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P the Pendulum of a Certain Clock Has Time Period 2.04 S. How Fast Or Slow Does the Clock Run During 24 Hours?

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प्रश्न

The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?

योग
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उत्तर

Given,
Time period of the clock pendulum = 2.04 s

The number of oscillations made by the pendulum in one day is calculated as \[\frac{\text { Number  of  seconds  in  one  day }}{\text {time  period  of  pendulum  in  seconds }} = \frac{24 \times 3600}{2}\] = 43200

In each oscillation, the clock gets slower by (2.04 − 2.00) s, i.e., 0.04 s.
In one day, it is slowed by = 43200 × (0.04)
                                          = 28.8 min
Thus, the clock runs 28.8 minutes slow during 24 hours.

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अध्याय 12: Simple Harmonics Motion - Exercise [पृष्ठ २५५]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 12 Simple Harmonics Motion
Exercise | Q 34 | पृष्ठ २५५

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