Two bodies of masses -m- and 4 m are placed a distance -r- The gravitational potential a point on the line joining them where the gravitational field is zero is -zero-displaystyle frac-4mathrm-G-mathrm-m-mathrm-r-displaystyle frac-6mathrm-G-mathrm-m-mathrm-r-displaystyle frac-9mathrm-G-mathrm-m-mathrm-r-

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Given-Two masses m and 4m kept at a distance rLet gravitetional potential is zero at a point pGmx2-x2212-G-4m-r-x2212-x-2-01x-2-r-x2212-x-r-x2212-x-2x3x-rx-r-3Potential at point pV-x2212-4Gmm-2r-3-x2212-Gmm-r-3-V-x2212-Gm-6r-3r-x2212-9Gmr

Two bodies of masses m and 4 m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is :zero−4Gmr−6Gmr−9Gmr.

Given:Two masses m and 4m kept at a distance rLet gravitetional potential is zero at a point pGmx2−G(4m)(r−x)2=01x=2(r−x)r−x=2x3x=rx=r/3Potential at point pV=−4Gmm(2r/3)−Gmm(r/3)V=−Gm(6r+3r)=−9Gmr

Two bodies of masses $m$ and $4 m$ are placed at a distance $r .$ The gravitational potential at a point on the line joining them where the gravitational field is zero is :
$z e r o$
$- \frac{4 G m}{r}$
$- \frac{6 G m}{r}$
$- \frac{9 G m}{r}$ .