মহাকর্ষীয় প্রাবল্য ও বিভব

Taking the gravitational potential at a point infinitely far away as zero, the gravitational potential at a point AA is 5-5 unit. If the gravitational potential at a point infinitely away is taken as +10+10 units, the potential at a point AA is

হানি নাটস

The gravitational potential VV at a point distance r'r' from a body a mass mm is equal to the amount of work done in moving a unit mass from infinity to that point

VrV=rEˉ.d;rˉ=GM(1/r1/)\displaystyle V_r-V_\infty =-\int_{\infty}^{r} \bar{E}.d ;\bar{r}=-GM (1/r-1/ \infty)

(i)(i)   In the first case

    when V=0,Vr=GMr=5\displaystyle V_{\infty}=0, V_{r}=\frac {-GM}{r}= -5 unit

(ii)(ii)   In the second case V=+10V_{\infty}=+10 unit

     Vr10=5\displaystyle V_{r}-10=-5

or  Vr=+5\displaystyle V_{r}=+5 unit

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