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White light is passed through a diffraction grating that has2.50 × 10 5 lines/m.

ID: 1755172 • Letter: W

Question

White light is passed through a diffraction grating that has2.50 × 105 lines/m. On each side of the whitecentral maximum, a spectrum of colors is observed. What is thewavelength of the light observed at an angle of 7.00° in thefirst-order bright fringes?

a. 632 nm
b. 589 nm
c. 731 nm
d. 487 nm
e. 668 nm White light is passed through a diffraction grating that has2.50 × 105 lines/m. On each side of the whitecentral maximum, a spectrum of colors is observed. What is thewavelength of the light observed at an angle of 7.00° in thefirst-order bright fringes? 632 nm 589 nm 731 nm 487 nm 668 nm

Explanation / Answer

No.of lines   N = 2.50 × 105lines/m angle = 7 degrees grating element   d = 1 / N we know   d sin = from this wavelength = 487.47 nm