Question

If a pendulum completes 4 vibrations in 1 second, then its Time period is​

Answer 1

Explanation:

complete Vibrations = 4

second = 1

Time period = 1/4 = 0.25

Frequency = 4/1 = 4

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Answer 2

Answer:

If a pendulum completes 4 vibrations in 1 second, then its Time period is​ $0.25\ s$.

Explanation:

Let T be the time period and f be the frequency of an oscillating object.

The time period of an oscillating object is given by,

$\ T= \frac{1}{\ f}$                    ...(1)

This is the time required to complete one oscillation

The inverse of the frequency is the time period of the oscillating body.

The frequency of oscillations of a vibrating body is the ratio of the number of oscillations of that body per second.

It can be expressed as,

$Frequency\ (f) = \frac{Number\ of\ oscillations\ (N)}{Time\ (t)}$     ...(2)

In the question, it is given that,

$N= 4$

$t = 1\ s$

Substituting these values into equation (1) and equation (2)

$f = \frac{4}{1} = 4 \ Hz$

Now

$T = \frac{1}{4} =0.25\ s$