Match List I with List II :
| LIST I | LIST II | ||
|---|---|---|---|
| A. | Kinetic energy of planet | I. | $$ -\mathrm{GMm} / \mathrm{a} $$ |
| B. | Gravitation Potential energy of sun-planet system | II. | $$ \mathrm{GMm} / 2 \mathrm{a} $$ |
| C. | Total mechanical energy of planet | III. | $$ \frac{\mathrm{Gm}}{\mathrm{r}} $$ |
| D. | Escape energy at the surface of planet for unit mass object | IV. | $$ -\mathrm{GMm} / 2 \mathrm{a} $$ |
(Where $$\mathrm{a}=$$ radius of planet orbit, $$\mathrm{r}=$$ radius of planet, $$\mathrm{M}=$$ mass of Sun, $$\mathrm{m}=$$ mass of planet)
Choose the correct answer from the options given below :
A $$90 \mathrm{~kg}$$ body placed at $$2 \mathrm{R}$$ distance from surface of earth experiences gravitational pull of :
($$\mathrm{R}=$$ Radius of earth, $$\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}$$)
Correct formula for height of a satellite from earths surface is :
A metal wire of uniform mass density having length $$L$$ and mass $$M$$ is bent to form a semicircular arc and a particle of mass $$\mathrm{m}$$ is placed at the centre of the arc. The gravitational force on the particle by the wire is :
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