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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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We can shield a charge from electric fields by putting it inside a hollow conductor. Can we shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means ?

Two non-conducting solid spheres of radii R and 2R, having uniform volume charge densities rho_1 and rho_2 respectively, touch each other. The net electric field at a distance 2R from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio rho_1/rho_2 can be

An accelration produces a narrow beam of protons, each having an initial speed of v_(0) . The beam is directed towards an initially uncharges distant metal sphere of radius R and centered at point O. The initial path of the beam is parallel to the axis of the sphere at a distance of (R//2) from the axis, as indicated in the diagram. The protons in the beam that collide with the sphere will cause it to becomes charged. The subsequentpotential field at the accelerator due to the sphere can be neglected. The angular momentum of a particle is defined in a similar way to the moment of a force. It is defined as the moment of its linear momentum, linear replacing the force. We may assume the angular momentum of a proton about point O to be conserved. Assume the mass of the proton as m_(P) and the charge on it as e. Given that the potential of the sphere increases with time and eventually reaches a constant velue. The limiting electric potential of the sphere is

A great physicist of this century (P.A.M. Dirac) loved playing with numerical values of Fundamental constants of nature. This led him to an interesting observation. Dirac found that from the basic constants of atomic physics(c,e, mass of electron, mass of proton) and the gravitational constant G, he could arrive at a number with the dimension of time. Further, it was a very large number, its magnitude being close to the present estimate on the age of the universe (~ 15 billion years). From the table of fundamental constants in this book, try to see if you too can construct this number (or any other interesting number you can think of ). If its coincidence with the age of the universe were significant , what would this imply for the constancy of fundamental constants ?

Answer carefully: (a) Two large conducting spheres carrying charges Q_(1) and Q_(2) are brought close to each other. Is the magnitude of electrostatic force between them exactly given by Q_(1),Q_(2)//4pi epsilon_(0)r^(2) , where r is the distance between their centres? (b) If Coulomb’s law involved 1//r^(3) dependence (instead of would Gauss’s 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).

You may have seen in a circus a motorcyclist driving in vertical loops inside a ‘deathwell’ (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the uppermost point with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m

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

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  10. If the zero of potential energy is at infinity, the total energy of an...

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  11. The energy required to launch an orbiting satellite out of earth’s gra...

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

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

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

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

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

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

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

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  19. A body weighs 63 N on the surface of the earth. What is the gravitatio...

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  20. Assuming the earth to be a sphere of uniform mass density, how much wo...

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