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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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