Question

TV and radio stations transmit in specific frequency bands of the radio region of the electromagnetic spectrum.

Answer 1

Answer:

a) Yes, these bands of signals overlap.

b) FM has broader transmission band.

Explanation:

a) Frequency range of TV channels = 59.5 to 215.8 MHz

Wavelength range of FM radio = 2.78 m to 3.41 m

Frequency of the wave = $\nu$

Wavelength of the wave = $\lambda$

Speed of light = c = $3\times 10^8 m/s$

$\nu =\frac{c}{\lambda }$

Frequency of wave with, $\lambda = 2.78 m$

$\nu =\frac{3\times 10^8 m/s}{2.78 m}=1.079\times 10^8 Hz$

$1.079\times 10^8 Hz=1.079\times 10^8\times 10^{-6} MHz=107.9 MHz$

Frequency of wave with, $\lambda = 3.41m$

$\nu =\frac{3\times 10^8 m/s}{3.41 m}=8.798\times 10^7 Hz$

$8.798\times 10^7 Hz=8.798\times 10^7\times 10^{-6} MHz=87.98 MHz$

Frequency range of FM = 87.89 to 107.9 MHz

Frequency range of TV channels = 59.5 to 215.8 MHz

Yes, these bands of signals overlap.

b)  

Frequency range of AM = 550 to 1600 kHz

1 kHz = 0.001 MHz

550 to 1600 kHz = $550\times 0.001 MHz$ to $1600\times 0.001 MHz$

= 0.55 MHz to 1.6 MHz

Frequency range of AM = 0.55 to 1.6 MHz

Frequency range of FM = 87.89 to 107.9 MHz

FM has broader transmission band.