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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
The correct answer is:
Acceleration of the object, 
Angular frequency, 
Hence time period, 
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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
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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
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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
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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.
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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.
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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.
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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.
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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.
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PhysicsMechanics
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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
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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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Two stars each of mass M and radius R are approaching each other for a head-on collision. They start approaching each other when their separation is r>>R. If their speeds at this separation are negligible, the speed v with which they collide would be
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