The magnitudes of the gravitational field at distance r 1 and r 2 from the centre of a…

Physics · JEE Advanced · NTA Exams — Gravitation

The magnitudes of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively. Then
  1. \(\frac{F_{1}}{F_{2}}=\frac{r_{1}}{r_{2}} \text { if } r_{1}
  2. \(\frac{F_{1}}{F_{2}}=\frac{r_{2}^{2}}{r_{1}^{2}} \text { if } r_{1}>R \text { and } r_{2}>R\)
  3. \(\frac{F_{1}}{F_{2}}=\frac{r_{1}}{r_{2}} \text { if } r_{1}>R \text { and } r_{2}>R\)
  4. \(\frac{F_{1}}{F_{2}}=\frac{r_{1}^{2}}{r_{2}^{2}} \text { if } r_{1}

Answer

(A) F_ 1 F_ 2 = r_ 1 r_ 2 if r_ 1 <R and r_ 2 <R, (B) F_ 1 F_ 2 = r_ 2 ^ 2 r_ 1 ^ 2 if r_ 1 >R and r_ 2 >R

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