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Gravitation — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsGravitation3 Marks
Question
Satellite A is in a certain circular orbit about a planet, while satellite B is in a larger circular orbit. Which satellite has (i) the longer period and (ii) the greater speed?
✓

Answer

  1. $\text{T}=2\pi\sqrt{\frac{\text{r}}{\text{GM}}}$

$\therefore\text{larger}\ '\text{r}',\text{larger }\text{T}$

$\therefore$ Satellite B has longer period.

  1. $\text{v}_{\text{o}}=\sqrt{\frac{\text{GM}}{\text{r}}},\text{lesser r,} \text{more }\text{v}_{\text{o}}$

$\therefore$ Satellite A has greater speed.

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