A cold star emits the same amount of energy as a hot star.Group of answer choicesTrueFalse

The statement "A cold star emits the same amount of energy as a hot star" is False.

Explanation:

1. Blackbody Radiation: According to Wien's Law and the Stefan-Boltzmann Law, the energy emitted by a star is dependent on its temperature. Hotter stars emit more energy compared to colder stars.

2. Temperature and Luminosity: The luminosity $L$ of a star can be expressed using the equation: $L = 4 \pi R^2 \sigma T^4$ where $R$ is the radius, $\sigma$ is the Stefan-Boltzmann constant, and $T$ is the temperature in Kelvin. This indicates that as temperature increases, the energy emitted increases significantly (to the fourth power of the temperature).

Therefore, a cold star does not emit the same amount of energy as a hot star.