The relationship between temperature and peak wavelength is given by an equation known as wien's law:
λmax = 0.29/t
in this equation:
λ(max)= peak wavelength (cm)
t = temperature (k)
based on your knowledge of proportionality relationships, what is the relationship between temperature and peak wavelength?
o they are directly proportional.
o they are inversely proportional.
o they are exponentially proportional.
o they are unrelated.

O They are inversely proportional.

Explanation:

Wien's displacement law asserts that for the black-body radiation the curve for distinct temperatures will peak at distinct wavelengths are varying inversely proportional to the temperatures.

Wien's Law given as

Where

T=Temperature (In Kelvin unit)

λ(max)= Peak wavelength (In cm unit)

Therefore we can say that wavelength and temperature are inversely proportional.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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