What is the time frequency of a vibrating body whose time period is 0....
Frequency = 1 / Time period
= 1 / 0.05 s
= 100 / (5 s)
= 20 Hz
Frequency of the wave is 20 Hz see ans when u click reply to get more clarity
What is the time frequency of a vibrating body whose time period is 0....
Time Period and Frequency of a Vibrating Body
The time period and frequency are two important concepts that describe the motion of a vibrating body. Let's understand these concepts and their relationship in detail.
Time Period
- Time period refers to the time taken by a vibrating body to complete one full cycle of its motion.
- It is denoted by the symbol 'T' and is measured in seconds (s).
- In simple terms, it is the time required for the body to repeat its motion.
- The time period is inversely proportional to the frequency of the vibrating body.
Frequency
- Frequency represents the number of complete cycles or vibrations that occur in one second.
- It is denoted by the symbol 'f' and is measured in hertz (Hz).
- In simple terms, it is the number of vibrations or cycles per unit time.
- The frequency is the reciprocal of the time period, i.e., f = 1/T.
Relationship between Time Period and Frequency
- The time period and frequency of a vibrating body are inversely related to each other.
- Mathematically, the relationship between time period (T) and frequency (f) is given by:
T = 1/f (or) f = 1/T
Given Information:
- The time period of the vibrating body is 0.05 seconds.
Calculating Frequency:
- Using the relationship between time period (T) and frequency (f), we can calculate the frequency.
- Substitute the given value of time period into the formula:
f = 1/T
f = 1/0.05
f = 20 Hz
Answer:
- The frequency of the vibrating body, whose time period is 0.05 seconds, is 20 Hz.
- This means that the body completes 20 cycles or vibrations in one second.
Summary:
- The time period of a vibrating body is the time taken to complete one full cycle of its motion.
- Frequency represents the number of cycles or vibrations that occur in one second.
- The time period and frequency are inversely related to each other.
- The frequency can be calculated by taking the reciprocal of the time period.
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