A spherical asteroid having the same density as that of earth is floating in free space. A small pebble is revolving around the asteroid under the influence of gravity near the surface of the asteroid. What is the approximate time period of the pebble?
$24\ h$
$365\ days$
$10\ min$
$1\ hr\ 24\ min$
The time period of a satellite revolving around earth in a given orbit is $7 \,hours$. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be ...... $hours$
Remote sensing satellites move in an orbit that is at an average height of about $500 \,km$ from the surface of the earth. The camera onboard one such satellite has a screen of area $A$ on which the images captured by it are formed. If the focal length of the camera lens is $50 \,cm$, then the terrestrial area that can be observed from the satellite is close to ............... $A$
Three equal mass satellites $A, B,$ and $C$ are in coplanar orbits around a planet as shown in the figure. The magnitudes of the angular momenta of the satellites as measured about the planet are $L_A, L_B$, and $L_C$. Which of the following statements is correct?
The mean radius of the earth's orbit round the sun is $1.5 \times 10^{11}.$ The mean radius of the orbit of mercury round the sun is $6 \times10^{10}\,m.$ The mercury will rotate around the sun in
A comet orbits the sun in a highly elliptical orbit. Does the comet have a constant $(a)$ linear speed, $(b)$ angular speed, $(c)$ angular momentum, $(d)$ kinetic energy, $(e)$ potential energy, $(f)$ total energy throughout its orbit? Neglect any mass loss of the comet when it comes very close to the Sun.