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Two closely spaced
(b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
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Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
- A metal with body centered cubic (bcc) structure show the first (i.e. smallest angle) diffraction peak at a Bragg angle of 0 = 30°. The wavelength of X-ray used is 2.1 Å. The volume of the PRIMITIVE unit cell of the metal is (a) 26.2 (Å)³ (b) 13.1(Á)³ (c) 9.3 (Á)³ (d) 4.6 (Ấ)³arrow_forwardAn oil drop of volume 0.2 c.c. is dropped on the surface of a tank of water of area 1 sq. meter. The film spreads uniformly over the surface and white light which is incident normally is observed through a spectrometer. The spectrum is seen to contain one dark band whose centre has wavelength 5.5 x 10 cm in air. Find the refractive index of. Moil.arrow_forwardMonochromatic X-rays are incident on a crystal. The first-order Bragg peak is observed when the angle of incidence is 34.0°. The crystal spacing is known to be 0.347 nm. What is the wavelength of the X rays?arrow_forward
- White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffracted light is then focused via a lens of focal length ƒ = +75 mm onto a detector. The lens and detector are aligned so that the first-order diffracted light at 550 nm is co-axial with the lens and focuses onto the centre of the detector. The hydrogen atom can emit two spectral lines (called Ha, Hẞ) at respective wavelengths 656 nm and 486 nm. Calculate the separation on the detector between the first-order diffracted light of these latter two wavelengths.arrow_forwardX-rays of wavelength equal to 0.134 nm give a first order diffraction from the surface of a crystal when the value of 0(theta) is 10.5°. Calculate the distance between the planes in the crystal parallel to the surface examined. Should correct with full explanation. (Gpt/Ai wrong answer not allowed)arrow_forwardX - rays of wavelength 0.140 nm are reflected from a certain crystal, and the first - order maximum occurs at an angle of 14.4°. What value does this give for the interplanar spacing of the crystal?arrow_forward
- When a diffraction pattern of a crystalline solid is recorded using an X-ray beam of wavelength 0.26 nm, the first order diffraction peak occurs at a scattering angle of 35°. If the error in the measurements of angle and wayelength are 1° and 0.01 nm respectively, then determine the error in measuring the interplanar spacing. (a) 22.86 nm (b) 32.38 nm (c) 15.2 nm (d) 13.2 nmarrow_forwardIn the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.820 nm makes an angle θ = 62.3˚ with the top face of the crystal. What is the unit cell size a0?arrow_forwardAn X-ray beam of a wavelength 0.15 nm is incident on an NaCl crystal, at 25° to reflecting planes of the crystal. If the first order reflections occurred in the spectrum, find the spacing of the reflecting planes of the crystal. (а) 0.18 pm (b) 0.35 nm (c) 0.18 nm (d) 0.35 pmarrow_forward
- How many modes can exist in a spherical cavity of diameter 4.0 cm if illuminated by light with a central wavelength of 500 nm with a spectral spread of 0.10 nm?arrow_forwardX-ray diffraction analysis (using a Cu anode) of a specimen with a known cubic crystal structure reveals that the peak generated as a result of reflection from the (110) plane occurs at a 20=32°. Determine the unit cell volume of this materialarrow_forwardWhite light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffraction is then focused via a lens of focal length f = +75 mm onto a sensor. The lens and sensor are aligned so that the first-order diffracted light at 550 nm is co-axial with the lens and focuses onto the centre of the sensor. The hydrogen atom can emit two spectral lines at wavelengths Hα = 656 nm and Hβ = 486 nm.Calculate the separation on the sensor between the first-order diffracted light of the latter two wavelengths.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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