Question

A radio can tune into any station in the 100 m to 50 m wavelength band. What is the corresponding frequency band?

Answer 1

ANSWER:

• The corresponding frequency band 3 MHz to 6 MHz.

GIVEN:

• A radio can tune into any station in the 100 m to 50 m wavelength band.

TO FIND:

• The corresponding frequency band.

EXPLANATION:

$\boxed{\boldsymbol{\large{\orange{\nu = \dfrac{c}{\lambda}}}}}$

$\boldsymbol{Frequency \ band = \nu_1 \ to \ \nu_2}$

$\sf \longmapsto \nu_1 = \dfrac{c}{\lambda_1}$

$\implies \tt c = 3\times10^8 \ ms^{-1}$

$\implies \tt \lambda_1 = 100\ m$

$\sf \longmapsto \nu_1 = \dfrac{3 \times {10}^{8} }{100}$

$\sf \longmapsto \nu_1= 3 \times {10}^{6} \ Hz$

$\sf \longmapsto \nu_1 = 3 \ MHz$

$\sf \longmapsto \nu_2= \dfrac{c}{\lambda_2}$

$\implies \tt c = 3\times10^8 \ ms^{-1}$

$\implies \tt \lambda_2 = 50\ m$

$\sf \longmapsto \nu_2= \dfrac{3 \times {10}^{8} }{50}$

$\sf \longmapsto \nu_2= 0.6 \times {10}^{7} \ Hz$

$\sf \longmapsto \nu_2= 6 \ MHz$

Hence the corresponding frequency band 3 MHz to 6 MHz.

Answer 2

$\huge\color{pink}{\underline{\underline{Answer\::}}}$

3 MHz to 6MHz

$\huge\color{yellow}{\underline{\underline{Explanation\::}}}$

Refers to the attachment....