Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(3%) Problem 33: The frequency range for AM radio is 540 to 1600 kHz. The freque

ID: 1582792 • Letter: #

Question

(3%) Problem 33: The frequency range for AM radio is 540 to 1600 kHz. The frequency range for FM radio is 880 to 108 MHz 25% Part (a) Caculate the maximum wavelength for AM radio in meters Grade Summary Deductions Potential 0% 100% AMmax sin cosO cotan0 asin0 tan) ( acos0 atanOacotan)sinhO Submissions Attempts remaining: 7 (2% per attempt) detailed view cotanhO END Degrees Radians Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback. 25% Part (b) Caculate the minimum wavelength for AM radio in meters 25% Part (c) Caculate the maximum wavelength for FM radio in meters 25% Part (d) Caculate the minimum wavelength for FM radio in meters

Explanation / Answer

Answer: a) We know that velocity of light c=f *

=c/f where f is frequency and is wavelength, c is velocity of light =3 *10^8

From the relation is inversly proportional to frequency.

The maximum wavelength for AM radio is (max)=3 *10^8 /540 *10^3

(max) =3 *10^4 /54 =555.556 m.

b) Minimum wavelength for AM radio is (min) =3 *10^8 /1600 *10^3

(min) =3 *10^3 /16 =187.5 m.

c) Maximum wavelength for FM radio is (max) =3 *10^8 /88 *10^6

(max) =3 *10^2 /88 =3.409090 m.

d) Minimum wavelength for FM radio is (min) =3 *10^8 / 108 *10^6

(min) =3 *10^2 /108 =2.77778 m.