Tag: physics

Kepler's Third Law of Planetary Motion states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit (T^2 proportional to r^3). Therefore, T1/T2 = (r1/r2)^(3/2).

Planets are like spheres. Volume of a sphere is given by, 
V = $\displaystyle{\frac{4}{3}\pi r^3}$ 
Let the r$ _1$, r$ _2$ be radii of the Jupiter and the Earth respectively. 
r$ _1$ $= 11r _2$ _(1)
Volume of Jupiter, V$ _1$ = $\displaystyle{\frac{4}{3}\pi r^3 _1}$ _(2) 
Volume of Earth, V$ _2$ = $\displaystyle{\frac{4}{3}\pi r^3 _2}$ _(3) 
$\displaystyle{\frac{(2)}{(3)} \Rightarrow \frac{V _1}{V _2} = \frac{\frac{4}{3}\pi r _1^3}{\frac{4}{3} \pi r _2^3} = \frac{r _1^3}{r _2^3}}$ 
$\displaystyle{\frac{V _1}{V _2} = \frac{r _1^3}{r _2^3} = \frac{(11r _2)^3}{r _2^3} = (11)^3}$ = 1331 
Jupiter can accommodate 1331 number of Earths within it.

Earth spins about its own axis from west to east. In another word earth turns counter clockwise direction as viewed from north pole.

On Astronomical unit is the mean distance between earth and sun.

As earth is rotating on its own axis so its half part is exposed to sun cause day at that part and hidden half part suffers from darkness called night.

As earth is rotating on its own axis from west to east so, due to relative motion star appears to move from east to west.

Ans : Venus

Planets that rotate rapidly experience a centrifugal force that causes them to bulge at the equator and flatten at the poles. Jupiter has a very fast rotation period, leading to this oblate shape.

Neptune takes maximum time to complete one revolution as it is the farthest planet.