A small table of sin values is presented below for several values of (measured i
ID: 1999081 • Letter: A
Question
A small table of sin values is presented below for several values of (measured in degrees).
0 15 30 45 60 75 90
sin 0.0000 0.2588 0.5000 0.7071 0.8660 0.9659 1.0000
1.) The distance d between adjacent lines (or grooves) is equal to the reciprocal of the number of lines (grooves) per unit length. For example, the value of d for the grating with 600 grooves per millimeter is 1.67 x 10-6 meter. Determine the value for d for a grating with 900 grooves per millimeter.
a.) 9.16 x 10-6 meter
b.) 8.16 x 10-6 meter
c.) 5.23 x 10-7 meter
d.) 1.11 x 10-6 meter
Answer __________
2.) Red light, = 680 nanometers (680 x 10-9 meter), passing through a diffraction grating, such that the first order maximum (m = 1) is diffracted thru an angle = 45 o , Determine the distance between grooves for this grating
a.) 9.61 x 10-7 meter
b.) 6.43 x 10-7 meter
c.) 3.81 x 10-7 meter
d.) 5.47 x 10-6 meter
Answer __________
3.) Determine the wavelength () of the light diffracted such that the first order maximum (m=1)is diffracted at an angle = 15o and the grating spacing is 1.67 x 10-6 meter.
a.) 5.28 x 10-7 meter
b.) 7.18 x 10-7 meter
c.) 2.53 x 10-7 meter
d.) 4.32 x 10-7 meter
Answer __________
4.) The transmission of electromagnetic energy through the atmosphere can be briefly summarized
a.) as the atmosphere is opaque to all wavelengths of the electromagnetic spectrum
b.) as the atmosphere is transparent to all wavelengths of the electromagnetic spectrum
c.) as the atmosphere blocks visible light from the Sun
d.) as the atmosphere transmits visible, some infrared and some radio wavelengths
Answer __________
5.) A photon with energy equal to 5.5 x 10-19 is emitted from an atom. Determine the
wavelength ( = hc/energy) of the photon.
a.) 3.6 x 10-7 meter
b.) 8.2 x 10-8 meter
c.) 4.1 x 10-7 meter
d.) 6.2 x 10-7 meter
Answer __________
6.) The wavelength of a particular photon is 579.1 nanometers. Determine the frequency for this photon.
a.) 1.89 x 1015 Hertz
b.) 5.18 x 1014 Hertz
c.) 3.67 x 1015 Hertz
d.) 7.12 x 1014 Hertz
Answer __________
7.) The central temperature of the Sun is theoretically estimated about 15,000,000 K. The temperature of the layer of gas that produces the visible electromagnetic radiation of the Sun is approximately
a.) 15,000,000 K
b.) 1,000,000 K
c.) 300,000 K
d.) 6000 K
Answer __________
8.) Consider two stars with equal luminosity; Star A is 4 times further from earth than Star B. Therefore,
a.) the intensity of light from Star A is 8 times greater than the intensity of light from Star B.
b.) the intensity of light from Star A is 20 times greater than the intensity of light from Star B.
c.) the intensity of light from Star A is 8 times less than the intensity of light from Star B.
d.) the intensity of light from Star A is 16 times less than the intensity of light from Star B.
Answer __________
9) If an object emitted a radiation spectrum with a peak wavelength of 700 nanometers, then one could conclude that its surface temperature was
a.) greater than 12,000 K
b.) greater than 6,000 K but less than 12,000 K
c.) greater than 3,000 K but less than 6,000 K
d.) less than 3,000 K
Answer __________
10.) Star A has a wavelength of peak emission that is 100 nm less than the wavelength of peak emission for Star B. Therefore,
a.) the surface temperature of Star A is higher than Star B
b.) the surface temperature of Star A is equal to Star B
c.) the surface temperature of Star A is lower than Star B
d.) the surface temperature of Star A is NOT lower than or higher than Star B
Answer __________
11.) Consider two blackbody radiators, A and B, with temperatures TA and TB. TB is more than TA. Therefore, the peak wavelength for A is
a.) less than the peak wavelength for B
b.) equal to the peak wavelength for B
c.) greater than the peak wavelength for B
d.) unknowable in relation to the peak wavelength for B
Answer __________
12.) The cosmic microwave background is important mostly because;
a.) it showed that the universe is closed.
b.) it confirmed a prediction of the Big Bang Theory.
c.) it showed that the universe is open.
Explanation / Answer
1) number of gratings in 1 m =900*1000 = 0.9e6 grooves per meter
slit width = d = 1/0.9e6
= 1.11*10^-6 m answer
option D
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