Chapter 12, Problem 2RAT

If the frequency of a particular wave is $30\text{Hz}$, its period is

(a) $\frac{1}{30}\text{s}$.

(b) $30\text{s}$.

(c) more than $30\text{s}$.

(d) None of the above.

To determine

The correct option for the statement “If the frequency of a particular wave is $30\text{Hz}$, its period is”.

Answer to Problem 2RAT

The correct option for the statement “If the frequency of a particular wave is $30\text{Hz}$, its period is” is option (a).

Explanation of Solution

When something moves periodically back and forth, or up and down, it is said to be in vibration. When the vibration is carried through space and time, it is a wave. The wave is a pattern of matter or energy that extends from one place to another.

The frequency defines how frequent vibration occurs. The period is the time taken for one complete vibration. The frequency and period are the inverses of each other.

$\text{period = }\frac{\text{1}}{\text{frequency}}$

Substitute $30\text{Hz}$ for $\text{frequency}$ in the above expression to get $\text{period}$.

$\text{period = }\frac{\text{1}}{\text{30}}\text{s}$

Conclusion:

Therefore, correct option for the statement “If the frequency of a particular wave is $30\text{Hz}$, its period is” is option (a).