What is the intensity of the gravitational field at the center of a spherical shell?
A
Gm/r2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
zero
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C
zero
Explanation of the correct answer:
Option C
The intensity of the gravitational force at the center of the earth is zero.
The equation of the intensity of the gravitational force can be written as:
where is the acceleration due to gravity, is the acceleration due to gravity at the distance , is the radius of the earth.
At the center of the earth, the distance from the center of the earth from the surface is equal to its radius. The equation can be written as: , Hence, the intensity of the gravitational field at the center of a spherical shell is zero.
Explanation of the incorrect Answers:
Option A
Gm/r2
The equation Gm/r2 represented the gravity at the surface of the earth.
Gravity at the surface of the earth
The intensity of the gravitational field at the center of a spherical shell is zero.
Option B
g
the intensity of the gravitational field at the center of a spherical shell is zero.
The gravity is represented by the symbol g, but there is no gravity at the center of the spherical shell.