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A black body is at temperature 700o C. It radiates thermal energy at the rate which is proportional to
- a)(700)4
- b)(427)4
- c)(973)3
- d)(973)4
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A black body is at temperature 700o C. It radiates thermal energy at t...
Change in temperature in kelvin....
So, (700+273) = 973
So, (973)^4...is correct answer.... Because,
r directly proportional to T^4....
$$Hope it's help.... $$
So, (700+273) = 973
So, (973)^4...is correct answer.... Because,
r directly proportional to T^4....
$$Hope it's help.... $$
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Community Answer
A black body is at temperature 700o C. It radiates thermal energy at t...
Explanation:
Black Body Radiation:
A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It also emits thermal radiation at a rate determined by its temperature.
Stefan-Boltzmann Law:
The rate at which a black body radiates thermal energy is given by the Stefan-Boltzmann law, which states that the power radiated per unit area is proportional to the fourth power of the absolute temperature of the body.
Mathematical Expression:
Mathematically, the rate at which a black body radiates thermal energy is given by the formula:
P = σT^4
where P is the power radiated per unit area, σ is the Stefan-Boltzmann constant, and T is the temperature in Kelvin.
Temperature Conversion:
To convert the temperature of the black body from Celsius to Kelvin, we use the formula:
T(K) = T(°C) + 273.15
Given that the temperature of the black body is 700°C, we convert it to Kelvin:
T = 700 + 273.15 = 973.15 K
Correct Answer Justification:
Comparing the given options:
a) (700)^4 = 24010000000
b) (427)^4 = 38966005683
c) (973)^3 = 914620657
d) (973)^4 = 843044635929
The correct answer is option 'D' because the rate at which the black body radiates thermal energy is proportional to the fourth power of the temperature, which is represented by (973)^4.
Black Body Radiation:
A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It also emits thermal radiation at a rate determined by its temperature.
Stefan-Boltzmann Law:
The rate at which a black body radiates thermal energy is given by the Stefan-Boltzmann law, which states that the power radiated per unit area is proportional to the fourth power of the absolute temperature of the body.
Mathematical Expression:
Mathematically, the rate at which a black body radiates thermal energy is given by the formula:
P = σT^4
where P is the power radiated per unit area, σ is the Stefan-Boltzmann constant, and T is the temperature in Kelvin.
Temperature Conversion:
To convert the temperature of the black body from Celsius to Kelvin, we use the formula:
T(K) = T(°C) + 273.15
Given that the temperature of the black body is 700°C, we convert it to Kelvin:
T = 700 + 273.15 = 973.15 K
Correct Answer Justification:
Comparing the given options:
a) (700)^4 = 24010000000
b) (427)^4 = 38966005683
c) (973)^3 = 914620657
d) (973)^4 = 843044635929
The correct answer is option 'D' because the rate at which the black body radiates thermal energy is proportional to the fourth power of the temperature, which is represented by (973)^4.
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A black body is at temperature 700o C. It radiates thermal energy at the rate which is proportional toa)(700)4b)(427)4c)(973)3d)(973)4Correct answer is option 'D'. Can you explain this answer?
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