Question

A radio can tune to any station in the 7.5 mhz to 12 mhz band. what is the corresponding wavelength band?

Answer 1

The band is simply 12 - 7.5 = 4.5 MHz

Answer 2

★ Given:-

→ $v_{1} = 7.5\; MHz = 7.5\times {10}^{6}\; Hzv$

→ $v_{2} = 12\; MHz = 12\times {10}^{6}\; HHz$

→ $c = 3\times {10}^{8}\; m/s$

★ Explaination:-

• Corresponding wavelength for $v_{1}$ can be calculated as:

$= λ_{1} = \dfrac{c}{v_{1}}$

$= \dfrac{3\times {10}^{3}}{7.5\times 10^{6}} = 40\;m$

• Corresponding wavelength for $v_{2}$ can be calculated as:

$=λ_{2} = \dfrac{c}{v_{2}}$

$= \dfrac{3\times {10}^{3}}{12\times 10^{6}} = 25\;m$

Thus, the wavelength band of the radio is 40 m to 25 m.