Six particles each of mass m are placed at the corners of a regular hexagon of edge length a. If a point mass m0 is placed at the centre of the hexagon, then the net gravitational force on the point mass m0 is

6Gm2a2

6Gmm0a2

zero

none of these

A

6Gm2a2

B

zero

C

none of these

D

6Gmm0a2

Open in App

Solution

Verified by Toppr

The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

Was this answer helpful?

10

Similar Questions

Q1

Six particles each of mass m are placed at the corners of a regular hexagon of edge length a. If a point mass m0 is placed at the centre of the hexagon, then the net gravitational force on the point mass m0 is :

View Solution

Q2

A point mass m0 is placed at a distance R3 from the centre of a spherical shell of mass M and radius R. The gravitational force on the point mass m0 is

View Solution

Q3

Three particles each of mass m are placed at the three corners of an equilateral triangle. The centre of the triangle is at a distance x from either corner. If a mass M placed at the centre, what will be the net gravitational force on it.

View Solution

Q4

Six point masses each of mass m are placed at the vertices of a regular hexagon of side l. The force acting on any of the masses is:

View Solution

Q5

Four particles having masses m,2m,3m,4m are placed at four corners of a square of edge a.Find the gravitational force acting on a particle of mass m placed at the centre.