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. | \(2R\) |
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 relation
For moon, its mass is \(\frac{1}{81}\) of Earth's mass and its diameter is \(\frac{1}{3.7}\) of Earth's diameter. If acceleration due to gravity at Earth's surface is \(9.8\) m/, then at the moon, its value is:
1. | \(2.86\) m/s2 | 2. | \(1.65\) m/s2 |
3. | \(8.65\) m/s2 | 4. | \(5.16\) m/s2 |
1. | \(\frac{2}{9}\) m | 2. | \(18\) m |
3. | \(6\) m | 4. | \(\frac{2}{3}\) m |
Two spheres of masses \(m\) and \(M\) are situated in air and the gravitational force between them is \(F.\) If the space around the masses is filled with a liquid of specific density \(3,\) the gravitational force will become:
1. \(3F\)
2. \(F\)
3. \(F/3\)
4. \(F/9\)
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)