Consider an infinite distribution of poi...

Consider an infinite distribution of point masses (each of mass m) placed on x-axis as shown in the diagram. What is the gravitational force acting on the point mass placed at the origin ?

`(4Gm^(2))/(3r^(2))`

`(Gm^(2))/(3r^(2))`

`(4Gm^(2))/(r^(2))`

`(Gm^(2))/(r^(2))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

GRAVITATION
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION -C (Objective Type Questions (More than one option are correct))|11 Videos
GRAVITATION
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION -D (Linked Comprehension Type Questions)|13 Videos
GRAVITATION
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION -A (Objective Type Questions (one option is correct))|50 Videos
ELECTROSTATIC POTENTIAL AND CAPACITANCE
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D|13 Videos
KINETIC THEORY
AAKASH INSTITUTE|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos

AAKASH INSTITUTE-GRAVITATION -ASSIGNMENT SECTION -B (Objective Type Questions (one option is correct))

Consider an infinite distribution of point masses (each of mass m) pla...
04:11
|
The gravitational field in a region is given by vec(g)=(2hat(i)+3hat(j...
02:13
|
Consider a ring of mass m and radius r. Maximum gravitational intensit...
09:15
|
The weight of an object on the surface of the Earth is 40 N. Its weigh...
02:14
|
A solid sphere of uniform density and radius 4 units is located with i...
14:56
|
Potential (V) at a point in space is given by v=x^(2)+y^(2)+z^(2). Gra...
03:19
|
Three particle of mass m each are placed at the three corners of an eq...
05:43
|
A body at rest starts from a point at a distance r (gtR) from the cent...
04:53
|
Imagine a light planet revolving around a massive star in a circular o...
01:08
|
The value of g at depth h is two third the value that on the earth's ...
02:22
|
Given that the gravitation potential on Earth surface is V(0). The pot...
05:10
|
E, U and K represent total mechanical energy potential energy and kine...
07:37
|
If v(0) be the orbital velocity of an articial satellite orbital veloc...
02:41
|
The period of revolution of a satellite orbiting Earth at a height 4R ...
06:38
|
A particle is projected vertically upward with with velocity sqrt((2)/...
08:22
|
A tunnel is dug across the diameter of earth. A ball is released from ...
07:56
|
Identify the incorrect statement about a planet revolving around Sun
05:46
|
A large solid sphere of diameter d attracts a small particle with a fo...
05:24
|
The value of acceleration due to gravity will be 1% of its value at th...
01:52
|
If the radius of earth shrinks to kR (k lt 1), where R is the radius o...
04:10
|

Home

Profile