Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.

Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.

Similar questions

Two identical sources A and B emit in-phase plane radio waves with frequency 6.87E4 Hz and intensity 1.41E2 W/m2. A detector placed at location P closer to source B than source A detects a constructive interference. What is the intensity of the wave detected by the detector (in W/m2)?
A general expression for the electric field associated with a monochromatic plane wave is E(r,t) = e.Excos(@t-k-r). Give the numerical values of Eo, w, and k (with units, and direction for vector quantities) for the case where the plane wave has a wavelength of 350 nm in vacuum, the refractive index of the medium is n = 1.46, the electric field lies in the yz plane, and the intensity is 2.0 MW/m². Use time in units of s and distance in units of m.
A bulb emits light ranging in wavelength from 1.04E-7 m to 6.04E-7 m. What is the minimum wave vector of the light (in rad/m)?
A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of ug = 2.00 × 106 m/s. Relative to the center, the tangential speed is V₁ = 0.440 x 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 7.380 × 10¹4 Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.) (a) Number (b) Number i Units Units A "T Galaxy ING Earth > UT B
The intensity I of light from an isotropic point source is determined as a function of distance r from the source. The figure gives intensity / versus the inverse square r2 of that distance. The vertical axis scale is set by Is = 223 W/m², and the horizontal axis scale is set by rs2 = 9.8 m2. What is the power of the source? I (W/m²) -² (m²)
Ⓒ Macmillan Learning The speed of a light wave in a certain transparent material is 0.661 times its speed in vacuum, which is 3.00 x 108 m/s. When yellow light with a frequency of 5.23 × 10¹4 Hz passes through this material, what is its wavelength in nanometers? λ = x10 TOOLS nm
Police radar detects the speed of a car (Fig. P38.15) as fol- lows. Microwaves of a precisely known frequency are broad- cast toward the car. The moving car reflects the microwaves with a Doppler shift. The reflected waves are received and combined with an attenuated version of the transmitted wave. Beats occur between the two microwave signals. The beat frequency is measured. (a) For an electromagnetic wave reflected back to its source from a mirror approaching at speed 2, show that the reflected wave has frequency :+ v where fis the source frequency. (b) Noting that v is much less than c, show that the beat frequency can be written as feat 2v/A. (c) What beat frequency is measured for a car speed of 30.0 m/s if the microwaves have frequency 10.0 GHz? (d) If the beat frequency measurement in part (c) is accurate to +5.0 Hz, how accurate is the speed measurement? %3D SPEED LIMIT 25 YOUR SPEED Figure P38.15 Bbe Bueg o
The wavelength of red helium-neon laser light in air is 632.8 nm. (a) What is its frequency? Hz (b) What is its wavelength in glass that has an index of refraction of 1.62? nm (c) What is its speed in the glass? Mm/s
A 'dispersion relation' relates frequency and wavelength of a harmonic wave. That is, the wavelength of the wave due to a change in its frequency. For electromagnetic waves (e.g. light), the dispersion relation is k : where n is the refractive index. Consider two C harmonic electromagnetic waves of equal amplitude travelling in the same direction in vacuum with wavelengths, 500nm and 505nm. a) Consider if both waves now travel through a material with index, n=1.5. Their frequency remains the same but their wavelength changes due to the new material. Calculate the beat frequency, beat wavenumber (i.e. k), carrier frequency, and carrier wavenumber. b) With the numbers in a), calculate the velocity of the envelope and the velocity of the carrier. c) Consider now if the index varies with the vacuum wavelength, n(500nmn)=1.5214 and n(505nm)=1.5211. (frequency never changes when entering a material). What is the velocity of the carrier and envelope in this case?
For sound waves, the Doppler formula for frequency shift differs slightly between the two situations: (i) source at rest; observer moving.and (ii) source moving; observer at rest. The exact Doppler formulas for the case of light waves in vacuum are, however, strictly identical for these situations. Explain why this should be so. Would you expect the formulas to be strictly identical for the two situations in case of light travelling in a medium?
A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of ug = 2.30 × 106 m/s. Relative to the center, the tangential speed is V₁ = 0.310 × 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 9.296 × 10¹4 Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.) (a) Number (b) Number i 9.21E14 9.23E14 יזע Galaxy Units Hz Units Hz ING Earth די. B
The wavelength of red helium-neon laser light in air is 632.8 nm. (a) What is its frequency? Hz (b) What is its wavelength in glass that has an index of refraction of 1.61? nm (c) What is its speed in the glass? Mm/s