- Introduction
- |
- Kepler's Law
- |
- Universal law of gravitation
- |
- Acceleration due to grawing of earth
- |
- Acceleration due to grawing below and above earth surface

In this page we have ** Questions on gravitation for JEE Main/Advanced/AP physics** . Hope you like them and do not forget to like , social share
and comment at the end of the page.

**Question 1:**

Which of the following is true for Uniform Solid sphere of Mass M and radius b

a) for r > b,Gravitational field decreases as r is increased

b) for r< b, Gravitational field increased as r is increased

c) Gravitational Field at r=0 is equal to 0

d) Gravitational field at the r=b is GM/b^{2}

**Question 2:**

Let P denotes the Gravitational potential and F denotes the Gravitational Field

What all relation are true for a uniform spherical shell

a) P≠0 inside the shell and it is constant inside the shell

b) E≠0 inside the shell and it is constant inside the shell

c) E=0 at all the point inside the shell

d) none of these

**Question 3:**

3 A thin rod of length L and mass M is placed along x axis.One end of rod is placed at origin and other end is at (L,0).

Let **i** and **j** are the unit vector across x and y axis

Find the Gravitational field at Point P( a,0) where a > L

a) **i**

b) **i**

c) **i**

d ) None of these

**Question 4:**

Find the gravitational potential at point P .We take gravitational potential to be zero at infinity

a)

b)

c)

d)

**Question 5:**

Three particles A,B,C each of mass m are placed at the corner of the equilateral triangle of side a. Find the potential energy of the system

A,

B)

C)

D) None of these

**Question 6:**

Find the Gravitational Potential at point A

a)

b)

c)

d) None of these

**Question 7:**

Find the work done on this system if the side of the triangle is changed from a to 3a

a)

b)

c)

d)

**Question 8:**

Three concentric shells A,B ,C of uniform density have masses M_{1} ,M_{2} and M_{3} respectively. There radii are R_{1},R_{2} and R_{3 } respectively.

R_{3} > R_{2} > R_{1}.

A particle of mass m is placed at placed at a distance d

Match the column

**Column A** ( it tells us about the location)

P) R_{1} < d < R_{2}

Q) d < R_{1}

R) R_{1} < R_{2} < d < R_{3}

S) R_{1} < R_{2} < R_{3} < d

**Column B **( it tells us about the gravitational force experienced)

D)

E)

F)

G) 0

**Question 9:**

A cosmic body A of mass m moves to the sun with velocity v_{0} ( when far from sun) and aiming parameter d the arm of the velocity v_{0} relative to the center of the sun.

1) Find the angular momentum of the body about the sun at the starting point

2) Find the minimum distance which this body will get to the sun

3) Find the velocity at minimum separation

4) Find the total energy of the system at the minimum distance

Mass of the sun =M_{s}

**Question 10:**

A planet of mass M moves along a ellipse around the sun so that its maximum and minimum distance from the sun are equal to a and b respectively

a) Find the velocities at the minimum and maximum distance

b) Find the Total energy of the system

c) Find the angular momentum of the planet relative to the center of the sun

d) At a point P when at a distance r_{0} from the sun,the angle between velocity vector and radius vector is θ. Find the velocity at the point P

e) find the ecentricty and semi major axis of the ellipse

Mass of the sun =m

**Question 11:**

A hole were drilled completely through the earth along a diameter.A particle of mass m is released into the hole from the surface of the earth

a) find the force acting on the mass m at distance r from the center

b) Show that the motion will be simple harmonic and Find out the time period of it

Let M be the mass of the Earth

R be the radii of the Earth

We assume that density is Uniform

**Question 12: **

Two satellite M and N are revolving around the earth in coplanar concentric orbits.

The Time period of the satellite are 2 h and 16 H respectively. The radius of the orbit of the satellite N is 3.2X 10^{4} Km.The satellite are moving in opposite direction.

At t=0, the position of the satellite is shown in below figure

Find out the following things

1) The time period of the satellite M

2) Orbital velocity of both the satellite

3) Find the angular velocity of satellite N as observed by M at t=8 hour

**Question 13:**

A satellite of mass m is orbiting the earth in a circular orbit of radius R.

**Statement I:** Angular Momentum of the satellite varies as

**Statement II**: Linear momentum of the satellite varies as 1/R

**Statement III:** Kinetic energy varies as 1/R

**Statement IV:** Frequency of revolution varies as

Which of the following is correct

a) All the statements are correct

b) Statement I,II,III are correct only

c) Statement II,IV are correct only

d) Statement I,II,IV are correct only

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