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**Hint:**The approach to solve this question is using relation of frequency with time period that is $f = \dfrac{1}{T}$ where f is the frequency and T is the time period, and unitary method , so putting values in formula is easy let us know little about unitary method which will also help you in the further problems.

Let us understand this concept with a basic example, assume that you are going to buy 12 balls cost 20 rupees so, 6 balls cost how many rupees:

For 12 balls we have 20 rupees

$12 \to 20$

For single for we have:

$1 \to \dfrac{{20}}{{12}} = \dfrac{5}{3}$

So, for 6 balls we have,

$6 \to 6 \times $$\dfrac{5}{3}$$ = 10$ rupees

Based on the above two concepts we will solve our question in an easy way.

**Complete solution step by step:**

According to the question given let us discuss some of related terms with this question

Simple Pendulum is a very small heavy bob suspended at a point from a fixed support using a single thread so that it oscillates freely. The distance between the point of suspension and bob’s centre is

the length of pendulum

**One oscillation:**One complete to and fro motion of the oscillating body is called one oscillation.

**Frequency:**It is the number of oscillations made by the body in one second.

**Time Period:**It is the time taken by a body to complete one oscillation.

So, let's follow the calculations

As mentioned, 10 oscillations in 20 seconds

$

10 \to 20 \\

1 \to \dfrac{{10}}{{20}} = 0.5\sec \\

$

**So, for a single oscillation time taken or what we say time period is 0.5 seconds.**

Further calculating frequency

$

f = \dfrac{1}{T} \\

= \dfrac{1}{{0.5}} = 2hz \\

$

**So, frequency is 2 hertz.**

**Note:**The motion discussed above is considered in simple harmonic motion.

Let is discuss some important parts regarding this motion:

To study the motion of bob we use sine wave forms which comes from a derivation

The formula used for calculating displacement in simple harmonic motion is

$s = A\sin \omega t$ where A is the amplitude or maximum displacement possible, w is the angular frequency and t is the time take to reach there so, by considering this formula our motion becomes like to and fro like in the diagram given where particle moves from B to C , then C to B , B to A , then back to B and this is called one complete cycle.

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