Question

Q1: The rms value of the magnetic field in an electromagnetic wave is 3.7 x 10^-5 T. Calculate the maximum value of the electric field in the wave.

Q2: On the day his daughter is born, Jack leaves her on Earth and departs on a spaceship to travel around the universe at a constant speed of 0.94c. He returns to Earth on the day of his daughter's 12th birthday. Calculate the duration of the trip as measured by Jack.

Q3: A cordless telephone operates at a frequency of 5.8 x 10⁹ Hz. Calculate the wavelength of the EM waves emitted by the phone.

Q4: A spaceship travels to Planet X at 0.92c. As measured by the crew of the ship, the distance from Earth to Planet X is 10.4 light years. Calculate the distance between Earth and Planet X as measured on Earth.

Answer 1

ms Qol Brms = 3.8x1067 ; Peak value of magnectic field is, Bo = V2 Boms Since, To = OT, Eo = CB. 08, Eo = V2 C Brms to = V2 X3x108x 3.6x10-6 N/ = 1.56x104 NC Q-2 True time To = 12 yrs Speed of Jack's Spaceship , v=0.ghe Duration of the trip'as measured by Jack is T = To V7-1762 = _12 yos VI - (0.94)2 = 35.17 yos Q-3 for an EM Wave, Wave length (a) is a= = 3x100 m = 0.0517 m 5.8x109