InterviewSolution
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InterviewSolution
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Figure shows a system of point masses placed on X-axis. Find the net gravitational field intensity at the origin Take sum of an infinite GP as `S = (a)/(1-r)` where a= first term and r = Least common ratio. |
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Answer» Net gravitational field intensity at the origin, `E_("net")=E_(1)+E_(2)+E_(3)+E_(4)+....infty` terms `=(GM)/((1)^(2))hat(i)+(GM)/((2)^(2))hat(i)+(GM)/((4)^(2))hat(i)+.....infty` terms `=GM hat(i)(1+(1)/(4)+(1)/(16)+....infty)" "("Here", a=1 and r=(1)/(4))` So, `E_("net")=GM((a)/(1-r))hat(i)=GM hat(i)((1)/(1-1//4))=GMhat(i)((1)/(3//4))` `rArr E_("net") =(4)/(3)GM hat(i)`. |
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