Consider two EM waves of the same frequency. One (f1) has three times the amplitude of the other (f2). What is the ratio of the energies contained within the waves? Express your answer as a ration, i.e., 5/2, 6/1, etc.
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Consider two EM waves of the same frequency. One (f1) has three times the amplitude of the other (f2). What is the ratio of the energies contained within the waves? Express your answer as a ration, i.e., 5/2, 6/1, etc.
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- High-Energy Cancer Treatment. Scientists are working on a new technique to kill cancer cells by zapping them with ultrahighenergy (in the range of 1012 W) pulses of light that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk 5.0 um in diameter, with the pulse lasting for 4.0 ns with an average power of 2.0 * 1012 W. We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse. (a) How much energy is given to the cell during this pulse? (b) What is the intensity (in W/m2) delivered to the cell? (c) What are the maximum values of the electric and magnetic fields in the pulse?Q1(A). Prove using step-by-step solution that f(v) = E/h is equal to 1.80x1015 Hz, therefore λ = C/f is equal to 254nm. Q1(B). Refer to the visible light spectrum to determine what region of EM radiation does this light fall? Q1(C). Show step-by step solution to integrate the velocity function if the initial position of the particle is s(0) = 9. Find the particle position at: (1) t = 1 sec ; (2) t = 5 secTwo different kinds of traveling waves 1 and 2 are described by the wave functions shown. Note: these aren't EM waves, and they aren't necessarily traveling in the same medium or made of the same material. First, fill in the blanks with appropriate Sl units in the expressions where they are missing below. y; (x, 1) = 2m sin(2 x - 1 1) y2(x, 1) = 4m sin(1 x - 2 ) a) What are the wavelengths of each wave? b) Which wave has a larger amplitude? c) Which wave function describes the wave with the higher speed? How fast is it traveling? d) (This question is about EM waves, and not the waves above...) A red light has a wavelength of about 650 nm, while a green light has a wavelength of about 550 nm. They both travel at the same speed (the speed of light). Which light has a higher frequency?
- High-Energy Cancer Treatment. Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 1012 W) pulses of light that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk in 3 mm diameter, with the pulse lasting for 7 ns with an average power of 7.4 x10¹2 W. We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse. How much energy is given to the cell during this pulse? (answer in 2 decimal places and in MegaJoule (MJ)) m, = 4px 107T. m/ A c = 3 x 108 m/s e 8.85 x 10-¹2 C²/Nm²Cosmic rays are highly energetic particles travelling through space. How fast must a cosmic ray proton be travelling to have a de Broglie wavelength of 10 fm (femtometre)? Express your answer as a percentage of the speed of light, c.Electrons are ejected from a metallic surface with speeds ranging up to 4.1 × 105 m/s when light with a wavelength of 630nm is used. What is the cutoff frequency for this surface? Express your answer in terms of 1014 Hz and round it to the nearest hundredth. For example, if you get 1.234 x 1014 Hz, you type in 1.23. (Hint: you should first calculate the work function of the surface.) Use h=6.626x1034 Js; c=3 x108 m/s. ; me=9.11x10-31kg Js; c=3 x108 m/s. ; me=9.11x1031kg
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- The photoelectric effect is when light knocks electrons off the surface of a material. If you're shinning light on a surface and electrons are being knocked off, what could you change about the light so that it would stop knocking electron off? O Reduce the frequency of the light. O Increase the amplitude/intensity of the light. O Increase the frequency of the light. O Reduce thc wavelength of the light.Q.1 Find the dispersion relation for electrostatic electron waves propagating at an arbitrary angle 0 relative to B,. Hint: Choose the x axis so that k and E lie in the x - z plane. Then Ex = E,sin0, E, = E,cos0,Ey = 0 and similarly, for k. Solve the equations of motion and continuity and Poisson's equation in the usual way with no uniform and v, = Eo = 0.Last July 23, 2020, China launched its Tianwen-1 space mission to bring their rover, named Zhurong, to Mars. Zhurong landed on Mars on May 14, 2021. Mars moves at 27 km/s with respect to Earth. If an Earth-based observer shines a laser at Zhurong and is reflected back to Earth, the Earth-based observer will measure the speed of the reflected beam to be O C O c + (27000 m/s) O c (27000 m/s) O c/ (27000 m/s)