- 1(current)
Q. No.If the angular momentum of a planet of mass \({m},\) moving around the sun in a circular orbit is \(L\) about the center of the sun, its areal velocity is:
1. \({ \dfrac L m}\)
2. \( \dfrac {4L} {m}\)
3. \(\dfrac L {2m}\)
4. \({ \dfrac {2L} m}\)
1. \({ \dfrac L m}\)
2. \( \dfrac {4L} {m}\)
3. \(\dfrac L {2m}\)
4. \({ \dfrac {2L} m}\)
Subtopic: Â Kepler's Laws |
From NCERT
JEE
Please attempt this question first.
Hints
A planet revolving in an elliptical orbit has:
| (A) | A constant velocity of revolution. |
| (B) | Has the least velocity when it is nearest to the Sun. |
| (C) | Its areal velocity is directly proportional to its velocity. |
| (D) | Areal velocity is inversely proportional to its velocity. |
| (E) | To follow a trajectory such that the areal velocity is constant. |
Choose the correct option from the given ones:
| 1. | (A) only |
| 2. | (D) only |
| 3. | (C) only |
| 4. | (E) only |
Subtopic: Â Kepler's Laws |
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
The distance between Sun and Earth is \(R\). The duration of the year if the distance between Sun and Earth becomes \(3R\) will be:
1. \(\sqrt {3}\) years
2. \(3\) years
3. \(9\) years
4. \(3\sqrt{3}\) years
1. \(\sqrt {3}\) years
2. \(3\) years
3. \(9\) years
4. \(3\sqrt{3}\) years
Subtopic: Â Kepler's Laws |
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
Two satellites \(S_{1}\) and \(S_{2}\) are revolving in circular orbits around a planet with radius \(R_1=3200~\text{km}\) and \(R_2=800~\text{km}\) respectively. The ratio of the speed of the satellite \(S_{1}\) to the speed of the satellite \(S_{2}\) in their respective orbits would be:
1. \(\dfrac{1}{2}\)
2. \(\dfrac{1}{3}\)
3. \(\dfrac{1}{4}\)
4. \(\dfrac{2}{3}\)
1. \(\dfrac{1}{2}\)
2. \(\dfrac{1}{3}\)
3. \(\dfrac{1}{4}\)
4. \(\dfrac{2}{3}\)
Subtopic: Â Kepler's Laws |
 58%
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
Two planets \(A\) and \(B\) of equal masses are having their periods of revolution \(T_{A}\) and \(T_{B}\) such that \(T_{A}=2 {T}_{B}\). These planets are revolving in the circular orbits of radii \({r}_{A}\) and \(r_{B}\) respectively. Which of the following would be the correct relationship of their orbits?
1. \(2 r_{A}^2=r_{B}^2 \)
2. \(r_{A}^3=2 r_{B}^3 \)
3. \(r_{A}^3=4{r}_{B}^3 \)
4. \(T_{A}^2-{T}_{B}^2=\dfrac{\pi^2}{GM}\left({r}_{B}^3-4 {r}_{A}^3\right)\)
1. \(2 r_{A}^2=r_{B}^2 \)
2. \(r_{A}^3=2 r_{B}^3 \)
3. \(r_{A}^3=4{r}_{B}^3 \)
4. \(T_{A}^2-{T}_{B}^2=\dfrac{\pi^2}{GM}\left({r}_{B}^3-4 {r}_{A}^3\right)\)
Subtopic: Â Kepler's Laws |
 78%
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
The time period of a satellite revolving around the Earth in a given orbit is \(7\) hours. If the radius of the orbit is increased to three times its previous value, then the approximate new time period of the satellite will be:
1. \(40\) hours
2. \(36\) hours
3. \(30\) hours
4. \(25\) hours
1. \(40\) hours
2. \(36\) hours
3. \(30\) hours
4. \(25\) hours
Subtopic: Â Kepler's Laws |
 79%
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
Consider the following statements:
Choose the incorrect statement from the given ones:
1. (A) only
2. (B) only
3. (C) only
4. (D) only
| (A) | Planets revolve around the Sun with constant linear speed. |
| (B) | The energy of a planet in an elliptical orbit is constant. |
| (C) | A satellite in circular motion has constant energy. |
| (D) | A body falling towards the Earth results in negligible displacement of the Earth. |
1. (A) only
2. (B) only
3. (C) only
4. (D) only
Subtopic: Â Kepler's Laws |
 67%
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
A planet at a distance \(r\) from the sun takes \(200\) days to complete one revolution around the sun. What will be time period for a planet at distance \( \frac{r}{4}\) from the sun?
1. \(50\) days
2. \(25\) days
3. \(100\) days
4. \(12.5\) days
1. \(50\) days
2. \(25\) days
3. \(100\) days
4. \(12.5\) days
Subtopic: Â Kepler's Laws |
From NCERT
JEE
Please attempt this question first.
Hints
Please attempt this question first.
Two planets \(\text{A}\) and \(\text{B}\) having masses \(\mathrm{m_1}\) and \(\mathrm{m_2}\) move around the sun in circular orbits of \(\mathrm{r_1}\) and \(\mathrm{r_2}\) radii respectively. If angular momentum of \(\text{A}\) is \(\text{L}\) and that of \(\text{B}\) is \(\text{3L},\) the ratio of time period \(\mathrm{(T_A/T_B)}\) is:
1. \(\mathrm{\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3}\)
2. \(\mathrm{\left(\frac{r_1}{r_2}\right)^3}\)
3. \(\mathrm{\left(\frac{r_1}{r_2}\right)^{3\over 2}}\)
4. \(\mathrm{27\left(\frac{m_1}{m_2}\right)^3}\)
1. \(\mathrm{\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3}\)
2. \(\mathrm{\left(\frac{r_1}{r_2}\right)^3}\)
3. \(\mathrm{\left(\frac{r_1}{r_2}\right)^{3\over 2}}\)
4. \(\mathrm{27\left(\frac{m_1}{m_2}\right)^3}\)
Subtopic: Â Kepler's Laws |
JEE
Please attempt this question first.
Hints
- 1(current)
Q. No.
© 2025 GoodEd Technologies Pvt. Ltd.