Let \( \mathrm{E}_{1} \) and \( \mathrm{E}_{2} \) denotes magnitude of gravitational field at di...

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Let \( \mathrm{E}_{1} \) and \( \mathrm{E}_{2} \) denotes magnitude of gravitational field at distance \( r{ }_{1} \) and \( r{ }_{2} \) from axis of infinitely
P long solid cylinder of radius \( \mathrm{R} \) . Which of the

WV following must hold true :-
(1) \( \mathrm{E}_{1}\mathrm{E}_{2} \) if \( \mathrm{r}_{1}\mathrm{r}_{2}\mathrm{R} \)
(2) \( \mathrm{E}_{1}\mathrm{E}_{2} \) if \( \mathrm{R}\mathrm{r}_{1}\mathrm{r}_{2} \)
(3) \( \mathrm{E}_{1}\mathrm{E}_{2} \) if \( \mathrm{r}_{1}=\mathrm{R}-\mathrm{E}, \mathrm{r}_{2}=\mathrm{R}+\mathrm{E}(\mathrm{E} \) is positive constant \( \mathrm{R} \) )
(4) All of the above
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