Infinite number of bodies, each of mass ...

Infinite number of bodies, each of mass `2kg`, are situated on `x`-axis at distance `1m,2m,4m,8m.........` respectively, from the origin. The resulting gravitational potential the to this system at the origing will be

-G

`-8/3G`

`-4/3G`

-4G

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

GRAVITATION
TARGET PUBLICATION|Exercise EVALUATION TEST|24 Videos
GRAVITATION
TARGET PUBLICATION|Exercise CRITICAL THINKING|78 Videos
ELECTROSTATICS
TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
INTERFERENCE AND DIFFRACTION
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Infinite number of bodies, each of mass 2kg are situated on X-axis at distance 1m,2m,4m,8m, respectively from the origin, What is the resulting gravitational potential due to this system at the origin ?

Infinite bodies, each of mass 3kg are situated at distance 1m,2m,4m,8m,........ Respectively on x-axis. The resultant intensity of gravitational field at the origin will be

An infinite number of particles each of mass m are placed on the positive X-axis of 1m, 2m, 4m, 8m,... from the origin. Find the magnitude of the resultant gravitational force on mass m kept at the origin.

Infinite number of masses, each of 1 kg , are placed along the x-axis at x = +- 1m, +- 2m, +-4m, +- 8m, +- 16m .. The gravitational of the resultant gravitational potential in term of gravitaitonal constant G at the origin (x = 0) is

A number of particles each of mass 0.75kg are placed at distances 1m, 2m, 4m, 8m etc. from origin along positive X axis. the intensity of gravitational field at the origin will be -

Infinite number of masses, each of mass m, are placed along a straight line at distances of r, 2r, 4r, 8r, etc. from a reference point O.Then the gravitational field intensity at point O will be

TARGET PUBLICATION-GRAVITATION-COMPETITIVE THINKING

A spherical planet far out in space has a mass M(0) and diameter D(0)....
Text Solution
|
Two bodies of masses m and 4m are placed at a distance r. The gravitat...
Text Solution
|
Two particles of masses 'm' and '9m' are separated by a distance 'r'. ...
Text Solution
|
The bodies of mass 100 kg and 8100 kg are held at a distance of 1 m. T...
Text Solution
|
A body is thrown from the surface of the earth with velocity u m/s. Th...
Text Solution
|
A particle of mass M is placed at the centre of a spherical shell of s...
Text Solution
|
An asteroid of mass m is approaching earth, initially at a distance 10...
Text Solution
|
Mass M is split into two parts m and (M-m), which are then separated b...
Text Solution
|
Suppose the gravitational force varies inversely as the n^(th) power o...
Text Solution
|
Imagine a light planet revolving around a very massive star in a circu...
Text Solution
|
Two stars of mass m(1) and m(2) are parts of a binary star system. Th...
Text Solution
|
A system of binary stars of mass m(A) and m(B) are moving in circular ...
Text Solution
|
A spherically symmetric gravitational system of particles has a mass d...
Text Solution
|
Assertion : An astronaut in an orbiting space station above the earth ...
Text Solution
|
An infinite number of particles each of mass m are placed on the posit...
Text Solution
|
Infinite number of bodies, each of mass 2kg, are situated on x-axis at...
Text Solution
|
Two heavy spheres of mass m are kept separated by a distance 2r. The g...
Text Solution
|
At what height from the surface of earth the gravitation potential and...
Text Solution
|
A satellite of mass m is in a circular orbit of radius r round the Ear...
Text Solution
|
The radii of a planet and its satellite are 2r and r and their densiti...
Text Solution
|