A solid sphere of uniform density and radius 
applies a gravitational force of attraction equal to 
on a particle placed at 
, distance 
from the centre 
of the sphere. A spherical cavity of radius 
is now made in the sphere as shown in figure. The sphere with cavity now applied an gravitational force 
on same particle placed at 
. The ratio 
will be
.png)
a)
1/2
b)
7/ 9
c)
3
d)
7
applies a gravitational force of attraction equal to on a particle placed at , distance from the centre of the sphere. A spherical cavity of radius is now made in the sphere as shown in figure. The sphere with cavity now applied an gravitational force on same particle placed at . The ratio will bea)
1/2
b)
7/ 9
c)
3
d)
7
Question ID - 55345 | SaraNextGen Top Answer A solid sphere of uniform density and radius applies a gravitational force of attraction equal to on a particle placed at , distance from the centre of the sphere. A spherical cavity of radius is now made in the sphere as shown in figure. The sphere with cavity now applied an gravitational force on same particle placed at . The ratio will be
a)
1/2
b)
7/ 9
c)
3
d)
7
A solid sphere of uniform density and radius applies a gravitational force of attraction equal to on a particle placed at , distance from the centre of the sphere. A spherical cavity of radius is now made in the sphere as shown in figure. The sphere with cavity now applied an gravitational force on same particle placed at . The ratio will be
|
a) |
1/2 |
b) |
7/ 9 |
c) |
3 |
d) |
7 |
(b)
Gravitational force due to solid sphere, 
where 
and 
are mass of the solid sphere and particle respectively and 
is the radius of the sphere. The gravitational force on particle due to sphere with cavity = force due to solid sphere creating cavity, assumed to be present above at that position
So, 