11th Physics Monthly Test - 1 ( Gravitation )

MABS Institution

11th Physics Monthly Test - 1 ( Gravitation )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

Viscosity is a property of

liquids only
solid only
solids & liquids only
liquids & gases only

A geostationary satellite orbits around the earth in a circular orbit of radius 3600 km the time period of a satellite orbiting a few hundred kilometers above the earth's surface (RE = 6400 km) will be approximately be _______ hours.

Two satellites of mass m₁ and m₂ (m₁ > m₂) are revolving round the earth in circular orbits of r₁ anf r₂ (r₁ > r₂) respectively. Which of the following statement is true regarding their speeds v₁ and v₂ ________.

v₁=v₂
v₁<v₂
v₁>v₂
\(\frac { { v }_{ 1 } }{ { r }_{ 1 } } =\frac { { v }_{ 2 } }{ { r }_{ 2 } } \)

The magnitude of the Sun’s gravitational field as experienced by Earth is

same over the year
decreases in the month of January and increases in the month of July
decreases in the month of July and increases in the month of January
increases during day time and decreases during night time

A body of mass m falls from earth's surface at a height equal to twice the radius (R) each. Then the change in P.E of body will be

2 mgR
\(\frac { 2 }{ 3 } \) mgR
3 mgR
\(\frac { 1 }{ 3 } \) mgR

If density of Earth increased 4 times and its radius becomes half of then out weight will be ________.

four times its present value
doubled
remains same
halved

What is the intensity of gravitational field at the center of spherical shell?

\(\frac{Gm}{r^2}\)
g
zero
None of these

When a metal wire is stretched by a .load, the fractional change in its volume ΔV/V is proportional to

\(\frac { \triangle l }{ l } \)
\(\left( \frac { \triangle l }{ l } \right) ^{ 2 }\)
\(\sqrt { \frac { \triangle l }{ l } } \)
none of these

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

K_A > K_B >K_C
K_B < K_A < K_C
K_A < K_B < K_C
K_B > K_A > K_C

A satellite revolves around the Earth in an elliptical orbit. Its speed.

is the same at all point in the orbit
is greatest when it is closest to the Earth
is greatest when it is farthest to the Earth
goes on increasing or decreasing continuously depending upon the mass of the satellite.

Part - B

Generic 2 - Answer All Question

A satellite does not need any fuel to aide around, the earth. Why?

The mass of a space ship is 1000 kg. It is to be launched from Earth's surface out into free space the value of g and R (radius of Earth) are 10 ms^-2 and 6400 km respectively. The required energy for this work will be.

An infinite number of bodies, each of mass 2 kg, are situated on x-axis at distances Im, 2m, 4m, 8m from the origin. What will be the resultant gravitational potential due to this system at the origin.

A comet orbits the sun in highly elliptical orbit. Does a comet has a constant.
(i) Lineal speed
(ii) Angular momentum
(iii) Total Energy throughout its orbit

What is the difference between gravitational potential and gravitational potential energy?
An object is thrown from Earth in such a way that it reaches a point at infinity with non-zero kinetic energy [K.E(r=\(\infty\))= \({1\over 2}MV_{\infty}^2\)], with what velocity should the object be thrown from Earth?

A particle of mass 10g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm, Find the work to done against the gravitational force between them to take the particle is away from the sphere

A geo-stationary satellite is orbiting the Earth of a height of 6R above the surface of Earth R being the radius of the Earth calculate the time period of another satellite at a height of 2.5R from the surface of Earth.

Define gravitational potential.

If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?

Part - C

Generic 3 - Answer All Question

Find the period of oscillation of a simple pendulum of length \(\alpha\) suspended from the roof a vehicle which moves without friction down an inclined plane of inclination \(\alpha.\)

What are the points to be noted to study about gravitational field?

Two heavy spheres, each of mass 100kg and radius 0.8m are placed 1m about on a table What is the gravitational force and potential at the mid point of the line joining the centers of the spheres?

A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. Find the time period of another satellite at a height of 2R from the surface of the earth.

A particle is projected upward from the surface of the earth (radius) with a K.E equal to half the minimum value needed for it to escape. To which height, does it rise above the surface of earth?

A simple pendulum has a .times period T₁ when on the earth's surface & T₂ when taken to a hight & above the earth's surface, where R is the radius of the earth. What is the value of T₂/T₁?
Why the gravitational force between the Earth and the Sun is so great while the same force between two small objects is negligible?

A mass M is broken into two parts, on & (M-m). How is m related to M so that the gravitational force between two parts is maximum?

What will be the potential energy of a body of mass 67kg at a distance of 6.6x 10¹⁰m from the centre of the earth? Find gravitational potential at this distance

When does the work done to be negative and positive?

Part - D

Generic 5 - Answer All Question

Drive the relation between g and Gravitational constant.

Derive the time period of satellite orbiting the Earth.

Moon is the natural satellite of Earth and it takes 27 days to go once around its orbit. Calculate the distance of the Moon from the surface of the Earth assuming the orbit of the Moon as circular

Water falls from the top of a hill to the ground. Why?This is because the top of the hill is a point of higher gravitational potential than the surface of the Earth i.e.
VV

Explain the freely falling apple on Earth using the concept of gravitational potential V(r)?

Explain in detail the geostationary and polar satellites.

1. Calculate the value of g in the following two cases:
(a) If a mango of mass ½ kg falls from a tree from a height of 15 meters, what is the acceleration due to gravity when it begins to fall?
(b) Consider a satellite orbiting the Earth in a circular orbit of radius 1600 km above the surface of the Earth. What is the acceleration experienced by the satellite due to Earth’s gravitational force?
Derive the expression for gravitational potential energy.

