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

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f1 = 7.5 × 10^6 Hz

f2 = 12 × 10^6 Hz

lambda1 = c/f1 = 40 m

lambda2 = c/f2= 25 m

So the range is 40m to 25m

Answer 2

AnSwer :

A radio can tune to minimum frequency, v₁ = 7.5 mhz = 7.5 × 10⁶ Hz.

A radio can tune to Maximum frequency, v₂ = 12 MHz = 12 × 10⁶Hz.

we know, speed of light = 3 × 10⁸m/s.

Corresponding wavelength for v₁ can be calculated as :-

${ \leadsto{\bf{ \lambda_1 = \dfrac{c}{v_1} }}} \\ \\ { \leadsto{\bf{ \lambda_1 = \dfrac{3 \times {10}^{8} }{7.5 \times {10}^{6} } }}} \\ \\ { \leadsto{\bf{ \lambda_1 = 40m}}}$

corresponding wavelength of v₂ can be calculated as :-

${ \leadsto{\bf{ \lambda_2 = \dfrac{c}{v_2} }}} \\ \\ { \leadsto{\bf{ \lambda_2 = \dfrac{3 \times {10}^{8} }{12 \times {10}^{6} } }}} \\ \\ { \leadsto{\bf{ \lambda_2 = 25m}}}$

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