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Imagine a tunnel is drilled inside the Earth along the north-south poles. A sphere of mass 10 kg is dropped from the surface of the Earth into the tunnel. In this context :
1) The sphere will pass through the tunnel and come out at the other end.
2) The weight of the sphere will decrease and then increase during its motion from one end to the other end of the tunnel.
3) The force of gravity will be zero at the centre of the Earth.
Which of these statements is/are correct ?
1 and 2
1 and 3
2 and 3
3 only
- Statement 1: The sphere will oscillate through the tunnel. It should move to the other side but may not "come out" entirely due to energy loss like air resistance.
- Statement 2: The weight of the sphere, proportional to gravity, will be highest at the surface, decrease to zero at the center, and increase again as it approaches the other end.
- Statement 3: Gravity at Earth's center is zero due to equal mass attraction in all directions.
Option: 3, 2 and 3
- Statement 2 and Statement 3 are correct.
- Statement 1 is partially correct due to practical losses like air resistance.
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