# Does luminosity increase with radius?

## Does luminosity increase with radius?

The Luminosity of a star is proportional to the 4 th power of its temperature and square of its radius.

## How does luminosity relate to temperature?

” The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared.” Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.

How do you find luminosity of a star?

If they know the star’s brightness and the distance to the star, they can calculate the star’s luminosity: [luminosity = brightness x 12.57 x (distance)2]. Luminosity is also related to a star’s size. The larger a star is, the more energy it puts out and the more luminous it is.

### Is the radius of a star increases How do you think its luminosity might change?

As the size of a star increases, luminosity increases. If you think about it, a larger star has more surface area. That increased surface area allows more light and energy to be given off. Temperature also affects a star’s luminosity.

### How does radius affect luminosity?

Its radius is thought to be around 1400 times than of our sun, and its luminosity 270,000 greater than our sun. Also, if a star has the same radius as the sun but a higher surface temperature, the hotter star exceeds the sun in luminosity.

How does luminosity change with mass?

The luminosity and temperature of a main-sequence star are set by its mass. More massive means brighter and hotter. A ten solar mass star has about ten times the sun’s supply of nuclear energy.

## How does luminosity change with distance?

The intensity or brightness of light as a function of the distance from the light source follows an inverse square relationship. Notice that as the distance increases, the light must spread out over a larger surface and the surface brightness decreases in accordance with a “one over r squared” relationship.

## What affects the luminosity of a star?

How does mass of a star affect its luminosity?

Since higher mass means a larger gravitational force, higher mass must also mean that higher pressure is required to maintain equilibrium. If you increase the pressure inside a star, the temperature will also increase. The luminosity strongly increases for stars with masses greater than about 1.3 solar masses.