Question

(3) Planck's Law (10 points) Consider Plank's Law for an ideal black body, shown at right: You have a microwave radiometer that measures Brightness Temperature at a microwave frequency of 1GHz = 1x10$^9$ Hz $\frac{2hv^3}{c^2}\frac{1}{e^{\frac{hv}{kT}}-1}$ h Planck constant 6.626x10$^{-34}$J second k Boltzmann constant 1.38x10$^{-23}$ JK$^{-1}$ c the speed of light 3.0 x10$^8$ m/second (a) As measured by the radiometer, what is the brightness temperature of a Black Body at a physical temperature of 300K? (b) Consider that while scanning the target in (a), the radiometer measures an area with brightness temperature of 260 K. What is the emissivity of the observed area?

          (3) Planck's Law (10 points)
Consider Plank's Law for an ideal
black body, shown at right:
You have a microwave radiometer
that measures Brightness
Temperature at a microwave
frequency of 1GHz = 1x10$^9$ Hz
$\frac{2hv^3}{c^2}\frac{1}{e^{\frac{hv}{kT}}-1}$
h Planck constant 6.626x10$^{-34}$J second
k Boltzmann constant 1.38x10$^{-23}$ JK$^{-1}$
c the speed of light 3.0 x10$^8$ m/second
(a) As measured by the radiometer, what is the brightness temperature of a
Black Body at a physical temperature of 300K?
(b) Consider that while scanning the target in (a), the radiometer measures an
area with brightness temperature of 260 K. What is the emissivity of the
observed area?

(3) Planck's Law (10 points)
Consider Plank's Law for an ideal
black body, shown at right:
You have a microwave radiometer
that measures Brightness
Temperature at a microwave
frequency of 1GHz = 1x10^9 Hz
(2hv^3)/(c^2)(1)/(e^(hv)/(kT)-1)
h Planck constant 6.626x10^-34J second
k Boltzmann constant 1.38x10^-23 JK^-1
c the speed of light 3.0 x10^8 m/second
(a) As measured by the radiometer, what is the brightness temperature of a
Black Body at a physical temperature of 300K?
(b) Consider that while scanning the target in (a), the radiometer measures an
area with brightness temperature of 260 K. What is the emissivity of the
observed area?

Added by Rodrigo H.

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