Question

A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=106Hz and 1Hz=1s−1. Calculate the broadcast wavelength of the radio station 90.90 FM.

Answer 1

a)  λ= 3.27m

b)E = 3.97 × $10^{-19}$J

c)E= 1.325 ×  $10^{-17}$J

Explanation:

Write down the values given in the question,

To calculate the broadcast wavelength of radio station,

a)

λ = 3 × $10^{8}$ $\frac{10^{8}}{91.5 × 10^{6} }$

λ= 3.27m

b)

E = hf

= h × 6 ×  10^{14}

E = 3.97 × 10^{-19} J

c)

E= hc / λ

= h × 3 ×  10^{8} / 15 × 10^{-9}

E= 1.325 × 10^ -17 J