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What is the time period of oscillation of a simple pendulum of length L and mass m?
  • a)
    2 π (L/g) 3/2
  • b)
    2 π (L/g)
  • c)
    2 π (L/g) 2
  • d)
    2 π (L/g) 1/2
Correct answer is option 'D'. Can you explain this answer?
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What is the time period of oscillation of a simple pendulum of length ...
The time period of a simple pendulum means the time it takes for one complete revolution.
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What is the time period of oscillation of a simple pendulum of length ...

Simple Pendulum Time Period Calculation:

The time period of oscillation of a simple pendulum can be calculated using the formula:

T = 2π √(L/g)

Where:
T = Time period of oscillation
L = Length of the pendulum
g = Acceleration due to gravity

Explanation:

- The time period of a simple pendulum is the time taken for the pendulum to complete one full oscillation.
- The formula T = 2π √(L/g) shows that the time period is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity.
- As the length of the pendulum increases, the time period also increases. This is because a longer pendulum takes more time to complete one oscillation.
- Similarly, as the acceleration due to gravity increases, the time period decreases. This is because the gravitational force acting on the pendulum affects its motion.

Therefore, the correct answer is option D) 2π(L/g)^1/2, as it represents the time period of oscillation of a simple pendulum of length L and mass m accurately.
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What is the time period of oscillation of a simple pendulum of length L and mass m?a)2 π (L/g) 3/2b)2 π (L/g)c)2 π (L/g) 2d)2 π (L/g) 1/2Correct answer is option 'D'. Can you explain this answer?
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