5. The colorful photograph below shows vitamin B3 crystals seen through a polarize microscope. Many biological molecules have two possible structural arrangements t mirror images of each other often called left-handed and right-handed molecules. polarized light passes through a sample in which all the molecules are the same, the inte of the light with the asymmetrical molecules causes the plane of polarization to rotat molecules are said to be optically active. If polarized light travels distance d through of active molecules in solution, the plane of polarization rotates through an angle (meas degrees) Ad acd, where e is the concentration in g/L and or is called the specific re Specific rotation is a wavelength-dependent characteristic of the molecule. Naturally occurring fructose is a right-handed sugar, and fructose in solution is of active. The specific rotation of fructose is 0.92°/[m (g/L)] for yellow light with a wave of 580 nm, 1.16°/[m - (g/L)] for green light with a wavelength of 525 nm. Suppose a 2 solution of fructose is placed in a long tube that has windows at each end. Polarizing with perpendicular axes (i.c., crossed polarizers) are placed just outside the windows. light is incident on the polarizing filter at one end while an observer or camera looks t the polarizing filter at the other end. The observer detects no light coming through the polarizers if the tube is empty. But some light is transmitted if the solution rotates the of polarization, and some wavelengths are transmitted better than others. A waveleng maximum brightness if its plane of polarization is rotated by 90°. For what minimu lengths are yellow and green light transmitted through the crossed polarizers with ma

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Question: For what minimum tube lengths are yellow and green light transmitted through the crossed polarizers with maximum intensity? 

5. The colorful photograph below shows vitamin B3 crystals seen through a polarized light
microscope. Many biological molecules have two possible structural arrangements that are
mirror images of each other often called left-handed and right-handed molecules. When
polarized light passes through a sample in which all the molecules are the same, the interaction
of the light with the asymmetrical molecules causes the plane of polarization to rotate. The
molecules are said to be optically active. If polarized light travels distance d through optically
active molecules in solution, the plane of polarization rotates through an angle (measured in
degrees) A = acd, where e is the concentration in g/L and a is called the specific rotation.
Specific rotation is a wavelength-dependent characteristic of the molecule.
Naturally occurring fructose is a right-handed sugar, and fructose in solution is optically
active. The specific rotation of fructose is 0.92°/[m - (g/L)] for yellow light with a wavelength
of 580 nm, 1.16°/[m - (g/L)] for green light with a wavelength of 525 nm. Suppose a 200 g/L
solution of fructose is placed in a long tube that has windows at each end. Polarizing filters
with perpendicular axes (i.c., crossed polarizers) are placed just outside the windows. White
light is incident on the polarizing filter at one end while an observer or camera looks through
the polarizing filter at the other end. The observer detects no light coming through the crossed
polarizers if the tube is empty. But some light is transmitted if the solution rotates the plane
of polarization, and some wavelengths are transmitted better than others. A wavelength has
maximum brightness if its plane of polarization is rotated by 90°. For what minimum tube
lengths are yellow and green light transmitted through the crossed polarizers with maximum
intensity? (Similarly, the different colors in the vitamin B3 photograph correspond to crystals
of different thicknesses.)
Transcribed Image Text:5. The colorful photograph below shows vitamin B3 crystals seen through a polarized light microscope. Many biological molecules have two possible structural arrangements that are mirror images of each other often called left-handed and right-handed molecules. When polarized light passes through a sample in which all the molecules are the same, the interaction of the light with the asymmetrical molecules causes the plane of polarization to rotate. The molecules are said to be optically active. If polarized light travels distance d through optically active molecules in solution, the plane of polarization rotates through an angle (measured in degrees) A = acd, where e is the concentration in g/L and a is called the specific rotation. Specific rotation is a wavelength-dependent characteristic of the molecule. Naturally occurring fructose is a right-handed sugar, and fructose in solution is optically active. The specific rotation of fructose is 0.92°/[m - (g/L)] for yellow light with a wavelength of 580 nm, 1.16°/[m - (g/L)] for green light with a wavelength of 525 nm. Suppose a 200 g/L solution of fructose is placed in a long tube that has windows at each end. Polarizing filters with perpendicular axes (i.c., crossed polarizers) are placed just outside the windows. White light is incident on the polarizing filter at one end while an observer or camera looks through the polarizing filter at the other end. The observer detects no light coming through the crossed polarizers if the tube is empty. But some light is transmitted if the solution rotates the plane of polarization, and some wavelengths are transmitted better than others. A wavelength has maximum brightness if its plane of polarization is rotated by 90°. For what minimum tube lengths are yellow and green light transmitted through the crossed polarizers with maximum intensity? (Similarly, the different colors in the vitamin B3 photograph correspond to crystals of different thicknesses.)
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