Tag: planets of the solar system

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Questions Related to planets of the solar system

Multiple choice physics our solar system planets of the solar system solar system and sun introduction to solar system

The mass of a planet Jupiter is $1.9 \times 10^{27} kg$ and that of the Sun is $1.99 \times 10^{30} kg$. The mean distance of the Sun from Jupiter is $7.8 \times 10^{11} m$. The gravitational force, which the Sun exerts on Jupiter is.

  1. $4.1 \times 10^{23} N$

  2. $4.1 \times 10^{34} N$

  3. $2.2 \times 10^{23} N$

  4. $2.2 \times 10^{34} N$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using Newton's Law of Universal Gravitation, F = G * (m1 * m2) / r^2. Plugging in G = 6.67e-11, m1 = 1.9e27, m2 = 1.99e30, and r = 7.8e11, the calculation yields approximately 4.1e23 N.

Multiple choice physics our solar system planets of the solar system solar system and sun introduction to solar system

Two plates move around the Sun. The periodic times and the mean radii of the orbits are $T _1, T _2$ and $r _1, r _2$ respectively. The ratio $\dfrac{T _1}{T _2}$ is equal to.

  1. $\left (\dfrac{r _1}{r _2} \right)^{\dfrac{1}{2}}$

  2. $\left (\dfrac{r _1}{r _2} \right)$

  3. $\left (\dfrac{r _1}{r _2} \right)^{2}$

  4. $\left (\dfrac{r _1}{r _2} \right)^{\dfrac{3}{2}}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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).

Multiple choice physics our solar system planets of the solar system solar system and sun introduction to solar system

The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate ? 

  1. 1331

  2. 1221

  3. 111

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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.

Multiple choice physics our solar system planets of the solar system solar system and sun introduction to solar system

Days and nights are caused by

  1. rotation of the Earth

  2. revolution of the Earth

  3. both rotation and revolution of the Earth

  4. neither rotation nor revolution of the Earth
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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.