The concept of power is given by the relationship between intensity and area, that is to say that power is defined as
[tex]P = A*I[/tex]
Our values are given under the condition of,
[tex]r_1 = 18m[/tex]
[tex]r_2 = m[/tex]
The power is proportional to the Area, and in turn, we know that the Area of a circle is the product between [tex]\pi[/tex] times the radius squared, therefore the power is proportional to the radius squared.
[tex]\text{Power} \propto r^2[/tex]
For both panels we would have to
[tex]\frac{\text{Power by panel 1}}{\text{Power by panel 2}} = \frac{r_1^2}{r_2^2}[/tex]
[tex]\frac{P_1}{P_2} = (\frac{18}{6})^2[/tex]
[tex]\frac{P_1}{P_2} = 9[/tex]
Therefore the correct option is option C.9
Answer:
the correct answer is option (c) 9
Explanation:
solution;
Given data;
radius of spacecraft 1 = 18m
radius of spacecraft 1 = 6m
The total power output of the star = 4 x 1025 W
power is given by the formula;
P = I * A
where I is light intensity and A is the area
but power can be said to be proportional to area.
Since area = πr² therefore, power is proportional to r²
The equation becomes,
power of panel 1 /power of panel 2 = r₁²/r₂²
= 18²/6²
= 324/36
Ratio = 9
