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Question 11 Mark
What is the angle between the equatorial plane and the orbital plane of Polar satel lite?
Answer
The polar satellite revolves along North to South pole. So its plane makes 90 0 with equatorial plane.
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Question 21 Mark
The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.
Answer
Let us consider the diagram of spherical shell having uniform density (p). $\text{M}=(\text{p})\times\frac{4}{3}\pi\text{R}^3$ Therefore, gravitational force between hollow shell and point mass is$\text{F}=\frac{\text{GMm}}{\text{r}^2}$
where M is the mass of the hollow spherical shell and m is the mass of point mass.Therefore, the mass is distributed on the surface of the sphere only, then F = 0 for $0<\text{r}<\text{R}$ (i.e., force inside the shell is zero)
And $\text{F}=\frac{\text{GM}}{\text{r}^2}$ for $\text{r}>\text{R}$
The variation of F versus r is shown in the diagram. Force is maximum at the surface of shell and it is zero if r tends to infinity.
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Question 31 Mark
What is the angle between the equatorial plane and the orbital plane of Geostationary satel lite?
Answer
Geostationary satel lite revolves in west to east direction along the equatorial plane. So the angle between geostationary and equatorial plane is zero.
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