an object depends on its temperature and emissivity. Black objects have the highest emissivity, meaning they can emit and absorb radiation more efficiently than grey or white objects.
Since all objects can withstand the same maximum temperature of 2,800°C, the black object will glow the brightest because it has the highest emissivity and thus radiates energy more efficiently.
So, the correct answer is: the black object
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Ratio of the amount of heat radiation, transmitted through the body to the amount of heat radiation incident on it, is known as
Transmittance describes the amount of heat radiation received by a material divided by that amount received. Transmittance is how much radiation can transmit through the surface of the body compared to its incidence on a body. In this context, the right term is: Transmittance
Transmittance describes the amount of heat radiation received by a material divided by that amount received.
Transmittance is how much radiation can transmit through the surface of the body compared to its incidence on a body.
In this context, the right term is: Transmittance
See lessThe sun emits a light with maximum wavelength 510 nm, while another star X emits a light with maximum wavelength of 350 nm. What is the ratio of surface temperature of the sun and the star X?
To determine the ratio of the surface temperatures of the Sun and star X, we use Wien's displacement law: λₘₐₓ * T = b where: - λₘₐₓ is the wavelength at which the emission is maximum, - T is the temperature of the body, - b is Wien's constant (b = 2.898 × 10⁻³ m K). Thus, from this law, the temperaRead more
To determine the ratio of the surface temperatures of the Sun and star X, we use Wien’s displacement law:
λₘₐₓ * T = b
where:
– λₘₐₓ is the wavelength at which the emission is maximum,
– T is the temperature of the body,
– b is Wien’s constant (b = 2.898 × 10⁻³ m K).
Thus, from this law, the temperature of each star can be derived as follows:
T = b / λₘₐₓ
For the Sun:
Tₛᵤₙ = (2.898 × 10⁻³) / (510 × 10⁻⁹) = 5688 K
For star X:
Tₓ= (2.898 × 10⁻³) / (350 × 10⁻⁹) = 8271 K
Now, the ratio of the surface temperatures is :
Tₛᵤₙ / Tₓ = 5688 / 8271 ≈ 0.688
Hence, the correct answer is: 0.68
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According to Wien’s displacement law
Wien's displacement law is such that the absolute temperature of the black body, T, varies inversely as the wavelength at which the intensity of the emitted radiation is maximum, λₘₐₓ . This relationship can be put in the form of an equation: λₘₐₓ × T = constant. In this case, an increase in temperaRead more
Wien’s displacement law is such that the absolute temperature of the black body, T, varies inversely as the wavelength at which the intensity of the emitted radiation is maximum, λₘₐₓ . This relationship can be put in the form of an equation: λₘₐₓ × T = constant. In this case, an increase in temperature leads to a decrease in the wavelength of radiation emitted at its maximum intensity and vice versa.
In other words, if you increase the temperature of an object, the peak wavelength of the radiation emitted by that object shifts to shorter wavelengths. For example, a hotter object emits radiation with a peak wavelength in the ultraviolet region, while a cooler object emits radiation with a peak wavelength in the infrared region.
Thus, the correct relationship is:
λₘₐₓ * T = constant
This means that for any given black body, regardless of the size or the material composition, the product of the wavelength at maximum value λₘₐₓ and temperature T is a constant.
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