Frequency = number of oscillation/time taken
40/4=10
time period = 1/frequency
1/10= 0.1

Time Period of a Pendulum:
The time period of a pendulum is defined as the time taken for one complete oscillation or swing. In other words, it is the time it takes for the pendulum to return to its starting position after completing one back-and-forth motion.

Given Information:
- Number of oscillations = 40
- Time taken = 4 seconds

Calculating Time Period:
The time period (T) can be calculated by dividing the total time taken (t) by the number of oscillations (n). Mathematically, we can represent it as:
T = t / n

In this case, the total time taken is 4 seconds and the number of oscillations is 40. Substituting these values into the formula, we get:
T = 4 seconds / 40 oscillations

Simplifying the equation, we find that the time period of the pendulum is 0.1 seconds.

Calculating Frequency:
The frequency (f) of a pendulum is the number of oscillations it completes in a given time period. It is the reciprocal of the time period and is represented by the formula:
f = 1 / T

Using the calculated time period of 0.1 seconds, we can find the frequency as follows:
f = 1 / 0.1 seconds

Simplifying the equation, we find that the frequency of the pendulum is 10 Hz (Hertz).

Summary:
- The time period of the pendulum is 0.1 seconds, indicating that it takes 0.1 seconds for the pendulum to complete one oscillation.
- The frequency of the pendulum is 10 Hz, indicating that it completes 10 oscillations in one second.

Visually Appealing Format:
Time Period of a Pendulum:
- Time period is the time taken for one complete oscillation.
- It is the time for the pendulum to return to its starting position.

Given Information:
- Number of oscillations = 40
- Time taken = 4 seconds

Calculating Time Period:
- Time period (T) = total time taken (t) / number of oscillations (n)
- T = 4 seconds / 40 oscillations
- T = 0.1 seconds

Calculating Frequency:
- Frequency (f) = 1 / time period (T)
- f = 1 / 0.1 seconds
- f = 10 Hz

Summary:
- The time period of the pendulum is 0.1 seconds.
- The frequency of the pendulum is 10 Hz.