Question
If a satellite orbits as close to the earth's surface as possible,

Answer

Speed of satellite $\alpha \frac{1}{\sqrt{r}}$ Speed will be maximum Time period

$\alpha r^{\frac{3}{2}}$ it will be minimum

Total Energy $=-\frac{G M m}{2 r}$

Total energy is minimum.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Consider an elliptically shaped rail $P Q$ in the vertical plane with $O P=3 \ m$ and $OQ =4 \ m$. A block of mass $1 \ kg$ is pulled along the rail from $P$ to $Q$ with a force of $18 \ N$, Which is always parallel to line $PQ$ (see the figure given). Assuming no frictional losses, the kinetic energy of the block when it reaches $Q$ is $(n \times 10)$ joules. The value of $n$ is (take acceleration due to gravity $=10 \ ms ^{-2}$ )
A parallel beam oflight is incident on a thin prism of prism angle of $\frac{4}{\pi }$ degrees. The refractive index of the prism is $1.5$. The focal length of the lens is $60\ cm$. The coordinates of converging point of the beam is
The refractive index of the material of a concave lens is $\mu $. It is immersed in a medium of refractive index $\mu _1$ . A parallel beam of light is incident on the lens. The path of the emergent rays when $\mu _1 > \mu $ is
An electron is moving in a circular path under the influence of a transverse magnetic field of $3.57 \times 10^{-2}\, T $. If the value of $e/m$ is  $1.76 \times 10^{11}\, C/kg $, the frequency of revolution of the electron is
An object of mass $1 \,kg$ moving on a horizontal surface with initial velocity $8 \,m / s$ comes to rest after $10 \,s$. If one wants to keep the object moving on the same surface with velocity $8 \,m / s$ the force required is ...... $N$
Four spheres of diameter $2a$ and mass $M$ are placed with their centres on the four corners of a square of side $b$ . Then the moment of inertia of the system about an axis along one of the sides of the square is
During the melting of a slab of ice at $273\, K$ at atmospheric pressure
A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the d isc. The insect now moves along a diameter of the disc to reach its other end . During the journey of the insect, the angular speed of the disc.
A man measures time period of a pendulum $(T)$ in stationary lift. If the lift moves upward with acceleration $\frac{g}{4},$ then new time period will be
A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K _1$ and $K _2$. For the frictionless surface, the time period of oscillation of mass $m$ is