The time period of a satellite of earth is $5$ hours. If the separation between the earth and the satellite is increased to four times the previous value, the new time period will become ……… $hours$

A planet moves around the sun. At a given point $P$, it is closest from the sun at a distance ${d_1}$ and has a speed ${v_1}$. At another point $ Q$, when it is farthest from the sun at a distance ${d_2}$, its speed will be

The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun

A body revolved around the sun $27$ times faster then the earth what is the ratio of their radii

Mean solar day is the time interval between two successive noon when sun passes through zenith point (meridian). Sidereal day is the time interval between two successive transit of a distant star through the zenith point (meridian). By drawing appropriate diagram showing the earth's spin and orbital motion, show that mean solar day is $4\,\min$ longer than the sidereal day. In other words, distant stars would rise $4\,\min$ early every successive day