Question

An object is vibrating at 25 hertz. What is its time period? (a) 0.4 s (b) 0.04 s (c) 0.2 s (d) 20.0 s​

Answer 1

Answer:

(b) 0.04s

Explanation:

Time period = 1/frequency

Time period = 1/25

= 0.04s

Answer 2

Given:

An object vibrating with

• Frequency = 25 hertz

What To Find:

We have to find the time period of the object from the given options.

How To Find:

To find the time period we will use the formula,

• $\sf Time = \dfrac{1}{Frequency}$

• Substitute the value and solve.
• Convert it into decimal as per the option.

Solution:

• Using the formula,

$\sf \Rightarrow Time = \dfrac{1}{Frequency}$

Substitute the value,

$\sf \Rightarrow Time = \dfrac{1}{25 \: hertz}$

• Convert it into a decimal,

To convert make the denominator 100,

As we know that 25 is multiplied by 4 to get 100,

$\sf \Rightarrow Time = \dfrac{1 \times 4}{25 \times 4}$

Multiply the numerator,

$\sf \Rightarrow Time = \dfrac{4}{25 \times 4}$

Now, Multiply the denominator,

$\sf \Rightarrow Time = \dfrac{4}{100}$

Convert it into a decimal,

$\sf \Rightarrow Time = 0.04 \: s$

$\underline{ \boxed{\rm \therefore Therefore, the \: time \: period \: of \: the \: object \: is \: 0.4 \: s}}$