光學 CH04

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光學CH04練習題

Problem 1

For a harmonic wave given by \(y=(10cm)sin[(628.3/cm)x-(6283/s)t]\) . Determine (a) wavelength; (b) frequency; (c) propagation constant; (d) angular frequency; (e) period; (f) velocity; (g) amplitude. (07小題)

(a)wavelength=______cm
可嘗試次數(no. of submission)= 3

01

(b)frequency=______Hz
可嘗試次數(no. of submission)= 3

02

(c)propagation constant=______/cm
可嘗試次數(no. of submission)= 3

03

(d)angular frequency=______/s
可嘗試次數(no. of submission)= 3

04

(e)period=______s
可嘗試次數(no. of submission)= 3

05

(f)velocity=______cm/s
可嘗試次數(no. of submission)= 3

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(g)amplitude=______cm
可嘗試次數(no. of submission)= 3

07

Problem 2

The energy flow to the earth’s surface associated with sunlight is about \(1.0kW/m^2\). Find the maximum values of E and B for a wave of this power density. (01小題)

\(B_0\)=_____T
可嘗試次數(no. of submission)= 3

08

Problem 3

A light wave is traveling in glass of index 1.50. If the electric field amplitude of the wave is known to be 100 V/m., find (a) the amplitude of the magnetic field and (b) the average magnitude of the Poynting vector. (02小題)

(a)B=______T
可嘗試次數(no. of submission)= 3

09

(b)\(\lt S \gt\)=______\(W/m^2\)
可嘗試次數(no. of submission)= 3

10

Problem 4

(a)The light from a 220W lamp spreads uniformly in all directions. Find the irradiance of these optical electromagnetic waves and the amplitude of their \(\vec{E}\)-field at a distance of 10m from the lamp. Assume that 5% of the lamp energy is converted to light.

(b)Suppose a 2000W laser beam is concentrated by a lens into a cross-sectional area of about \(1*10^{-6}cm^2\) . Find the corresponding irradiance and amplitudes of the \(\vec{E}\)- and \(\vec{B}\)-field there.

(a)\(E_0\)=_____V/m
可嘗試次數(no. of submission)= 3

11

(b)\(E_0\)=_____V/m
可嘗試次數(no. of submission)= 3

12

\(B_0\)=_____T
可嘗試次數(no. of submission)= 3

13

Problem 5

How fast does one have to approach a red traffic light to see a green signal? So that we all get the same answer, say that a good red is 640nm and a good green is 540nm. (01小題)

v=______c
可嘗試次數(no. of submission)= 3

14

Problem 6

A quasar near the limit of the observed universe to date shows a wavelength that is 4.80 times the wavelength emitted by the same molecules on the earth. If the Doppler effect is responsible for this shift, what velocity does it determine for the quasar? (01小題)

v=______c
可嘗試次數(no. of submission)= 3

15

Problem 7

Estimate the Doppler broadening of the 706.52-nm line of helium when the gas is at 1000 K. Use the root-mean-square velocity of a gas molecule given by

\(v_{rms}=\sqrt{\frac{3RT}{M}}\)

where R is the gas constant, T the Kelvin temperature, and M the molecular weight.

\(R=8.31J/mol \cdot K\)

The dopplee width=______nm
可嘗試次數(no. of submission)= 3

16

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