Question 1 :
A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 1.01 R. The period of the second satellite is longer than that of the first by approximately.
Question 2 :
Gravitation on moon is $\dfrac{1}{6} th$ of that on earth. When a balloon filled with hydrogen is released on moon then this.
Question 3 :
Two planets of radii $r_1$ and $r_2$ are made from the same material.The ratio of the acceleration of gravity $\dfrac{g_1}{g_2}$at the surface of the two planets is-
Question 4 :
The acceleration due to gravity $g$ and density of the earth $p$ are related by which of the following relations? (Here $G$ is the gravitational constant and $R$ is the radius of the earth).
Question 6 :
What is the acceleration of a body when it is projected vertically upwards?<br>
Question 8 :
Planets A and B have same average density. Radius of A is twice that of B The ratio of acceleration due to gravity on the surface of A and B is
Question 9 :
A body of mass $m$ is lifted up from the surface of earth to a height three times the radius of the earth $R$.The change in potential energy of the body is<br>
Question 10 :
Consider Earth to be a homogeneous sphere. Scientist A goes deep down in a mine and scientist B goes high up in a balloon. The gravitational field measured by<br>
Question 11 :
Two planets $A$ and $B$ have the same material density. If the radius of $A$ is twice that of B, then the ratio of the escape velocity $\displaystyle \dfrac{V_A}{V_B}$ is
Question 12 :
Consider the satellites revolving round the earth at different heights.The ratio of their orbital speed is 3 : 2 .If one of them is at a height of 200 Km, the height of the other satellite is (Radius of the earth is R=6400 Km)
Question 13 :
An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth's surface. Total energy is always constant at any orbit. (Radius of the earth is $6400km$)<br>The height of the satellite above the Earth surface
Question 14 :
In order to shift a body of mass m from a circular orbit of radius $3R$ to a higher orbit of radius $5R$ around the earth, the work done is?
Question 15 :
The change in the value of $g$ at a height $h$ about the surface of the earth is the same as at a depth $d$ below the surface of earth. When both $d$ and $h$ are much smaller than the radius of earth, then which one of the following is correct?
Question 16 :
Two satellites of mass $m_1$ and $m_2 (m_1 > m_2) $ revolve round the earth in circular orbits of radii $r_1$ and $r_2$ respectively $(r_1 > r_2)$ Their speeds are related as
Question 17 :
A ball is dropped from a satellite revolving around the earth at height of $120$km. The ball will
Question 18 :
Assertion: Space rockets are usually launched in the equatorial line from west to east.
Reason: The acceleration due to gravity is minimum at the equator.
Question 19 :
Consider a satellite moving in a circular orbit around Earth. If K and V denote its kinetic energy and potential energy respectively, then(Choose the convention, where $V=0$ as $r\rightarrow \infty$)<br>
Question 20 :
At what height, is the value of <i>g </i>half that on the surface of earth? (R = radius of the earth)
Question 21 :
The weight of an object at the centre of the earth of radius R is<br>
Question 22 :
If $g$ is the acceleration due to gravity on the earth's surface, the gain of the potential energy of an object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth will be :
Question 23 :
Acceleration due to gravity at earth's surface is '$g$' m/s$^2$. Find the effective value of acceleration due to gravity at a height of $32 km$ from sea level :($R_e = 6400 km$).
Question 24 :
The height at which the value of acceleration due to gravity becomes 50% of that at the surface of the earth. (Radius of the earth = 6400 km) is:
Question 25 :
 Two satellites $A$ and $B$ move round the earth in the same orbit. The mass of $B$ is twice the mass of $A.$ Which of the following is correct?