Question

An object is vibrating at 50 Hertz. What is the time period?
A) 0.02 s
B) 0.2 s
C) 2 s
D) 20.0 s

Answer 1

Hint: In this question, we need to determine the time period of the object, which is vibrating at the 50 hertz. For this, we will use the relation between the frequency and the time period, which is given as $T = \dfrac{1}{f}$.

Complete step by step answer:

The number of events repeating per second in the occurrence of a continuous regular and defined work is known as the frequency of the work. It is denoted by the letter $f$ and has the unit of $Hz$which is abbreviated as Hertz.

The time taken by the wave (or work) to complete one cycle of vibration to pass a pre-defined point is known as the Time period. It is denoted by the letter $T$ and has a unit of seconds.

The reciprocal of the frequency of the vibration is known as the time period of the vibration.
Here, the frequency of vibration is $f = 50{\text{ Hz}}$.

So, substitute $f = 50{\text{ Hz}}$ in the formula $T = \dfrac{1}{f}$ to determine the time period of the vibration.
$
  T = \dfrac{1}{f} \\
   = \dfrac{1}{{50}} \\
   = 0.02{\text{ seconds}} \\
 $

Hence, the time period of an object which is vibrating at 50 Hertz is 0.02 seconds.

Option A is correct.

Note: It is worth noting down here that, as the frequency of the vibration of the wave (or object) increases, then the time period of the wave will decrease, and the vice-versa also holds true.