Question

An object that completes 100 vibrations in 5 seconds has a period of

A) 0.5 second. B) 1 second. C) 2 seconds. D) None of the above choices are correct.

Answer 1

The correct answer is D) None of the above choices are correct.

Step-by-step explanation:

We know that the object completes 100 vibrations in 5 seconds.

The period (T) is the time in which an object or a particle realizes a complete vibration (oscillation).

The period is the inverse of the frequency.

The unit of the period are the seconds.

The period can be calculated using the following equation :

`T=(Time)/(NumberOfVibrations)`

In this exercise :

`T=(5s)/(100)`

`T=0.05s`

Therefore, the correct answer is D)

Answer 2

Answer: None of the above choices are correct.

Step-by-step explanation:

Here we are talking about the vibration frequency of an object:

`f=(100vibrations)/(5s)` (1)

The frequency
`f` is defined as the inverse of the period
`T` (time):

`f=(1)/(T)` (2)

Therefore the Period is:

`T=(1)/(f)` (3)

Now, if we want to find the period we have to substitute equation (1) in equation (3):

`T=(1)/((100)/(5s))`

`T=(5s)/(100)`

Finally:

`T=0.05s` >>>>This is the value of the period, which does not match with any of the options given.

Hence:

None of the above choices are correct.