Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is
(a) simple harmonic
(b) parabolic
(c) on a straight line
(d) periodic.
Answers
Answer ⇒ Option (c). and Option (d). are correct.
Explanation ⇒ The Motion as observed by the earth will be straight line since the path is along the diameter of the Earth. Therefore, Option (c) is correct.
But, the Force acting towards the center of the Earth will be Gravitational Force, in Which force is proportional to inverse square of distance. Thus, it can not be Simple Harmonic Motion. Option (a). is incorrect.
Motion cannot be Parabolic since it is straight line.option (b) is incorrect.
Since, Particle used to go and then returns to the same positive and all this occurs in a fixed time which is numerically equal to 84.6 minutes.
Thus, It is Periodic Motion. Hence, Option (d). is correct.
Hope it helps.
Answer:
When a particle is dropped from a height h above the centre of tunnel.
(i) It will oscillate, through the earth to a height h on both sides
(ii) The motion of particle is periodic
(iii) The motion of particle will not be SHM.
Explanation: