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An oscillator makes 360 vibrations in 3 minutes.
a. How many vibrations does it make in one minute?
b. How many vibrations does it make in one second?
c. What is its period in seconds?
d. What is its frequency in hertz?



Answer :

a) 120 vibrations per minute
b)d) 2 Hz (vibrations per second)
c) The period is half of the second.

Explanation :

It is given that an oscillator makes 360 oscillations in 3 minutes.

(a) Using unitary method :

No. of vibrations in one minute is, [tex]n=\dfrac{360}{3}=120[/tex]

So, no of vibrations in one minute is 120.

(b) Similarly,

3 minutes = 180 seconds

No of vibrations in one second is [tex]\dfrac{360}{180}=2[/tex]

So, the no of vibrations in one second is 2.

(c) Time period of the wave is given by :

[tex]T=\dfrac{1}{2\ s^{-1}}[/tex]

[tex]T=0.5\ s[/tex]

The time period of the wave is 0.5 s

(d) The no of vibation per second is called as its frequency.

[tex]\nu=\dfrac{1}{T}[/tex]

[tex]\nu=2\ Hz[/tex]

Hence, this is the required solution.

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