a)  Calculate the range of wavelengths (in m) for X-rays given their frequency range is 30,000 to 3.0 ✕ 107 THz.       smaller value?      m       larger value?        m (b) Do the same for the visible light frequency range of 380 to 760 THz.       smaller value?      m       larger value ?      m

(11%) Problem 5: Consider the 100-MHz radio waves used in an MRI device. 33% Part (a) What is the wavelength, in meters, of these radio waves? A 33% Part (b) If the frequencies are swept over a +9.5 MHz range centered on 100 MHz, what is the minimum, in meters, of the range of wavelengths emitted? 33% Part (c) What is the maximum, in meters, of this wavelength range? Grade Summary Amax Deductions 0% Potential 100%

50) The electric field of an electromagnetic wave is given by E= (6.0×10−3V/m)sin[2?(?/18m−?/6.0×10−8s)]?ˆ. (See image below) Write the equations for the associated magnetic field and Poynting vector. This is based on Energy Carried by Electromagnetic Waves. Please show all work using this. (Actual values, equations, and drawings)

3. Electromagnetic waves from a radio station pass through an open window of a house. The square window has side length 0.75 m and the waves pass through perpendicular to the window's area. The electric field is measured at the window and found to be 0.02 V/m. In air, we can use the vacuum permeability = 4 x 10-7 H/m. (i) What is the magnitude of the Poynting vector, S, for the radio waves passing through the window? (ii) How much energy do the radio waves carry through the window during a 2-minute-long broadcast of BBC Radio 4's shipping forecast? [Hint: think of the units of S [units = (J/s)/m²] and Energy [units = J].