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You can shled a charge from electrical f...

You can shled a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means ?

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a solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass m is placed on the line joining the two centers as a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if a). rltxlt2r , b). 2rltxlt2R and c). xgt2R .

Read the following paragraph carefully and answer the following question . If the heat is exchanged between a hot and cold object, the temperature of the cold object goes on increasing due to gain of energy and the temperature of the hot object goes on decreasing due to loss of energy . The change in temperature continues till the temperatures of both the the object attain the same value . In the process, the cold object gains heat energy and the hot object lose heat energy . If the system of both the object is isolated from the environment by keeping it inside a heat resistance box ( meaning that the energy exchange takes place between the two object only), then no energy can flow from inside the box or come into the box. How will you state the principle briefly ?

Take a small stone. Hold it in your hand. We know that the force gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying on it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands the only force that acts on it is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due to acceleration due to gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object and a buoyant force also acts on the object. Thus, true free fall is possible only in vacuum. For a freely falling object, the velocity on reaching the earth and the time taken for it can be calculated by using Newton's equations of motion. For free fall the initial velocity u=0 and the acceleration a=g . Thus, we can write the equations as v="gt",s=1/2"gt"^(2),v^(2)=2gs For calculating the motion of an object thrown upwards, acceleration is negative, i.e. in a direction opposite to the velocity and is taken to be -g. The magnitude of g is the same but the velocity of the object decreases due to -ve acceleration. The moon and the artificial satellites are moving only under the influence of the gravitational field of the earth. Thus they are in free fall. Which force acts on the stone in free fall after you release it?

Electric field lines are a pictorial representation of the electric field around charges. A. State Gauss's Law in Electrostatics. B. Using this law derive an expression for the electric field intensity due to a uniformly charged thin spherical shell at a point. i. Outside the shell ii. Inside the shell C. Suppose that you are in a cave deep withing the earth. Are you safe from thunder and lighting? Why?

Two large conducting spheres carrying charges Q_1, and Q_2, are brought close to each other. Is the magnitude of electrostatic force between theme exactly given by (Q_1Q_2)/(4pi epsi_(0) r^(2)) , where r is the distance between their centres? b. If Coulomb's law involved 1/r^(3) dependence ("instead of "1/r^2), would Gauss law be still true? c. A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point? d. What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical? e. We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there? f. What meaning would you give to the capacitance of a single conductor? g. Guess a possible reason why water has a much greater dielectric constant (=80) than say, mica (= 6).

A particle of mass 1 g and charge 2. 5 xx10^(-4) C is released from rest in an electric field of 1.2 xx 10^4 NC^(-1) (a) Find the electric force and the force of gravity acting on this particle. Can one of these forces be neglected in comparison with the other for approximate analysis? (b) How long will it take for the particle to travel a distance of 40 cm? (c) What will be the speed of the particle after travelling this destance? (d) how much is the work done by electric force on the particle during this period?

Answer the following questions . a. The earth's magnetic field varies from point is space. Does it also change with time ? It so , on what time scate does it change appreciably ? b. The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism why ? c. The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism . What might be the ' battery ' (i.e., the source of energy) to sustain these currents ? d. The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past ? e. The earth's field departs from its dipole substantially at large distances (greater than about 30,000 km) what agencies may be responsible for this distortion ? f. Interstellar space has an extremely weak magnetic field of the order of 10^(-12) T, Can such a weak field be of any significant consequence ? Explain. [Note : Exercise 2 is meant mainly to arouse your curiosity . Answers to some question above are tentative or unknown . Brief answers wherever possible are given at the end . For details , you should consult a good text on geomagnetism.]

NCERT TAMIL-GRAVITATION-EXERCISES
  1. You can shled a charge from electrical forces by putting it inside a h...

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  2. An astronaut inside a small space ship orbiting around the earth canno...

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  3. If you compare the gravitational force on the earth due to the sun to ...

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  4. Acceleration due to gravity increases/decreases with increasing altitu...

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  5. Acceleration due to gravity increases/decreases with increasing depth ...

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  6. Acceleration due to gravity is independent of mass of the earth/mass o...

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  7. The formula –G Mm(1//r(2) – 1//r(1)) is more/less accurate than the f...

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  8. Suppose there existed a planet that went around the Sun twice as fast ...

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  9. Io, one of the satellites of Jupiter, has an orbital period of 1.769 d...

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  10. Let us assume that our galaxy consists of 2.5 × 10^(11) stars each of ...

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  11. The kinetic energy of a satellite is 2 MJ. What is the total energy of...

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  12. The energy required to remove an electron in a hydrogen atom from n=10...

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  13. Does the escape speed of a body from the earth depend on (a) the mass ...

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  14. A comet orbits the sun in a highly elliptical orbit. Does the comet ha...

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  15. Which of the following symptoms is likely to afflict an astronaut in s...

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  16. In the following two exercises, choose the correct answer from among t...

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  17. For the above problem, the direction of the gravitational intensity at...

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  18. A rocket is fired from the earth towards the sun. At what distance fro...

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  19. How will you ‘weigh the sun’, that is estimate its mass? The mean orbi...

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  20. A saturn year is 29.5 times the earth year. How far is the saturn from...

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