Question

Energy from the Sun arrives at the top of the Earth's atmosphere with an intensity of 1.34 kW/m2. How long does it take (in days) for 1.73 ✕ 109 J to arrive on an area of 9.03 m2?

Answer 1

Given :

Intensity, I = 1.34 kW/m².

Area, A = 3.28 m².

To Find :

Time taken to arrive.

Solution :

Power is given by :

P = I × A

P = 1.34 × 3.28 × 1000 W

P = 4395.2 W

Also, power is given by :

P = E/t

t = E/P

t = 1.73 × 10⁹ J/4395.2 W

t = 393611 s

Converting this time in second to days, we get :

t = 393611/( 24×60×60) days

t = 4.55 days.

Hence, this is the required solution.