The average distance of sun is 1.496 ×10^11m from the earth.Express the distance in light year and par second.
c = 3*10*8 m/s
seconds/yr
=3600 s/h * 24h/day * 365days/yr
To express the distance from the Earth to the Sun in light years and parsecs, we need to know the conversion factors.
To get the distance in light years, we use the fact that light travels at a constant speed of approximately 299,792,458 meters per second.
To calculate the distance in light years, we divide the distance in meters by the speed of light:
Distance in light years = ( 1.496 × 10^11 meters ) / ( 299,792,458 meters/second )
Calculating this, we find:
Distance in light years = 0.000015812 light years
Now, let's calculate the distance in parsecs. A parsec is defined as the distance at which one astronomical unit (AU) subtends an angle of one arcsecond. An astronomical unit is the average distance from the Earth to the Sun, which we already know as 1.496 × 10^11 meters.
To calculate the distance in parsecs, we use the formula:
Distance in parsecs = (Distance in meters) / (1 AU in meters) / (1 arcsecond in degrees) / (3600 degrees in 1 hour) / (1 parsec in AU)
Since 1 parsec is approximately 3.08568 × 10^16 meters, and there are 3600 arcseconds in 1 degree, and there are 360 degrees in 1 hour, we can substitute these values into the formula:
Distance in parsecs = (1.496 × 10^11 meters) / (1.496 × 10^11 meters) / (1/3600) / (1/360) / (3.08568 × 10^16 meters)
Simplifying this expression, we get:
Distance in parsecs = 4.848 × 10 ^ -6 parsecs
So, the distance from the Earth to the Sun is approximately 0.000015812 light years or 4.848 × 10 ^ -6 parsecs