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P a Pendulum Clock Gives Correct Time at the Equator. Will It Gain Time Or Loose Time as It is Taken to the Poles?

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प्रश्न

A pendulum clock gives correct time at the equator. Will it gain time or loose time as it is taken to the poles?

योग
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उत्तर

According to the relation : \[T = 2\pi\sqrt{\frac{l}{g}}\] The time period (T) of the pendulum becomes proportional to the square root of inverse of g if the length of the pendulum is kept constant.
i.e. \[T \propto \sqrt{\frac{1}{g}}\]

Also, acceleration due to gravity (g) at the poles is more than that at equator. Therefore, the time period decreases and the clock gains time.

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अध्याय 12: Simple Harmonics Motion - Short Answers [पृष्ठ २५०]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 12 Simple Harmonics Motion
Short Answers | Q 11 | पृष्ठ २५०

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