Two particles of masses $4 k g$ and $8 k g$ are kept at $x = - 2 m$ and $x = 4 m$ respectively. Then, the gravitational field intensity at the origin is:

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G/2

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G/4

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Solution

The correct option is C G/2

Gravitational field intensity at $o, I$ .
$=$ Net force experienced by a unit mass at $O$ .
$I = \frac{G M_{1} \times 1}{{r_{1}}^{2}} - \frac{G M_{2} \times 1}{{r_{2}}^{2}} \Rightarrow \frac{G .8}{16} - \frac{G .4}{4}$
$\Rightarrow - \frac{G}{2}$ (negative means the direction)

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Two particles of masses 4kg and 8kg are kept at x=−2m and x=4m respectively. Then, the gravitational field intensity at the origin is:

The correct option is C G/2Gravitational field intensity at o,I.=Net force experienced by a unit mass at O.I=GM1×1r12−GM2×1r22⇒G.816−G.44⇒−G2 (negative means the direction)

Two particles of masses $4 k g$ and $8 k g$ are kept at $x = - 2 m$ and $x = 4 m$ respectively. Then, the gravitational field intensity at the origin is: