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4. The bob of a simple pendulum is released from one of its extreme position. If it reaches to its mean position in 0.2 s, then time taken by the bob to complete 15 oscillations is
(1)
10 s
12 s
(2) 11 s
(3)
(4) 13 s?
Most Upvoted Answer
4. The bob of a simple pendulum is released from one of its extreme po...
Understanding the Pendulum Motion
A simple pendulum exhibits periodic motion, oscillating back and forth. The time taken for one complete oscillation is called the period (T).
Given Information
- The pendulum reaches its mean position in 0.2 seconds.
- This means it takes 0.2 seconds to travel from one extreme position to the mean position.
Calculating the Period
- The time to go from one extreme position to the mean position (0.2 s) represents half of the oscillation.
- Therefore, the total time for a complete oscillation (T) is:
- T = 0.2 s (to mean position) + 0.2 s (to return to the other extreme) = 0.4 s
Finding the Time for 15 Oscillations
- To find the total time for 15 oscillations, we multiply the period (T) by the number of oscillations:
- Total time = Number of oscillations × Period
- Total time = 15 × 0.4 s = 6 s
Conclusion
- The time taken by the bob to complete 15 oscillations is 6 seconds.
- It appears that the options provided in the question (10 s, 12 s, 11 s, 13 s) do not include the correct answer, which is 6 s.
This demonstrates the importance of understanding the basic principles of pendulum motion and oscillation calculations in physics.
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4. The bob of a simple pendulum is released from one of its extreme position. If it reaches to its mean position in 0.2 s, then time taken by the bob to complete 15 oscillations is(1)10 s12 s(2) 11 s(3)(4) 13 s?
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