Free Printable Gravitation

1.

Three particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is

a)

zero

b)

$\frac{3GM}{L^2}$

c)

$\frac{9GM}{L^2}$

d)

$\frac{12GM}{\sqrt{3}\ L^2}$

2.

A point mass m is placed inside a spherical shell of radius R and mass M at a distance R/2 from the centre of the shell. The gravitational force exerted by the shell on the point mass is

a)

$\frac{GMm}{R^2}$

b)

$-\frac{GMm}{R^2}$

c)

$\frac{4GMm}{R^2}$

d)

zero

3.

If M is the mass of the planet and R its radius, then the ratio of the gravitational acceleration and the gravitational constant is

a)

$\frac{R^2}{M}$

b)

$\frac{M}{R^2}$

c)

$MR^2$

d)

$\frac{M}{R}$

4.

If the mass of earth is 80 times that of moon and its diameter is double that of moon and g on earth is 9.8 $\frac{m}{s^2}$ , then the value of g on moon is

a)

$\frac{0.98m}{s^2}$

b)

$0.49\ \frac{m}{s^2}$

c)

$9.8\ \frac{m}{s^2}$

d)

$4.9\ \frac{m}{s^2}$

5.

If the radius of earth decreases by 1% and its mass remains same, then the acceleration due to gravity

a)

increases by 1%

b)

decreases by 1%

c)

increases by 2%

d)

decreases by 2%

6.

At what height(h) above the earth's surface would the acceleration due to gravity be one - fourth of the value at the surface of earth.

a)

h = R

b)

h = 4R

c)

h = 2R

d)

h = 16R

7.

The value of acceleration due to gravity g at distance r from earth's centre such that r < R depends on r according to the relation (R = radius of earth)

a)

$g\ \propto\ \frac{1}{r^2}$

b)

$g\ \propto\ \frac{1}{r}$

c)

$g\ \propto\ r$

d)

$g\ \propto\ r^2$

8.

If g be the acceleration due to gravity at the earth surface, then what will be the increase in potential energy if object of mass m is raised to a height equal to the radius R of earth

a)

$\frac{1}{2}mgR$

b)

$2mgR$

c)

$mgR$

d)

$\frac{1}{4}mgR$

9.

A particle falls towards earth from infinity. Its velocity on reaching the earth would be

a)

infinity

b)

$\sqrt{2gR}$

c)

$2\sqrt{gR}$

d)

zero

10.

The velocity with which a projectile must be fired so that it escapes earth's gravitational field (escape velocity) does not depend on

a)

Mass of earth

b)

mass of the projectile

c)

radius of orbit

d)

Universal Gravitational Constant G

11.

Escape velocity from a planet is v. If its mass is increased to 8 times and its radius is increased to 2 times, then the new escape velocity would be

a)

v

b)

$\sqrt{2\ \ }\ v$

c)

2v

d)

$\left(2\sqrt{2}\right)v$

12.

The escape velocity from earth is v. A body is projected with velocity 2v. With what constant velocity will it move in the inter planetary space?

a)

v

b)

3v

c)

$\sqrt{3}\ v$

d)

$\sqrt{5}\ v$

13.

The value of escape velocity on a certain planet is 2 km/s. The value of orbital speed for a satellite orbiting close to the surface of planet is

a)

12 km/s

b)

1 km/s

c)

$\sqrt{2}\ \ \frac{m}{s}$

d)

$2\sqrt{2}\ \ \frac{m}{s}$

14.

A ball is dropped from a spacecraft revolving around earth at a height of 120 Km. What will happen to the ball?

a)

It will go very far in the space

b)

it will move with the same speed tangentially to the space craft

c)

it will fall down to the earth gradually

d)

it will continue to move with the same speed along the original orbit of the spacecraft

15.

A body is projected from earth's surface to become its satellite. Its time period of revolution will not depend upon

a)

mass of earth

b)

mass of body

c)

gravitational constant

d)

radius of earth

16.

Two satellites of masses $m_1$ and $m_2$ ( where $m_1$ is greater than $m_2$ ) are going around the earth in orbits of radii $r_1$ and $r_2$ ( $r_1$ > $r_2$ ). Which statement about velocities is correct?

a)

$v_1\ >\ v_2$

b)

$v_1\ <\ v_2$

c)

$v_1\ =\ v_2$

d)

$\frac{v_1}{r_1}\ >\ \frac{v_2}{r_2}$

17.

The total energy of a satellite is E. What is the P.E.

a)

2E

b)

- 2E

c)

E

d)

- E

18.

Two satellites A and B have ratio of masses 3 : 1 in circular orbits of radii r and 4r. The ratio of total mechanical energy of A to B is

a)

1 : 3

b)

3 :1

c)

3 : 4

d)

12 : 1

19.

If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will

a)

continue to move in its orbit with same velocity

b)

move tangentially to the original orbit with the same velocity

c)

become stationary in its orbit

d)

move towards the earth

20.

Which of the following graph correctly depicts the variation in value of acceleration due to gravity with distance d from the center of earth (R = radius of earth)

a)

a

b)

b

c)

c

d)

d

Gravitation_BBPS

Total questions: 20

Worksheet time: 20mins

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