1040 kHz (typical frequency for AM radio broadcasting)
Express your answer in meters using four significant figures.
What is the question asking for? Is it the wavelength?
'C' should be 2.998 x 10^8, shouldn't it?
Yes. I forgot to add the exponent.
It should be 2.998E8 m/s
To convert the frequency of 1040 kHz to meters, we can use the following formula:
λ = c / f
Where:
λ is the wavelength in meters
c is the speed of light, approximately 3.00 × 10^8 meters per second
f is the frequency in hertz (Hz)
First, we need to convert 1040 kHz to hertz by multiplying it by 1000, since 1 kHz is equal to 1000 Hz:
1040 kHz × 1000 = 1.04 × 10^6 Hz
Now, we can substitute the values into the formula:
λ = ( 3.00 × 10^8 m/s ) / ( 1.04 × 10^6 Hz )
Dividing the numerator by the denominator gives:
λ ≈ 288.4615 m
Rounding to four significant figures gives:
λ ≈ 288.5 m
Therefore, the wavelength of a typical AM radio broadcasting frequency of 1040 kHz is approximately 288.5 meters.
Yes, it's the wavelength in meters.
c = freq x wavelength
c = 2.998 m/s
freq = 1040000 Hz
Solve for wavelength.