A mass $m$ , travelling at speed $V_0$ in a straight line from far away is deflected when it passes near a black hole of mass $M$ which is at a perpendicular distance $R$ from the original line of flight. $a$ , the distance of closest approach between the mass and the black hole is given by the relation
A mass $m$ , travelling at speed $V_0$ in a straight line from far away is deflected when it passes near a black hole of mass $M$ which is at a perpendicular distance $R$ from the original line of flight. $a$ , the distance of closest approach between the mass and the black hole is given by the relation
- A
$a = R{\left( {1 + \frac{{2GM}}{{aV_0^2}}} \right)^{1/2}}$
- B
$a = R{\left( {1 + \frac{{aV_0^2}}{{2GM}}} \right)^{1/2}}$
- C
$a = R{\left( {1 + \frac{{GM}}{{2aV_0^2}}} \right)^{ - 1/2}}$
- D
$a = R{\left( {1 + \frac{{2GM}}{{aV_0^2}}} \right)^{ - 1/2}}$
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