Question

What is the intensity of gravitational field at the center of spherical shell (A) $\left(\mathrm{Gm} / \mathrm{r}^{2}\right)$ (B) $\mathrm{g}$ (C) zero (D) None of these

Name: Problem 723, Chapter 6: JEE Physics
Uploaded: 2021-11-14T11:23:33-08:00
Duration: 33 s
Channel: Narendra Kumar
Description: What is the intensity of gravitational field at the center of spherical shell (A) (Gm / r^2) (B) g (C) zero (D) None of these

   What is the intensity of gravitational field at the center of spherical shell
(A) $\left(\mathrm{Gm} / \mathrm{r}^{2}\right)$
(B) $\mathrm{g}$
(C) zero
(D) None of these

JEE Physics

StemEZ 1st Edition

Chapter 6, Problem 723

Instant Answer

Solved by Expert Narendra Kumar

11/14/2021

Step 1

Step 1: The gravitational field intensity at a point inside a spherical shell is given by the formula: \[ g = \frac{Gm}{r^{2}} \] where: - $ G $ is the gravitational constant, - $ m $ is the mass of the shell, - $ r $ is the distance from the center of the Show more…

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What is the intensity of gravitational field at the center of spherical shell (A) $\left(\mathrm{Gm} / \mathrm{r}^{2}\right)$ (B) $\mathrm{g}$ (C) zero (D) None of these

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Key Concepts

Shell Theorem

The shell theorem is a principle in classical gravitation stating that a spherically symmetric shell of mass exerts no net gravitational force on objects located within it. This concept explains why the gravitational field inside a uniformly distributed spherical shell is zero, regardless of the object's position within the shell.

Spherical Symmetry

Spherical symmetry in gravitational fields indicates that mass distribution remains uniform in all directions from the center. This symmetry causes the contributions of gravitational forces from different parts of a spherical shell to cancel each other out, leading to a zero net gravitational field at the center.

Gravitational Field

The gravitational field is a vector field that represents the gravitational force experienced by a unit mass at any point in space. It quantifies how the presence of mass creates a force field affecting other masses, with the force per unit mass being the field's intensity.

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