It takes about eight and a half minutes for light to reach the earth from the sun. How far away is the sun (in meters)?
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Thanks for the clear calculations
What would have been the case if there would have been a full solar eclipse, then what would be the time taken for light to reach earth from behind the moon.
First of all, during a full solar eclipse the view of the Sun from the Earth is fully obscured by the moon. In that case, the part of the Earth where the moon casts its shadow will have no visibility of the Sun till the moon moves about from the path and the other parts of the Earth will view the Sun as usual. So, in case of a full solar eclipse, light from the Sun will not reach that part of the Earth and to the rest of the Earth, the light from the Sun will take the usual 8 2 1 minutes to reach the surface.
no actually not. Einstein already has explained in his paper on "General relativity" in 1920 that during eclipse light will take a bit more time to reach earth. Reason : the light from sun will slightly bend (near the moon) thereby making an angle to reach the earth. Because of which time taken will be a bit more.
@Pragati Patra – That is exactly true... Moon's gravity bends the light coming from sun and hence a greater path is traveled by light and thus more time. So in fact though behind the moon, sun will be visible to some population, in other words - sun becomes visible before actual completion of eclipse. though the difference is in mili/micro seconds
Let d be the distance in meters between the sun and earth.
Given, v = speed of light = 3 × 1 0 8 m/s
t = time for the light to travel from sun to earth = 8 . 5 minutes = 8 . 5 × 6 0 seconds = 5 1 0 seconds.
Using the equation,
d = v × t
we get
d = 3 × 1 0 8 × 5 1 0
d = 1 . 5 3 × 1 0 1 1 meters
That's the answer!
We know : Distance = Speed x Time
T i m e ( i n s e c o n d s ) = T i m e ( i n m i n u t e s ) ∗ 6 0 = 8 . 5 ∗ 6 0 = 5 1 0 s
Putting given values we get : * D i s t a n c e = 3 ∗ 1 0 8 ∗ 5 1 0 s = 1 . 5 3 ∗ 1 0 1 1 s *
speed of light = 3 x 10^8 time taken by the light to reach the earth from sun = 8 minutes & half minute = 510 seconds so, distance is speed x time Distance = [3 x 10^8]m x [510]seconds = [153 x 10^9]
Eight and a half minutes is equal to 5 1 0 seconds, so the distance between the Earth and the Sun is about 5 1 0 ⋅ ( 3 × 1 0 8 ) = 1 . 5 3 × 1 0 1 1 meters.
(You would input this as "1.53E+11".)
We have v = t s ⇒ s = t ⋅ v . The speed of the light is 3 ⋅ 1 0 8 m / s and the time it takes for the light to reach the earth is 8 . 5 m i n = 5 1 0 s . Therefore, the distance is calculated by, s = 5 1 0 ⋅ 3 ⋅ 1 0 8 = 1 . 5 3 ⋅ 1 0 1 1 m
c = d/t, distance, d = ct = (3E+8)510 = 1.53E+11
Total time takes = 3 0 + 8 ∗ 4 8 = 5 1 0 s e c
Speed of light = 3 ∗ 1 0 8 m / s e c
Total distance = 5 1 0 ∗ 3 ∗ 1 0 8 = 1 . 5 3 E + 1 1 m
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Time = 8 2 1 = 2 1 7 m i n = 2 1 7 × 6 0 = 1 7 × 3 0 = 5 1 0 sec.
So, we know, Speed of light = 3 × 1 0 8 m/s.
Now, we know that,
Distance=Speed × Time ⟹ d = 3 × 1 0 8 × 5 1 0 = 1 5 3 0 × 1 0 8 = 1 . 5 3 × 1 0 1 1 = 1 . 5 3 E + 1 1