2. Sample Papers
  3. NEET

NEET Sample Paper NEET Sample Test Paper-42

  • question_answer
    Infinite number of bodies, each of mass 2kg are situated on X-axis at distance 1m, 2m, 4m, 8m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be:

    A) -G                                

    B) \[-\frac{8G}{3}\]   

    C) \[-\frac{4G}{3}\]                       

    D) -4G

    Correct Answer: D

    Solution :

    gravitational potential \[=\frac{GM}{x}\]  \[V=\left[ -\frac{GM}{1}-\frac{GM}{2}-\frac{GM}{4}-\frac{GM}{8}-........\infty  \right]\] \[=-GM\frac{\left[ 1+\frac{1}{2}+\frac{1}{4}+........\infty  \right]}{Geometric\,\,Progression}\] In geometric progression \[{{\operatorname{S}}_{n}}=\left[ \frac{1-{{r}^{n}}}{1-r} \right]\] \[=-20\left[ \frac{1}{1-\frac{1}{2}} \right]=-4G\]


You need to login to perform this action.
You will be redirected in 3 sec spinner