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7) Calculate the luminosity of a star that has a radius of 4.2Rsun and a temperature of 5Tsun

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Transcribed Image Text:7) Calculate the luminosity of a star that has a radius of 4.2Rsumn and a temperature of 5T su Sun

Expert Solution

Concept and Principle:

Stars generate an immense amount of energy through fusion. The luminosity of a star or a galaxy is defined as the energy radiated by that star or the galaxy.

In main sequence stars, the luminosity is directly proportional to the temperature of the star. Hotter stars are more luminous than colder stars.

The luminosity of a star can be defined in terms of the luminosity of the Sun. It is given by,

$\frac{L}{L_{Sun}} = {(\frac{R}{R_{Sun}})}^{2} {(\frac{T}{T_{Sun}})}^{4}$

Here L is the luminosity of the star, L_Sun is the luminosity of the Sun, R is the radius of the star, R_Sun is the radius of the Sun, T is the temperature of the star, and T_Sun is the temperature of the Sun.