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. Calculate the broadcast wavelength of the radio station 99.30 FM. Express your answer in meters to four significant figures.

Part B:

Green light has a frequency of about 6.00×10^14s^−1. What is the energy of a photon of green light?

Part C:

Hospital X-ray generators emit X rays with wavelength of about 15.0 nanometers (nmnm), where 1nm=10^−9m. What is the energy of a photon in an X ray?

Answer 1

(A) Given :- The frequency of radio waves (f) = 89.30 fm. f = 99.30 MHz = 99. 30 x 100 Hz between frequency and concept :- The relationship Wavelength d = f Where - c is the speed of right = 3x108 mis . - f is the frequency of radio waves -d is the wavelegth of radio Waves solution :- substitute all numerical values in equation (1) then d = 3x108 mis 99.3 x 106H₂ d = 3000 993 m d = 3.02 meter Thys The broadcast wavelength is 3.02 m . of the radio station (B) wiven :- The green light has a frequency of about 6:00x105-1 Required data :- The energy of a photon of green light (in Joules /

solution : The energy of a photon is given by I E = hf where h - Plank's constant - 6.63x10-34 JS f = frequency of light in Hz (some time the symbol f is written asu) energy of the green light let us find out the emitted per photon & substitute numerical values in equation Ll) E = 16.634 10 34) (6.00x1014) Thus, we get a result of (c) niven :- X-days wavelength (d) a 15 nm = 15x10m Required in the energy of a photon in an x-rays (E) = ? solution : Te energy of a photon E = hf where f = frequncy > d= C - f = & E= hxc where h- plank's constant = 6.63x103 Is substitute numerical values E = 16.6341034 ) x (3x108) I sic-speed of light (15x1009) = 34/08 mis E = (19.89.)x1017 J Is classmate E = 1.326 X 10-17 J PAGETT