In a radio receiver, the short wave and medium wave station are tuned by using the same capacitor but coils of different inductance `L_(s)` and `L_(m)` respectively then

Options

A. `L_(s)gtL_(m)`
B. `L_(s)ltL_(m)`
C. `L_(s)=L_(m)`
D. None of these

Answer

B

Explanation

As`v=(c)/(lambda) implies V_(m)=(c)/(lambda_(m))` and `v_(s)=(c)/(lambda_(s)`
`:. lambda_(m)gt lambda_(s) impliesv_(m)lt v_(s)`
Also `v_(m)=(1)/(2pisqrt(L_(m)C))` and `v_(s)=(1)/(2pisqrt(L_(s)C))`
`implies v_(m)/(v_(s))=sqrt((L_(s))/(L_(m))) impliesL_(s)lt L_(m)`