The light from the sun is found to have a maximum intensity near the wave length of 470nm assuming the surface of the sun as a black body,the temperature of the sun is....
Read about and apply the Wien displacement law.
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/wien.html
To determine the temperature of the Sun assuming it behaves as a black body, we can use Wien's displacement law. This law states that the wavelength at which the intensity is maximum is inversely proportional to the temperature of the black body.
In this case, the maximum intensity of light from the Sun is observed at a wavelength of 470 nm (nanometers). We can convert this wavelength to meters by dividing by 1 billion (1 nm = 1 × 10^(-9) m).
So, the wavelength in meters would be:
470 nm ÷ (1 × 10^(-9) m/nm) = 470 × 10^(-9) m or 4.7 × 10^(-7) m.
Now, we can use Wien's displacement law. The formula is:
λ(max) = (b / T)
Where:
λ(max) = wavelength at which intensity is maximum
b = Wien's displacement constant (approximately 2.898 × 10^(-3) m∙K)
T = temperature of the black body
Rearranging the formula to solve for T, we get:
T = (b / λ(max))
Substituting the values we have:
T = (2.898 × 10^(-3) m∙K) / (4.7 × 10^(-7) m)
T = 6163 K
Therefore, the temperature of the Sun, assuming it behaves as a black body, is approximately 6163 Kelvin.