Consider the blackbody radiation emitted at a temperature of 500◦C. (i) Explain why a tungsten wire...

Consider the blackbody radiation emitted at a temperature of
500◦C.
(i) Explain why a tungsten wire in an old-fashioned light-bulb starts
to glow as it becomes sufficiently hot.

(ii) Calculate the percentage pressure increase of the blackbody
radiation if the temperature is raised to 550◦C.

An electron escapes the hot tungsten wire and is subsequently
trapped in a one-dimensional square quantum well. The potential
outside the well can be approximated as infinite.

(iii) Sketch the probability distribution of the electron within the
square well for the n = 2 quantum state.

(iv) The electron energy for the n = 2 state is 10.0 eV. Calculate the
width of the well.

Solutions

Expert Solution

---------------------------------------

-----------------------------------------------------------

Part -(iii)

---------------------------------------------

Part - (iv)

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

In a machine that temperature changes from 20 ∘C up to 120 ∘C a tungsten wire...

In a machine that temperature changes from 20 ∘C up to 120 ∘C a tungsten wire filament 13.0 cm long with a diameter of 1.20 mm will be used. The wire will carry 11.0 A at all temperatures ( Resistivity of tungsten at 20 ∘C is 5.25×10^−8Ω⋅m , the temperature coefficient of resistivity at 20 ∘C is 0.0045 ∘C^−1 ). A-)Calculate the maximum electric field in this filament? B-)Calculate the resistance of the filament with that field? C-)Calculate the maximum potential drop...

In a machine that temperature changes from 20 ∘C∘C up to 120 ∘C∘C a tungsten wire...

In a machine that temperature changes from 20 ∘C∘C up to 120 ∘C∘C a tungsten wire filament 15.0 cmcm long with a diameter of 1.30 mmmm will be used. The wire will carry 14.0 AA at all temperatures ( Resistivity of tungsten at 20 ∘C∘C is 5.25×10−8Ω⋅m5.25×10−8Ω⋅m , the temperature coefficient of resistivity at 20 ∘C∘C is 0.0045 ∘C−1∘C−1 ) Calculate the maximum electric field in this filament? Calculate the resistance of the filament with that field? Calculate the maximum potential drop over the...

1. Consider a blackbody at temperature T=1000K. (c) This particular blackbody is a hollow cube, whose...

1. Consider a blackbody at temperature T=1000K. (c) This particular blackbody is a hollow cube, whose side measures L meters. Write an expression for the wavelengths of radiation allowed in this blackbody. (d) What is the energy spacing between energy levels of a mode with wavelength λ = 100nm? (e) Calculate the approximate average energy in this mode at temperature T = 10000K (f) What was the (incorrect) assumption in the classical treatment of blackbody radiation? Contrast it to your...

The resistance R of a tungsten wire as a function of temperature can be modeled with...

The resistance R of a tungsten wire as a function of temperature can be modeled with the equation R=R0*[1+α(T-T0 ) whereR0 is the resistance corresponding to temperature T0, and α is the temperaturecoefficient of resistance. Determine R0and α such that the equation will best fit the following data (Use linear regression curve fitting). Take T0 = 20°C. T=[20 100 180 260 340 420 500] R=[500 676 870 1060 1205 1410 1565] After enter below codes it gives an error function...

explain the idea of blackbody radiation, include a discussion of the following topics: • Why is...

explain the idea of blackbody radiation, include a discussion of the following topics: • Why is Planck’s law of radiation important in the history of physics? What are Wien’s law and the Stefan-Boltzmann law, and how are they related to Planck’s law? • How are these laws applied in astrophysics and other areas of science? Give some examples.

Explain the model of blackbody. Present and explain Wien’s and Stefan’s laws regarding the blackbody radiation....

Explain the model of blackbody. Present and explain Wien’s and Stefan’s laws regarding the blackbody radiation. Explain Planck’s hypothesis of energy quanta.

A thin tungsten wire (i.e. a filament) is heated to a given temperature T. In the...

A thin tungsten wire (i.e. a filament) is heated to a given temperature T. In the visible range (i.e. wave length between 0.39µm and 0.77µm), Determine the following for the four cases listed below: (a) the band fraction of emitted radiation energy (b) the blackbody radiation energy emitted The four cases correspond to to following values of T: (i) T=500K (ii) T=1500K (iii)T=2500K (iv) T=3500K The melting temperature of tungsten is 3698K. Show all calculation details.

For the thermal radiation from an ideal blackbody radiator with a surface temperature of 2100 K,...

For the thermal radiation from an ideal blackbody radiator with a surface temperature of 2100 K, let Ic represent the intensity per unit wavelength according to the classical expression for the spectral radiancy and Ip represent the corresponding intensity per unit wavelength according to the Planck expression. What is the ratio Ic/Ip for a wavelength of (a) 400 nm (at the blue end of the visible spectrum) and (b) 210 μm (in the far infrared)? (c) Does the classical expression...

The sun can be treated as a blackbody at temperature 5800 K, and solar radiation between...

The sun can be treated as a blackbody at temperature 5800 K, and solar radiation between the wavelengths 0.35 and 0.70 μm is useful for photosynthesis. (a)What is the wavelength λ1 below which 20% of the solar emission is concentrated? (b) What is the wavelength λ2 above which 20% of the solar emission is concentrated? (b) What fraction of total solar radiation is not useful for photo-synthesis?

A given copper wire has a resistance of 5.10 ? at 20.0°C while a tungsten wire...

A given copper wire has a resistance of 5.10 ? at 20.0°C while a tungsten wire of the same diameter has a resistance of 4.67 ? at 20.0°C. At what temperature will the two wires have the same resistance?

Subjects