Question

In: Physics

At the Earth’s orbital distance, the intensity of the solar radiation is approximately 1400 W/m2. What...

At the Earth’s orbital distance, the intensity of the solar radiation is approximately 1400 W/m². What is the value for the intensity at Mercury’s orbital distance, which is 38.7% the distance to the sun that the Earth is.

3800 W/m²

9350 W/m²

540 W/m²

2280 W/m²

Expert Solution

Orbital distance of Earth = R₁

Solar radiation intensity at Earth's orbital distance = I₁ = 1400 W/m²

Orbital distance of Mercury = R₂

Solar radiation intensity at Mercury's orbital distance = I₂

Mercury's orbital distance is 38.7% of the Earth's orbital distance.

R₂ = 0.387R₁

Intensity of solar radiation is inversely proportional to the square of the distance.

Let 'k' be the constant of proportionality.

I₁R₁² = k

I₂R₂² = k

I₁R₁² = I₂R₂²

(1400)R₁² = I₂(0.387R₁)²

I₂ = 9347.7 W/m²

Nearest answer is 9350 W/m²

genius_generous answered 2 years ago

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