Calculate the number of photons per cubic meter

Reference no: EM131019946

Number of photons in a photon gas.

(a) Show that the number of photons in equilibrium in a box of volume V at temperature T is

N = 8ΠV(kT/hc)³ ∫₀^∞(x²/e^x - 1) dx.

The integral cannot be done analytically; either look it up in a table or evaluate it numerically.

(b) How does this result compare to the formula derived in the text for the entropy of a photon gas (What is the entropy per photon, in terms of k?)

(c) Calculate the number of photons per cubic meter at the following temperatures: 300 K; 1500 K (a typical kiln); 2.73 K (the cosmic background radiation )

Reference no: EM131019946

Questions Cloud

Find two points that define latus rectum : Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (0,-10).

What is the quantity demanded by domestic consumers : What is the quantity supplied by domestic producers after the introduction of the tariff? What is the quantity demanded by domestic consumers after the introduction of the tariff? How many MP3 players will the country import or export after the intro..

Noninverting amplifier to obtain a gain : Design a circuit based on the topology of the noninverting amplifier to obtain a gain of +1.5 V/V, using only 10-kΩ resistors. Note that there are two possibilities. Which of these can be easily converted to have a gain of either +1.0 V/V or +2...

Find the center transverse axis vertices and asymptotes : Find the center, transverse, axis, vertices, foci and asymptotes. Graph the equation y2-x2=100. Find the equation of hyperbola. Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4). Write the equation of hyperbola and show the graph.

Calculate the number of photons per cubic meter : Calculate the number of photons per cubic meter at the following temperatures: 300 K; 1500 K (a typical kiln); 2.73 K (the cosmic background radiation )

Implement designs for the closed-loop gains : Given an ideal op amp to implement designs for the following closed-loop gains, what values of resistors (R1, R2) should be used? Where possible, use at least one 10-kΩ resistor as the smallest resistor in your design.

Difference between two signals : In an instrumentation system, there is a need to take the difference between two signals, one of v1 = 2sin(2π × 60t) + 0.01 sin(2π × 1000t) volts and another of v2 = 2sin(2π ×60t)-0.01 sin(2π ×1000t) volts.

Problem regarding the ideal op amps and resistors : Use two ideal op amps and resistors to implement the Vo = v1 +2v2 - 3v3 - 5v4 In each case find the input resistance seen by each of the signal sources supplying v1, v2, v3, and v4.

Sketch the output signal waveform : Give a circuit, complete with component values, for a weighted summer that shifts the dc level of a sine-wave signal of 3 sin(ωt) V from zero to -3 V. Assume that in addition to the sine-wave signal you have a dc reference voltage of 1.5 V availabl..

User Account

All Pages