JEE Advanced 2022 Physics question

PhysicsOscillationsJEE Advanced 2022

On a frictionless horizontal plane, a bob of mass is attached to a spring with natural length . The spring constant is when the length of the spring and is when . Initially the bob is released from . Assume that Hooke's law remains valid throughout the motion. If the time period of the full oscillation is , then the integer closest to is .

Answer: 6

Solution

The motion consists of half an oscillation with the stretched spring () and half with the compressed spring (): $T =

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Question ID VK-034032