Answer :
To determine which of the given frequencies is equivalent to [tex]\( 100 \)[/tex] MHz, we'll start by converting [tex]\( 100 \)[/tex] MHz into Hertz (Hz).
1 Megahertz (MHz) is equal to [tex]\( 10^6 \)[/tex] Hertz (Hz). Therefore, [tex]\( 100 \)[/tex] MHz can be converted as follows:
[tex]\[ 100 \text{ MHz} = 100 \times 10^6 \text{ Hz} = 100,000,000 \text{ Hz} \][/tex]
Next, let's compare [tex]\( 100,000,000 \)[/tex] Hz with the given frequencies:
1. [tex]\( 1 \times 10^8 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^8 \text{ Hz} = 100,000,000 \text{ Hz} \][/tex]
This matches [tex]\( 100 \)[/tex] MHz.
2. [tex]\( 10 \text{ GHz} \)[/tex]:
To convert Gigahertz (GHz) to Hertz:
[tex]\[ 10 \text{ GHz} = 10 \times 10^9 \text{ Hz} = 10,000,000,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
3. [tex]\( 1 \times 10^5 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^5 \text{ Hz} = 100,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
4. [tex]\( 1 \times 10^6 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^6 \text{ Hz} = 1,000,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
Therefore, the frequency that is equivalent to [tex]\( 100 \)[/tex] MHz is:
[tex]\[ 1 \times 10^8 \text{ Hz} \][/tex]
1 Megahertz (MHz) is equal to [tex]\( 10^6 \)[/tex] Hertz (Hz). Therefore, [tex]\( 100 \)[/tex] MHz can be converted as follows:
[tex]\[ 100 \text{ MHz} = 100 \times 10^6 \text{ Hz} = 100,000,000 \text{ Hz} \][/tex]
Next, let's compare [tex]\( 100,000,000 \)[/tex] Hz with the given frequencies:
1. [tex]\( 1 \times 10^8 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^8 \text{ Hz} = 100,000,000 \text{ Hz} \][/tex]
This matches [tex]\( 100 \)[/tex] MHz.
2. [tex]\( 10 \text{ GHz} \)[/tex]:
To convert Gigahertz (GHz) to Hertz:
[tex]\[ 10 \text{ GHz} = 10 \times 10^9 \text{ Hz} = 10,000,000,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
3. [tex]\( 1 \times 10^5 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^5 \text{ Hz} = 100,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
4. [tex]\( 1 \times 10^6 \text{ Hz} \)[/tex]:
[tex]\[ 1 \times 10^6 \text{ Hz} = 1,000,000 \text{ Hz} \][/tex]
This does not match [tex]\( 100 \)[/tex] MHz.
Therefore, the frequency that is equivalent to [tex]\( 100 \)[/tex] MHz is:
[tex]\[ 1 \times 10^8 \text{ Hz} \][/tex]
