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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

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

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

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

a)

b)

c)

d ) None of these

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

a)

b)

c)

d)

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

Find the Gravitational Potential at point A

a)

b)

c)

d) None of these

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

a)

b)

c)

d)

Three concentric shells A,B ,C of uniform density have masses M

R

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

Match the column

P) R

Q) d < R

R) R

S) R

D)

E)

F)

G) 0

A cosmic body A of mass m moves to the sun with velocity v

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

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

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

Mass of the sun =m

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

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

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

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

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

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

Class 11 Maths Class 11 Physics Class 11 Chemistry

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