EasyPhysicsHigh School (11–12)Heat & Thermodynamics › Heat TransferNumerical

The light of a star is strongest at a wavelength of 410 nm.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

The light of a star is strongest at a wavelength of $410\ \text{nm}$ . Find its surface temperature. How many times as much power does each square metre of it radiate as each square metre of the Sun ( $5780\ \text{K}$ )?

Need a reminder? The key ideaShow

Radiation: $P = e\sigma AT^4$ , net $e\sigma A(T^4 - T_0^4)$ , with $\sigma = 5.67 \times 10^{-8}\ \text{W m}^{-2}\text{K}^{-4}$ and $T$ in kelvin. Wien: $\lambda_mT = 2.90 \times 10^{-3}\ \text{m K}$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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← A person has 1.6 m² of skin at 33 °C and sits in a room whose walls are at 18 °C.A red giant star radiates a power of 2.0 × 10²⁹ W from a surface at 3500 K. →

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