The sun delivers 10^3 Wm^-2 of electromagnetic flux to...

The sun delivers $10^{3} \mathrm{Wm}^{-2}$ of electromagnetic flux to earth's surface. The total power that is incident on a roof of dimension $8 \mathrm{~m} \times 20 \mathrm{~m}$ will be (A) $4 \times 10^{5} \mathrm{w}$ (B) $2.56 \times 10^{4} \mathrm{w}$ (C) $6.4 \times 10^{5} \mathrm{w}$ (D) $1.6 \times 10^{5} \mathrm{w}$

The sun delivers $10^{3} \mathrm{Wm}^{-2}$ of electromagnetic flux to earth's surface. The total power that is incident on a roof of dimension $8 \mathrm{~m} \times 20 \mathrm{~m}$ will be
(A) $4 \times 10^{5} \mathrm{w}$
(B) $2.56 \times 10^{4} \mathrm{w}$
(C) $6.4 \times 10^{5} \mathrm{w}$
(D) $1.6 \times 10^{5} \mathrm{w}$

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Key Concepts

Total Power Integration

The total power incident on a surface is obtained by multiplying the electromagnetic flux (power per unit area) by the surface area. This process of integrating a uniform flux over an area is fundamental in energy calculations across various disciplines, including solar energy applications and radiation physics.

Electromagnetic Flux

Electromagnetic flux is a measure of the power per unit area received from a source, typically expressed in watts per square meter (W/m²). It quantifies how much energy is transmitted through a surface in a given time, and it is a key concept in fields like astrophysics, radiometry, and energy engineering.

Surface Area Calculation

Calculating the area of a surface is essential for determining the total energy or power received when the flux is known. For simple geometric shapes like rectangles, the area is found by multiplying the lengths of its sides, which is a crucial step in integrating a uniform flux over a surface.

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