a. | all three of Kepler’s laws would still be valid |
b. | only the third law would be valid |
c. | the second law would not change |
d. | the first law would still be valid |
Which of the above statements is/are correct?
1. (a), (b), (c)
2. (a), (d)
3. (b), (c), (d)
4. (a), (c), (d)
1. | will be elliptical. |
2. | will not be strictly elliptical because the total gravitational force on it is not central. |
3. | is not elliptical but will necessarily be a closed curve. |
4. | deviates considerably from being elliptical due to the influence of planets other than the earth. |
1. | will be directed towards the centre but not the same everywhere. |
2. | will have the same value everywhere but not directed towards the centre. |
3. | will be the same everywhere in magnitude directed towards the centre. |
4. | cannot be zero at any point. |
1. | \(\dfrac R {n^2}\) | 2. | \(\dfrac {R~(n-1)} n\) |
3. | \(\dfrac {Rn} { (n-1)}\) | 4. | \(\dfrac R n\) |
1. | \(v_o=v_e\) | 2. | \(v_e=\sqrt{2v_o}\) |
3. | \(v_e=\sqrt{2}~v_o\) | 4. | \(v_o=\sqrt{2}~v_e\) |
1. | \(g' = 3g\) | 2. | \(g' = 9g\) |
3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |
1. | \(11.2\) km/s | 2. | \(22.4\) km/s |
3. | \(5.6\) km/s | 4. | \(44.8\) km/s |
The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R,\) the radius of the planet would be:
1. | \(4R\) | 2. | \(\frac{1}{4}R\) |
3. | \(\frac{1}{2}R\) | 4. | \(2R\) |
The universal gravitational constant is dimensionally represented as:
1. \(\left[ML^2T^{-1}\right]\)
2. \(\left[M^{-2}L^3T^{-2}\right]\)
3. \(\left[M^{-2}L^2T^{-1}\right]\)
4. \(\left[M^{-1}L^3T^{-2}\right]\)
Rohini satellite is at a height of \(500\) km and Insat-B is at a height of \(3600\) km from the surface of the earth. The relation between their orbital velocity (\(v_R,~v_i\)) is:
1. \(v_R>v_i\)
2. \(v_R<v_i\)
3. \(v_R=v_i\)
4. no specific relation