JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1
The bob of a pendulum was released from a horizontal position. The length of the pendulum is . If it dissipates of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is: [Use, ]
- A
- B
- C
- D
View written solutionFree
Correct answer: D
- Initial position and energy
The pendulum bob is released from the horizontal position.
So initially, the bob is at the same height as the point of suspension, while at the lowest point it is vertically below the suspension point by a distance equal to the length of the pendulum.
Hence the vertical drop is
Therefore, the initial potential energy relative to the lowest point is
- Energy dissipated
It is given that of the initial energy is dissipated against air resistance.
So the remaining energy at the lowest point is
- Convert remaining energy into kinetic energy
At the lowest point, this remaining energy is kinetic:
Cancel :
- Match with options
which corresponds to Option D.
Verification with stored answer: Stored correct answer is D, which matches our result.
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