JEE Advanced Model Paper 15 with solutions for online practice

Let us assume the complete sphere. The upper hemisphere is denoted by 4 and the lower by B. Combined field intensity at P or Q is
E =

GM

(2R)2

=

G

4R2

4

3

πR3ρ =

πGρR

3

It is obvious that intensity at P and Q will be unlike parallel.
It is clear that is magnitude of intensity at Q due to only the hemisphere B is E0 then at P
it will be

π

3

GρR−E0