Answered

An oscillator makes 360 vibrations in 3 minutes.

AHow many vibrations does it make in one minute?
BHow many vibrations does it make in one second?
CWhat is its period in seconds?
DWhat is its frequency in hertz?

Verified Answer :

A120 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, \(n=\dfrac{360}{3}=120\)

So, no of vibrations in one minute is 120.

(b) Similarly,

3 minutes = 180 seconds

No of vibrations in one second is \(\dfrac{360}{180}=2\)

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

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

\(T=\dfrac{1}{2\ s^{-1}}\)

\(T=0.5\ s\)

The time period of the wave is 0.5 s

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

\(u=\dfrac{1}{T}\)

\(u=2\ Hz\)

Hence, this is the required solution.

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