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Chapters
2: Mathematical Methods
3: Motion in a Plane
4: Laws of Motion
▶ 5: Gravitation
6: Mechanical Properties of Solids
7: Thermal Properties of Matter
8: Sound
9: Optics
10: Electrostatics
11: Electric Current Through Conductors
12: Magnetism
13: Electromagnetic Waves and Communication System
14: Semiconductors
![Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 5 - Gravitation - Shaalaa.com](/images/physics-english-11-standard-maharashtra-state-board_6:314f14dcb519476f83adce5380e7a92f.jpg "Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 5 - Gravitation")
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Solutions for Chapter 5: Gravitation
Below listed, you can find solutions for Chapter 5 of Maharashtra State Board Balbharati for Physics [English] 11 Standard Maharashtra State Board.
Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board 5 Gravitation Exercises [Pages 97 - 99]
Choose the correct option.
The value of acceleration due to gravity is maximum at ________.
the equator of the Earth
the center of the Earth
the pole of the Earth
slightly above the surface of the Earth
Choose the correct option.
The weight of a particle at the center of the Earth is _______.
infinite
zero
same as that at other places
greater than at the poles
The gravitational potential due to the Earth is minimum at _______.
the center of the Earth
the surface of the Earth
points inside the Earth but not at its center.
infinite distance
Choose the correct option.
The binding energy of a satellite revolving around the planet in a circular orbit is 3 × 109 J. It's kinetic energy is ______.
6 × 109 J
–3 × 109 J
–6 × 10+9 J
3 × 10+9 J
Answer the following question.
State Kepler’s law of equal areas.
Answer the following question.
State Kepler’s law of the period.
Answer the following question.
What are the dimensions of the universal gravitational constant?
Answer the following question.
Define the binding energy of a satellite.
Answer the following question.
What do you mean by geostationary satellite?
Write the answer of the question with reference to laws of gravitation.
State the universal law of gravitation.
Define the escape velocity of a satellite.
Answer the following question.
What is the variation in acceleration due to gravity with altitude?
Answer the following question.
On which factors does the escape speed of a body from the surface of Earth depend?
Answer the following question.
As we go from one planet to another planet, how will the mass and weight of a body change?
Answer the following question.
What is periodic time of a geostationary satellite?
Answer the following question.
State Newton’s law of gravitation and express it in vector form.
What do you mean by a gravitational constant?
State its SI units of gravitational constant.
Answer the following question.
Why is a minimum two-stage rocket necessary for launching of a satellite?
State the conditions for various possible orbits of satellite depending upon the horizontal/tangential speed of projection.
Answer the following question in detail.
Derive an expression for the critical velocity of a satellite.
Answer the following question in detail.
State any four applications of a communication satellite.
Answer the following question in detail.
Show that acceleration due to gravity at height h above the Earth’s surface is `"g"_"h" = "g"("R"/"R + h")^2`
Draw a labelled diagram to show different trajectories of a satellite depending upon the tangential projection speed.
Derive an expression for the binding energy of a body at rest on the Earth’s surface of a satellite.
Answer the following question in detail.
Why an astronaut in an orbiting satellite has a feeling of weightlessness?
Answer the following question in detail.
Draw a graph showing the variation of gravitational acceleration due to the depth and altitude from the Earth’s surface.
Answer the following question in detail.
At which place on the Earth’s surface is the gravitational acceleration maximum? Why?
Answer the following question in detail.
At which place on the Earth’s surface is the gravitational acceleration minimum? Why?
Derive an expression for variation in gravitational acceleration of the Earth at with latitude.
Answer the following question.
Define the binding energy of a satellite.
Answer the following question in detail.
Obtain an expression for the binding energy of a satellite revolving around the Earth at a certain altitude.
Answer the following question in detail.
Obtain the formula for the acceleration due to gravity at the depth ‘d’ below the Earth’s surface.
Answer the following question in detail.
State Kepler’s three laws of planetary motion.
Answer the following question in detail.
State the formula for the acceleration due to gravity at depth ‘d’ and altitude ‘h’. Hence show that their ratio is equal to `(("R - d")/("R - 2h"))` by assuming that the altitude is very small as compared to the radius of the Earth.
Answer the following question in detail.
What is a critical velocity?
Answer the following question in detail.
Obtain an expression for the critical velocity of an orbiting satellite. On what factors does it depend?
Answer the following question in detail.
Show that acceleration due to gravity at height h above the Earth’s surface is `"g"_"h" = "g"("R"/"R + h")^2`
Answer the following question in detail.
Define escape speed.
Answer the following question in detail.
Derive an expression for the escape speed of an object from the surface of each.
Describe how an artificial satellite using a two-stage rocket is launched in an orbit around the Earth.
Answer the following question in detail.
At what distance below the surface of the Earth, the acceleration due to gravity decreases by 10% of its value at the surface, given the radius of Earth is 6400 km.
Answer the following question in detail.
If the Earth were made of wood, the mass of wooden Earth would have been 10% as much as it is now (without change in its diameter). Calculate escape speed from the surface of this Earth.
Calculate the kinetic energy, potential energy, total energy and binding energy of an artificial satellite of mass 2000 kg orbiting at a height of 3600 km above the surface of the Earth.
Given: G = 6.67 × 10-11 Nm2/kg2
R = 6400 km, M = 6 × 1024 kg
Answer the following question in detail.
Two satellites A and B are revolving round a planet. Their periods of revolution are 1 hour and 8 hour respectively. The radius of orbit of satellite B is 4 × 104 km. Find radius of orbit of satellite A.
Solve the following problem.
Find the gravitational force between the Sun and the Earth.
Given Mass of the Sun = 1.99 × 1030 kg
Mass of the Earth = 5.98 × 1024 kg
The average distance between the Earth and the Sun = 1.5 × 1011 m.
Solve the following problem.
Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 1024 kg, R = 6400 km).
Solve the following problem.
Calculate the speed of a satellite in an orbit at a height of 1000 km from the Earth’s surface.
(ME = 5.98 × 1024 kg, R = 6.4 × 106 m)
Solve the following problem.
Calculate the value of acceleration due to gravity on the surface of Mars if the radius of Mars = 3.4 × 103 km and its mass is 6.4 × 1023 kg.
A planet has mass 6.4 × 1024 kg and radius 3.4 × 106 m. Calculate the energy required to remove an object of mass 800 kg from the surface of the planet to infinity.
Solve the following problem.
Calculate the value of the universal gravitational constant from the given data. Mass of the Earth = 6 × 1024 kg, Radius of the Earth = 6400 km, and the acceleration due to gravity on the surface = 9.8 m/s2.
A body weighs 5.6 kg wt on the surface of the Earth. How much will be its weight on a planet whose mass is 7 times the mass of the Earth and radius twice that of the Earth’s radius?
Solve the following problem.
What is the gravitational potential due to the Earth at a point which is at a height of 2RE above the surface of the Earth?
(Mass of the Earth is 6 × 1024 kg, radius of the Earth = 6400 km and G = 6.67 × 10–11 N m2 kg–2)
Solutions for 5: Gravitation
Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 5 - Gravitation
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Concepts covered in Physics [English] 11 Standard Maharashtra State Board chapter 5 Gravitation are Introduction to Gravitation, Measurement of the Gravitational Constant (G), Variation in the Acceleration Due to Gravity with Altitude, Depth, Latitude and Shape, Gravitational Potential and Potential Energy, Earth Satellites, Kepler’s Laws, Newton’s Universal Law of Gravitation, Acceleration Due to Gravity (Earth’s Gravitational Acceleration).
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