If the gravitational field in the space is given as $$\left(-\frac{K}{r^{2}}\right)$$. Taking the reference point to be at $$\mathrm{r}=2 \mathrm{~cm}$$ with gravitational potential $$\mathrm{V}=10 \mathrm{~J} / \mathrm{kg}$$. Find the gravitational potential at $$\mathrm{r}=3 \mathrm{~cm}$$ in SI unit (Given, that $$\mathrm{K}=6 \mathrm{~Jcm} / \mathrm{kg}$$)
The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.
Two particles of equal mass '$$m$$' move in a circle of radius '$$r$$' under the action of their mutual gravitational attraction. The speed of each particle will be :
Match List I with List II
List I | List II | ||
---|---|---|---|
A. | Troposphere | I. | Approximate 65-75 km over Earth's surface |
B. | E-Part of Stratosphere | II. | Approximate 300 km over Earth's surface |
C. | F$$_2$$-Part of Thermosphere | III. | Approximate 10 km over Earth's surface |
D. | D-Part of Stratosphere | IV. | Approximate 100 km over Earth's surface |
Choose the correct answer from the options given below :