Question

LUMINOSITY OF RIGEL STAR IN ORION CONSTELLATION IS 17000 TIMES THAT OF OUR SUN. IF THE SURFACE TEMPERATURE OF SUN IS 6000 K, THEN THE TEMPERATURE OF THE STAR IS WHAT

Answer 1

Given :

Luminosity of Rigel star = 17,000 * Luminosity of Sun

Surface temperature of Sun = 6000 Kelvin

Surface temperature of Rigel = ?

Solution:

Luminosity is directly proportional to 4th power of surface temperature.

i.e, L ∝ T⁴

So, Luminosity of star/Luminosity of Sun = (Surface temperature of star/Surface temperature of Sun)⁴

$\sqrt[4]{17000}= \frac{T_{star}}{6000}$

11.42 * 6000 = Surface temperature of star

∴Surface temperature of Rigel star is 68520 Kelvin.

Answer 2

Explanation:

68520 K is the surface temperature of the star.