Physics
Mechanics
Easy
Question
The distance of Neptune and Saturn from the Sun are respectively 
and 
meters and their periodic times are respectively 
and 
If their orbits are circular, then the value of 
is
- 10
The correct answer is:
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Physics
A satellite is revolving around the earth in a circular orbit of radius a with velocity . A particle is projected from the satellite in forward direction with relative velocity 
. During the subsequent motion of the particle, match the following:
Column I
Column II
i. Total energy of particle
a.
ii. Minimum distance of particle from the earth
b. 
iii. Maximum distance of particle from the earth
c. 
d. 2a
e. 2 a/3
f. a
|
Column I |
Column II |
| i. Total energy of particle |
a. |
| ii. Minimum distance of particle from the earth |
b. |
| iii. Maximum distance of particle from the earth |
c. |
| |
d. 2a |
| |
e. 2 a/3 |
| |
f. a |
A satellite is revolving around the earth in a circular orbit of radius a with velocity . A particle is projected from the satellite in forward direction with relative velocity . During the subsequent motion of the particle, match the following:
Column I
Column II
i. Total energy of particle
a.
ii. Minimum distance of particle from the earth
b.
iii. Maximum distance of particle from the earth
c.
d. 2a
e. 2 a/3
f. a
|
Column I |
Column II |
| i. Total energy of particle |
a. |
| ii. Minimum distance of particle from the earth |
b. |
| iii. Maximum distance of particle from the earth |
c. |
| |
d. 2a |
| |
e. 2 a/3 |
| |
f. a |
PhysicsMechanics
Physics
Let V and E denote the gravitational potential and gravitational field, respectively, at a point due to certain uniform mass distribution described in four different situations of Column I. Assume the gravitational potential at infinity to be zero. The values of E and V are given in Column II Match the statement in column I with the results in Column II.
|
Column I |
Column II |
| i. At the centre of thin spherical shell |
a. E = 0 |
| ii. At the centre of solid sphere |
b. E ≠ 0 |
| iii. A solid sphere has a non-concentric spherical cavity. At the centre of the spherical cavity |
c. V ≠ 0 |
| iv. At the centre of the joining two point masses of equal magnitude |
d. V = 0 |
Let V and E denote the gravitational potential and gravitational field, respectively, at a point due to certain uniform mass distribution described in four different situations of Column I. Assume the gravitational potential at infinity to be zero. The values of E and V are given in Column II Match the statement in column I with the results in Column II.
|
Column I |
Column II |
| i. At the centre of thin spherical shell |
a. E = 0 |
| ii. At the centre of solid sphere |
b. E ≠ 0 |
| iii. A solid sphere has a non-concentric spherical cavity. At the centre of the spherical cavity |
c. V ≠ 0 |
| iv. At the centre of the joining two point masses of equal magnitude |
d. V = 0 |
PhysicsMechanics
Physics
Paragraph
A frictionless tunnel is dug along a chord of the earth of at a perpendicular distance R/2 from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel.
Time period of oscillation of the object is
Paragraph
A frictionless tunnel is dug along a chord of the earth of at a perpendicular distance R/2 from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel.
Time period of oscillation of the object is
PhysicsMechanics
Physics
Paragraph
A frictionless tunnel is dug along a chord of the earth of at a perpendicular distance R/2 from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel.
The correct graph, showing the variation of magnitude of acceleration of object with its distance from centre of earth is
Paragraph
A frictionless tunnel is dug along a chord of the earth of at a perpendicular distance R/2 from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel.
The correct graph, showing the variation of magnitude of acceleration of object with its distance from centre of earth is
PhysicsMechanics
Physics
Gravitational force is a conservative and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational field in vector and scalar form respectively. Actually gravitational field intensity is equal to the negative of the potential gradient. Potential energy is defined for only conservative force. It is also equal the total energy in escaping condition. Gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force, if potential at infinity is taken zero.
Gravitational potential V versus distance r graph is represented in figure. The magnitude of gravitational field intensity is equal to
Gravitational force is a conservative and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational field in vector and scalar form respectively. Actually gravitational field intensity is equal to the negative of the potential gradient. Potential energy is defined for only conservative force. It is also equal the total energy in escaping condition. Gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force, if potential at infinity is taken zero.
Gravitational potential V versus distance r graph is represented in figure. The magnitude of gravitational field intensity is equal to
PhysicsMechanics
Physics
Gravitational force is a conservative and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational field in vector and scalar form respectively. Actually gravitational field intensity is equal to the negative of the potential gradient. Potential energy is defined for only conservative force. It is also equal the total energy in escaping condition. Gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force, if potential at infinity is taken zero.
A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves with a speed of 2 m/s as it reaches A. The work done by the person on the mass is -3J. The potential of A is
Gravitational force is a conservative and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational field in vector and scalar form respectively. Actually gravitational field intensity is equal to the negative of the potential gradient. Potential energy is defined for only conservative force. It is also equal the total energy in escaping condition. Gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force, if potential at infinity is taken zero.
A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves with a speed of 2 m/s as it reaches A. The work done by the person on the mass is -3J. The potential of A is
PhysicsMechanics
Physics
The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is the radius of the earth and Mis the mass of the earth.
The radius of curvature at the point of minimum distance is
The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is the radius of the earth and Mis the mass of the earth.
The radius of curvature at the point of minimum distance is
PhysicsMechanics
Physics
Paragraph
The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is the radius of the earth and Mis the mass of the earth.
The minimum and maximum speeds are
Paragraph
The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is the radius of the earth and Mis the mass of the earth.
The minimum and maximum speeds are
PhysicsMechanics
Physics
A string is holding a solid block below the surface of the liquid as shown in figure. Now if the system is given an upward constant acceleration a, then as compared to previous state.
A string is holding a solid block below the surface of the liquid as shown in figure. Now if the system is given an upward constant acceleration a, then as compared to previous state.
PhysicsMechanics
Physics
A double star is a system of two stars of masses m and 2 m. rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to
A double star is a system of two stars of masses m and 2 m. rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to
PhysicsMechanics
Physics
If both the mass and radius of the earth decrease by 1%, the value of
If both the mass and radius of the earth decrease by 1%, the value of
PhysicsMechanics
Physics
A small mass m is moved slowly from the surface of the earth to a height h above the surface. The work done (by an external agent) in doing this is
A small mass m is moved slowly from the surface of the earth to a height h above the surface. The work done (by an external agent) in doing this is
PhysicsMechanics
Physics
A particle of mass m is thrown in a parabolic path towards earth having mass M and radius R. It comes to a greatest approach distance R/2 from surface of earth. Magnitude of total energy change required to make the particle moving in an elliptical path having eccentricity ½ with the greatest approach point either aphelion or perihelion are
A particle of mass m is thrown in a parabolic path towards earth having mass M and radius R. It comes to a greatest approach distance R/2 from surface of earth. Magnitude of total energy change required to make the particle moving in an elliptical path having eccentricity ½ with the greatest approach point either aphelion or perihelion are
PhysicsMechanics
Physics
If a body is projected with a speed lesser than escape velocity, then
If a body is projected with a speed lesser than escape velocity, then
PhysicsMechanics
Physics
Figure shows the kinetic energy (Ek) and potential energy (Ep) curves for a two-particle system. Name the point at which the system is a bound system.
Figure shows the kinetic energy (Ek) and potential energy (Ep) curves for a two-particle system. Name the point at which the system is a bound system.
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