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If a tunnel is dug along the diameter of...

If a tunnel is dug along the diameter of the earth and a ball is dropped into the tunnel, it will have

A

linear motion

B

circular motion

C

oscillatory motion

D

translatory motion

Text Solution

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The correct Answer is:
**Step-by-Step Solution:** 1. **Understanding the Scenario**: We have a tunnel dug along the diameter of the Earth. When a ball is dropped into this tunnel, we need to analyze the type of motion it will undergo. 2. **Identifying the Forces**: When the ball is dropped, it will be influenced by the gravitational force exerted by the Earth. As the ball moves towards the center of the Earth, the gravitational force will change because the mass of the Earth below the ball decreases. 3. **Motion Towards the Center**: As the ball falls towards the center, it will accelerate due to gravity. However, as it reaches the center, the gravitational pull from all sides will cancel out, resulting in zero net force. 4. **Motion Beyond the Center**: After passing the center, the ball will continue to move towards the other side of the tunnel due to its inertia. It will eventually reach the other end of the tunnel and then fall back towards the center again. 5. **Oscillatory Motion**: This back-and-forth motion of the ball, moving from one end of the tunnel to the other and returning, is characteristic of oscillatory motion. The ball will continue to oscillate back and forth indefinitely (assuming no air resistance or friction). 6. **Conclusion**: Therefore, the type of motion that the ball will exhibit when dropped into a tunnel dug along the diameter of the Earth is oscillatory motion. **Final Answer**: The ball will have oscillatory motion. ---
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