Qualitatively indicate the gravitational field of Sun on Mercury, Earth, and Jupiter shown in figure.

Moon and an apple are accelerated by the same gravitational force due to Earth. Compare the acceleration of the two

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11th Physics Monthly Test - 1 ( Gravitation )

MABS Institution

11th Physics Monthly Test - 1 ( Gravitation )-Aug 2020

Part - A

Multiple Choice Question - Answer All Question

Viscosity is a property of

A geostationary satellite orbits around the earth in a circular orbit of radius 3600 km the time period of a satellite orbiting a few hundred kilometers above the earth's surface (RE = 6400 km) will be approximately be _______ hours.

Two satellites of mass m1 and m2 (m1 > m2) are revolving round the earth in circular orbits of r1 anf r2 (r1 > r2) respectively. Which of the following statement is true regarding their speeds v1 and v2 ________.

The magnitude of the Sun’s gravitational field as experienced by Earth is

A body of mass m falls from earth's surface at a height equal to twice the radius (R) each. Then the change in P.E of body will be

If density of Earth increased 4 times and its radius becomes half of then out weight will be ________.

What is the intensity of gravitational field at the center of spherical shell?

When a metal wire is stretched by a .load, the fractional change in its volume ΔV/V is proportional to

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

A satellite revolves around the Earth in an elliptical orbit. Its speed.

Part - B

Generic 2 - Answer All Question

A satellite does not need any fuel to aide around, the earth. Why?

The mass of a space ship is 1000 kg. It is to be launched from Earth's surface out into free space the value of g and R (radius of Earth) are 10 ms-2 and 6400 km respectively. The required energy for this work will be.

An infinite number of bodies, each of mass 2 kg, are situated on x-axis at distances Im, 2m, 4m, 8m from the origin. What will be the resultant gravitational potential due to this system at the origin.

A comet orbits the sun in highly elliptical orbit. Does a comet has a constant. (i) Lineal speed (ii) Angular momentum (iii) Total Energy throughout its orbit

What is the difference between gravitational potential and gravitational potential energy?

An object is thrown from Earth in such a way that it reaches a point at infinity with non-zero kinetic energy [K.E(r=\(\infty\))= \({1\over 2}MV_{\infty}^2\)], with what velocity should the object be thrown from Earth?

A particle of mass 10g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm, Find the work to done against the gravitational force between them to take the particle is away from the sphere

A geo-stationary satellite is orbiting the Earth of a height of 6R above the surface of Earth R being the radius of the Earth calculate the time period of another satellite at a height of 2.5R from the surface of Earth.

Define gravitational potential.

If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?

Part - C

Generic 3 - Answer All Question

Find the period of oscillation of a simple pendulum of length \(\alpha\) suspended from the roof a vehicle which moves without friction down an inclined plane of inclination \(\alpha.\)

What are the points to be noted to study about gravitational field?

Two heavy spheres, each of mass 100kg and radius 0.8m are placed 1m about on a table What is the gravitational force and potential at the mid point of the line joining the centers of the spheres?

A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. Find the time period of another satellite at a height of 2R from the surface of the earth.

A particle is projected upward from the surface of the earth (radius) with a K.E equal to half the minimum value needed for it to escape. To which height, does it rise above the surface of earth?

A simple pendulum has a .times period T1 when on the earth's surface & T2 when taken to a hight & above the earth's surface, where R is the radius of the earth. What is the value of T2/T1?

Why the gravitational force between the Earth and the Sun is so great while the same force between two small objects is negligible?

A mass M is broken into two parts, on & (M-m). How is m related to M so that the gravitational force between two parts is maximum?

What will be the potential energy of a body of mass 67kg at a distance of 6.6x 1010 m from the centre of the earth? Find gravitational potential at this distance

When does the work done to be negative and positive?

Part - D

Generic 5 - Answer All Question

Drive the relation between g and Gravitational constant.

Derive the time period of satellite orbiting the Earth.

Moon is the natural satellite of Earth and it takes 27 days to go once around its orbit. Calculate the distance of the Moon from the surface of the Earth assuming the orbit of the Moon as circular

Water falls from the top of a hill to the ground. Why?This is because the top of the hill is a point of higher gravitational potential than the surface of the Earth i.e. VV

Explain the freely falling apple on Earth using the concept of gravitational potential V(r)?

Explain in detail the geostationary and polar satellites.

Derive the expression for gravitational potential energy.

Qualitatively indicate the gravitational field of Sun on Mercury, Earth, and Jupiter shown in figure.

Moon and an apple are accelerated by the same gravitational force due to Earth. Compare the acceleration of the two

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Two satellites of mass m₁ and m₂ (m₁ > m₂) are revolving round the earth in circular orbits of r₁ anf r₂ (r₁ > r₂) respectively. Which of the following statement is true regarding their speeds v₁ and v₂ ________.

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

The mass of a space ship is 1000 kg. It is to be launched from Earth's surface out into free space the value of g and R (radius of Earth) are 10 ms^-2 and 6400 km respectively. The required energy for this work will be.

A comet orbits the sun in highly elliptical orbit. Does a comet has a constant.
(i) Lineal speed
(ii) Angular momentum
(iii) Total Energy throughout its orbit

A simple pendulum has a .times period T₁ when on the earth's surface & T₂ when taken to a hight & above the earth's surface, where R is the radius of the earth. What is the value of T₂/T₁?

What will be the potential energy of a body of mass 67kg at a distance of 6.6x 10¹⁰m from the centre of the earth? Find gravitational potential at this distance

Water falls from the top of a hill to the ground. Why?This is because the top of the hill is a point of higher gravitational potential than the surface of the Earth i.e.
VV