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Question

A radio station transmitted a radio wave with frequency of 25MHz the value of the frequency is equivalent to? Leave answer in Hz and in standard form.

Answer:

2.5 x 10⁷Hz

Explanation:

The measured frequency is 25MHz

To convert this to Hz, we simply change the M, which means mega, to its equivalent value which is 10⁶.

Therefore, we have;

25MHz = 25(10⁶) Hz

=> 25MHz = 25 x 10⁶ Hz  

Now express this value in standard form as follows;

25 x 10⁶ Hz = 2.5 x 10¹ x 10⁶

=> 25 x 10⁶ Hz = 2.5 x 10⁷ Hz

Therefore, the value of 25MHz is equivalent to 2.5 x 10⁷Hz

The value of the frequency of the radio wave is equivalent to 2.5 × 10⁷ Hertz.

Given the data in the question;

Frequency of radio wave; [tex]f = 25MHz[/tex]

Frequency is the number of occurrences of a repeating event per unit of time. The SI unit for frequency is the hertz (Hz)

We know that;

[tex]1MHz\ ( Megahertz) = 1000000 Hz\ ( Hertz )[/tex]

so

[tex]25MHz = x[/tex]

We cross multiply

[tex]x = \frac{25MHz\ *\ 1000000Hz}{1MHz} \\\\x = 2.5 * 10^7 Hz[/tex]

Therefore, the value of the frequency of the radio wave is equivalent to 2.5 × 10⁷ Hertz.

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