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Two bodies of masses `M_(1)` and `M_(2)` are kept separeated by a distance d. The potential at the point where the gravitational field produced by them is zero, is :-A. `-(G)/(d)(M_(1)+M_(2)+2sqrt(M_(1)M_(2)))`B. `-(G)/(d)(M_(1)M_(2)+2sqrt(M_(1)+M_(2)))`C. `-(G)/(d)(M_(1)-M_(2)+2sqrt(M_(1)M_(2)))`D. `-(G)/(d)(M_(1)M_(2)-2sqrt(M_(1)+M_(2)))` |
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Answer» Correct Answer - A `(GM_(1))/(x^(2))=(GM_(2))/((d-x)^(2))rArr(d-x)/(x)=sqrt((M_(2))/(M_(1))` `rArr(d)/(x)=1+sqrt(M_(2))/(M_(1))rArrx=(sqrt(M_(1)d))/(sqrt(M_(1))+sqrt(M_(2)))` Now potential `=-(GM_(2))/(x)-(GM_(2))/(d-x)` `=(-G)/(d)(sqrt(M_(1))+sqrt(M_(2)))^(2)` |
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