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Q.

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

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a

4 m

b

20 m

c

30 m

d

50 m

answer is B.

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Detailed Solution

$\begin{array}{l} v_{1} = 6 \times 10^{6} Hz \\ \Rightarrow λ_{1} = \frac{3 \times 10^{8}}{6 \times 10^{6}} = 50 m \\ v_{2} = 10 \times 10^{6} Hz \\ \Rightarrow λ_{2} = \frac{3 \times 10^{8}}{10 \times 10^{6}} = 30 m \end{array}$
$\Rightarrow$ Wavelength bandwidth
$= |λ_{1} - λ_{2}| = 20 m$

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