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

Step-by-step explanation:

Write down the values given in the question,

To calculate the broadcast wavelength of radio station,

a)

λ = 3 ×
`10^(8)`
`(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