One star has a temperature of 10,000 K and another star has a temperature of 5,000 K. Compared to the cooler star, how much more energy per second will the hotter star radiate from each square meter of its surface
A)16 times
B)2 times
C)$1 × 10^{16}$ times
D)625 times
E)25 times

Question

Quizplus · Accepted Answer

The energy radiated per second per square meter from a star's surface is given by the Stefan-Boltzmann law, which states that the energy radiated per unit area is proportional to the fourth power of the temperature (in Kelvin). Therefore, if the temperature doubles (from 5,000 K to 10,000 K), the energy radiated increases by $2^4 = 16$ times.

One Star Has a Temperature of 10,000 K and Another 1×10161 × 10^{16}1×1016

One Star Has a Temperature of 10,000 K and Another $1 × 10^{16}$