Part A A radio station\'s channel, such as 100.7 FM or 92.3 FM, is actually its

ID: 896824 • Letter: P

Question

Part A

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=1s1 .

Calculate the broadcast wavelength of the radio station 102.5 FM.

Express your answer to four significant figures and include the appropriate units.

Part B

Green light has a frequency of about 6.00×1014s1 . What is the energy of green light?

Express your answer to three significant figures and include the appropriate units.

Part C

Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm ), where 1nm=109m . What is the energy of the X-rays?

Express your answer to three significant figures and include the appropriate units.

Part:A

Frequency = 102.5 MHz = 102.5*106 Hz = 102.5*106 s-1

Wave length = C/frequency = 3.0*108 m/s / 102.5*106 s-1 = 2.92 m

Part:B

E = h(frequency) = (6.626*10-34 J.sec)(6.00*1014 /sec) = 3.97*10-19 J

Part:C

E = (h)(c) / wave length = (6.626*10-34 J.sec)(3*108 m/s) / (15*10-9 m) = 1.32*10-17 J

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