The light shining on a diffraction grating has a wavelength of 481 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.59°. How many lines per centimeter does the grating have?
Solution)
We know,
m λ = d sinθ
So,
d = m λ / sinθ = 2 * 481 nm /sin 8.59 = 6440.69nm = 0.0006440 cm perline
Now,
The number of lines per cm is the inverse -
Hence,
1 / 0.0006440 cm per line =1552.79 lines per cm
==============
The light shining on a diffraction grating has a wavelength of 481 nm (in vacuum). The...
The light shining on a diffraction grating has a wavelength of 485 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.09°. How many lines per centimeter does the grating have?
The light shining on a diffraction grating has a wavelength of 495 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 9.34. How many lines per centimeter does the grating have?
If a diffraction grating produces a third-order bright spot for red light of wavelength 700 nm, at 65° from the central maximum at what angle will the second order bright spot be for violet light of wavelength 400 nm? How many lines per mm on this grating? If a diffraction grating produces a third-order bright spot for red light of wavelength 700 nm, at 65° from the central maximum at what angle will the second order bright spot be for...
Light of wavelength 429 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 × 10-5 m. The distance between the grating and the viewing screen is 0.10 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second-order bright fringe. (Hint: The diffraction angles are small enough that...
Light of wavelength 385 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 × 10-5 m. The distance between the grating and the viewing screen is 0.18 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second-order bright fringe. (Hint: The diffraction angles are small enough that...
Light of wavelength 590 nm illuminates a diffraction grating. The second-order maximum is at angle 40.5 How many lines per millimeter does this grating have?
Light of wavelength 600 nm illuminates a diffraction grating. The second-order maximum is at angle 38.7 ∘. How many lines per millimeter does this grating have?
For a wavelength of 490 nm, a diffraction grating produces a bright fringe at an angle of 26°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 36°. In both cases the bright fringes are of the same order m. What is the unknown wavelength? Bright fringe m (unknown wavelength) Bright fringe m (known wavelength) Central bright fringe (m- 0) Bright fringe m (known wavelength) Bright fringe m (unknown wavelength) Diffraction grating Screen
In a Young's double-slit experiment the wavelength of light used is 481 nm (in vacuum), and the separation between the slits is 1.9 × 10-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2. To 3 significant figures.
3. (10 points) In a particular diffraction grating pattern, the red component (700 nm) in the second-order maximum is deviated at an angle of 26. a) How many lines per centimeter does the grating have? HE r yo he Г у will DIF deoslgby b) If the grating is illuminated with white light, how many maxima of the complete visible spectrum would be produced? White light ranges from 700 nm to 400 nm