A tunnel is made inside earth passing throgh centre of earth. A particle is dropped from the surface of earth. Select the correct statement :

A tunnel is made across the earth at disance (R )/(2) from the centre of eath. A particle is dropped (from rest) in the tunnel at one end. If v_(1) is the speed of particle when passing through the centre of tunnel and v_(2) is the orbital speed of an earth satellite (very close to earth's surface). If (v_(1))/(y_(2))=(sqrt(x+1))/(x) . Find the value of x.

A tunnel is dug across the diameter of earth. A ball is released from the surface of Earth into the tunnel. The velocity of ball when it is at a distance (R )/(2) from centre of earth is (where R = radius of Earth and M = mass of Earth)

A tunnel is dug across the diameter of earth. A ball is released from the surface of Earth into the tunnel. The velocity of ball when it is at a distance (R )/(2) from centre of earth is (where R = radius of Earth and M = mass of Earth)

A tunnel is made across the earth passing through its center. A ball is dropped from a height h in the tunnel. The motion will be periodic with time period::

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Time period of the particle is not equal to

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Maximum speed of the particle is

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Time period of the particle is not equal to

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Maximum speed of the particle is

A hole is drilled from the surface of earth to its centre. A particle is dropped from rest in the surface of earth in terms of its escape velocity on the surface of earth v_(e) is :