help Three discrete spectral lines occur at angles of 11.0 degree, 13.8 degree,
ID: 2253855 • Letter: H
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Three discrete spectral lines occur at angles of 11.0 degree, 13.8 degree, and 14.9 degree in the first-order spectrum of a grating spectrometer. (Assume that the light is incident normally on the gratings.) If the grating has 3 700 slits/cm, what are the wavelengths of the light? (Enter your answers from smallest to largest.) How does the angle of the spectral line depend on the wavelength? nm How does the angle of the spectral line depend on the slit spacing? nm At what angles are these lines found in the second-order spectrum? (Enter your answers from smallest to largest.) Note that you do not need your result from part (a) for this part of the problem. degree Note that you do not need your result from part (a) for this part of the problem. degree Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical and the axis of the second is at 38.0 degree to the vertical. What fraction of the incident light is transmitted?Explanation / Answer
d = 1/3700 cm,
a) use dsin? = ?
?1= (1/3700)sin(11.0) cm = 515 nm
?2= (1/3700)sin(13.8) cm = 644 nm
?3= (1/3700)sin(14.9) cm = 694 nm
b) use dsin? = 2?
for ?1: ? =sin-1(2?1/d) = 22.43o
for?2: ? =sin-1(2?2/d) = 28.49o
for ?3: ? =sin-1(2?3/d) = 30.94o
2)Solution:
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