A) \[\frac{4}{3}G\pi \rho \vec{\ell }\]
B) \[\frac{1}{3}G\pi \rho \vec{\ell }\]
C) \[\frac{2}{3}G\pi \rho \vec{\ell }\]
D) \[\frac{1}{2}G\pi \rho \vec{\ell }\]
Correct Answer: A
Solution :
[a] For calculation of gravitational field intensity inside the cavity. \[{{\vec{I}}_{1}}=\frac{G\left( \frac{4}{3}\pi {{R}_{1}}^{3} \right)\rho \left( -{{{\vec{r}}}_{1}} \right)}{{{R}_{1}}^{3}}\] \[{{\vec{I}}_{2}}=\frac{G\left( \frac{4}{3}\pi {{R}_{2}}^{3} \right)\rho \left( -{{{\vec{r}}}_{2}} \right)}{{{R}_{2}}^{3}}\] \[\vec{I}={{\vec{I}}_{1}}-{{\vec{I}}_{2}}\](\[\vec{I}-\] intensity inside the cavity)You need to login to perform this action.
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