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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.

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cryssatemp

Answer: None of the above choices are correct.

Explanation:

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

[tex]f=\frac{100vibrations}{5s}[/tex] (1)

The frequency  [tex]f[/tex] is defined as the inverse of the period [tex]T[/tex] (time):

[tex]f=\frac{1}{T}[/tex] (2)

Therefore the Period is:

[tex]T=\frac{1}{f}[/tex] (3)

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

[tex]T=\frac{1}{\frac{100}{5s}}[/tex]

[tex]T=\frac{5s}{100}[/tex]

Finally:

[tex]T=0.05s[/tex] >>>>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.

LucianoBordoli

Answer:

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

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 :

[tex]T=\frac{Time}{NumberOfVibrations}[/tex]

In this exercise :

[tex]T=\frac{5s}{100}[/tex]

[tex]T=0.05s[/tex]

Therefore, the correct answer is D)

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