Which one of the following statements is true regarding the time perio

Which one of the following statements is true regarding the time period (T) of oscillation of a simple pendulum?

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T increases with increase in length of the pendulum

T depends on the mass of the pendulum bob

T decreases with increase in length of the pendulum

T is independent of the length of the pendulum

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC Geoscientist – 2020

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The time period (T) of oscillation of a simple pendulum for small oscillations is given by the formula T = 2π * sqrt(L / g), where L is the length of the pendulum and g is the acceleration due to gravity. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T ∝ sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases.

The time period of a simple pendulum is proportional to the square root of its length.

The formula T = 2π * sqrt(L / g) also shows that the time period depends on the acceleration due to gravity (g) but is independent of the mass of the pendulum bob and the amplitude of oscillation (provided the amplitude is small). Option A correctly describes the relationship between T and L.

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