Answer:
65 Hz, 95 Hz, 150 Hz, 180 Hz, 310 Hz, 340 Hz
Explanation:
Given :
Frequencies of the sinusoids,
, and
Sampling rate
The positive frequencies at the output of the sampling system are :
When n = 0,
when n = 1,
When n = 2,
Therefore, the first six positive frequencies present in the replicated spectrum are :
65 Hz, 95 Hz, 150 Hz, 180 Hz, 310 Hz, 340 Hz
(1) The critical angles for the fused quartz is 44⁰,
(2) The critical angles for the polystyrene is 39⁰.
(3) The critical angles for the sodium chloride is 41⁰.
<h3>What is Critical angles?</h3>In optics, the critical angle is the topmost angle at which a shaft of light traveling in one transparent medium can strike the boundary between that medium and another with a lower refractive indicator without being fully reflected within the first
Critical angles for the different medium.
θ
where;
is the refractive index of air = 1
is the refractive index of the given substances.
Refractive index of quartz glass = 1.46
Refractive index of polystyrene = 1.59
Refractive index of sodium chloride = 1.54
Critical angles for quartz glass:
Critical angles for polystyrene
Critical angles for Sodium Chloride
Thus, the critical angles for the quartz glass is 44⁰, the critical angles for the polystyrene is 39 ⁰ and the critical angles for the sodium chloride is 41⁰.
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I understand that the question you are looking for is:
"For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
(a) Fused Quartz
(b) Polystyrene
(c) Sodium chloride"