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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoHeat TransferMedium2 min

PhysicsMediummultiple choice

Two spherical black bodies $A$ and $B$ , having radii $r_{A}$ and $r_{B} = 2 r_{A}$ , emit radiation with peak intensities at wavelength 400 nm and 800 nm respectively. If their temperature are $T_{A}$ and $T_{B}$ respectively on Kelvin scale, their emissive powers are $E_{A}$ and $E_{B}$ then:

Options:(select one or more)

Answer:

A, D

Solution:

Wien: $\frac{T _{A}}{T _{B}} = \frac{λ _{B}}{λ _{A}} = 2$ (A). Taking $E$ as the total power emitted, $\frac{E _{A}}{E _{B}} = (\frac{T _{A}}{T _{B}})^{4} (\frac{r _{A}}{r _{B}})^{2} = 16 \times \frac{1}{4} = 4$ (D).

Subject:PhysicsTopic:Heat & ThermoSubtopic:Heat Transfer

⏱ 2m

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