Question

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

Answer 1

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

So option (e) will be correct answer

Step-by-step 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
`(I_2)/(I_1)=(R_1^2)/(R_2^2)`

`(I_2)/(I_1)=(R^2)/((3R)^2)`

`(I_2)/(I_1)=(1)/(9)=0.111`

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

So option (e) will be correct answer

Answer 2

e.0.11

Step-by-step explanation:

We are given that

`R_1=R`

`R_2=3 R`

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.

`(I_2)/(I_1)=(R^2_1)/(R^2_2)`

Using the formula

`(I_2)/(I_1)=((R^2)/((3R)^2)`

`(I_2)/(I_1)=(1)/(9)`

`(I_2)/(I_1)=0.11`

Option e is true.