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Question

Physics Question on Oscillations

A radio can tune to any station in 6 MHz to 10 MHz band. The value of corresponding wavelength bandwidth will be

A

4 m

B

20 m

C

30 m

D

50 m

Answer

20 m

Explanation

Solution

v1=6×106 Hzv_1=6×10^6\ Hz
λ1=3×1086×106λ_1=\frac {3×10^8}{6×10^6}
λ1=50 mλ_1=50\ m
v2=10×106 Hzv_2=10×10^6\ Hz
λ2=3×10810×106λ_2=\frac {3×10^8}{10×10^6}
λ2=30 mλ_2=30\ m
The wavelength band with =λ1λ2=20 m=|λ_1−λ_2|=20\ m

So, the correct option is (B): 20 m.