Two identical silver spheres of mass m and radius r are placed a distance R (sphere 1) and 3R (sphere 2) from the sun respectively. The ratio of the intensity of solar radiation on sphere 2 to that on sphere 1 is____________.

a. 9.0
b. 1.0
c. 0.33
d. 3.0
e. 0.11

Respuesta :

Answer:

e.0.11

Explanation:

We are given that

[tex]R_1=R[/tex]

[tex]R_2=3 R[/tex]

We have to find the ratio of the intensity of solar radiation on sphere 2 to that on sphere 1.

Intensity is inversely proportional to square of distance from sun.

[tex]\frac{I_2}{I_1}=\frac{R^2_1}{R^2_2}[/tex]

Using the formula

[tex]\frac{I_2}{I_1}=\frac{(R^2}{(3R)^2}[/tex]

[tex]\frac{I_2}{I_1}=\frac{1}{9}[/tex]

[tex]\frac{I_2}{I_1}=0.11[/tex]

Option e is true.

Answer:

Ratio of intensity of solar radiation on sphere 2 to sphere 1 is 0.11

So option (e) will be correct answer

Explanation:

We have given two identical silver sphere of mass and radius r

Distance of first sphere from sun is R

And distance of second sphere from sun is 3R

We know that intensity of solar radiation is inversely proportional to square of distance from sun

So [tex]\frac{I_2}{I_1}=\frac{R_1^2}{R_2^2}[/tex]

[tex]\frac{I_2}{I_1}=\frac{R^2}{(3R)^2}[/tex]

[tex]\frac{I_2}{I_1}=\frac{1}{9}=0.111[/tex]

So ratio of intensity of solar radiation on sphere 2 to sphere 1 is 0.11

So option (e) will be correct answer