Question

A pendlum ocllilate 40 time in 4 second . find it period and frequency ​

Answer 1

Explanation:

The time required to complete one oscillation is known as time period. It is given by the inverse of the frequency.

Time period = 1/(Frequency of Oscillation) = 1/10 = 0.1 sec.

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Answer 2

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✤ Required Answer:

✒ GiveN:

• No. of oscillations = 40
• Time taken = 4 seconds

✒ To FinD:

• Time period....?
• Frequency of the pendulum....?

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✤ How to solve?

For solving, Just we need to know what is time period of a pendulum and what its frequency will be?

• Time period is the time taken by the wave to complete one complete oscillation or time taken by particle to complete one cycle.
• Frequency is the number of complete oscillations or cycles per unit of time. Like here, 1 second is the unit time taken.

Do you want to know? What's the relation between Time period and Frequency !!?

Frequency is the number of cycles per second. And, Time period is the time taken by one cycle. Then,

$\large{ \cdot{ \boxed{ \sf{ \nu = \frac{1}{T} }}}}$

For verification, we can use this....

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✤ Solution:

We have,

• No. of oscillations = 40
• Time taken = 4 seconds

Finding frequency,

➙ Frequency = No. of oscillations/Time taken

➙ Frequency = 40 cycles/4 seconds

➙ Frequency = 10 cycles/sec

[ Unit of frequency = Hertz ]

➙ Frequency = 10 Hz

✒ Frequency of the pendulum = 10 Hz.

Finding Time period,

➙ 40 oscillations = 4 seconds

➙ 1 oscillations = 4/40 seconds

➙ 1 oscillations = 0.1 seconds

✒ Time period of pendulum = 0.1 sec

☀️ Hence, solved !!

Check : Using relation,

We know, ν = 1/ T

➙ 10 = 1/0.1

➙ 10 = 10

☀️ Hence verified !!

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