Home
Class 12
PHYSICS
Three particles, two with mass m and one...

Three particles, two with mass m and one with mass M, might be arranged in any of Rank the configuration according of the gravitational force on M, least to greatest.

A

1, 2, 3, 4

B

2, 1, 3, 4

C

2, 1, 4, 3

D

2, 3, 4, 1

Text Solution

Verified by Experts

The correct Answer is:
B

`F_"on M"=G(Mm)/d^2+(GM m)/((2d)^2) =(GM m)/d^2 [1+1/4]=5/4xx(GM m)/d^2`

`F_"on M"=G(GMm)/d^2 -(GM m)/d^2=0`

`F_"on M"=GMm[(1/d^2)^2 + (1/d^2)^2]^(1/2)=sqrt2(GMm)/d^2`

`F_"on M"=(GMm)/d^2 sqrt(2+2cos theta ) = sqrt(2(1+cos theta))(GMm)/d^2`
Least to greatest : 2, 1, 3, 4
Promotional Banner

Similar Questions

Explore conceptually related problems

A mass is at the center of a square, with four masses at the corners as shown. Rank the choices according to the magnitude of the gravitational force on the center mass.

The figure shows four arrangement of three particles of equal masses. Rank the arrangement according to the magnitude of the net gravitational force on the particle m, greatest first.

The reduce mass of two particles having masses m and 2 m is

A mass m is placed in the cavity inside hollow sphere of mass M as shown in the figure. The gravitational force on m is

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to tke rod.

Three uniform spheres each of mass m and diameter D are kept in such a way that each touches the other two, then magnitudes of the gravitational force on any one sphere due to the other two is

Consider the situation as shown in the following diagrams. Find net gravitational force on the particle of mass m .

If two particles each of mass m are placed at the two vertices of an equilateral triangle of side a , then the resultant gravitational force on mass m placed at the third vertex is