According to Planck’s law of blackbody radiation, the spectral energy density is                                 where λ is the wavelength and  = /( B  ). Also,  is absolute temperature, B is the...

According to Planck’s law of blackbody radiation, the spectral energy density is

where λ is the wavelength and
 =
/(

_B

 ). Also,
 is absolute temperature,


_B

is the Boltzmann constant,
 is Planck’s constant, and
 is the speed of light. The energy emitted in the wavelength band λ₁
≤ λ ≤ λ₂
is

In this problem assume
 = 7000 K, so that
 = 2
m. Note that in this case the wavelength λ is measured in
m.

(a) Plot


_d
(λ) for 0.01 ≤ λ ≤ 4.

(b) Using the composite Simpson’s rule, calculate
(0.01, 0.4). Your answer should be correct to at least six significant digits.