Question

The peak in the emission spectrum of a star occurs at 300 nm, what is the estimated surface temperature in Kelvin? Note: required precision is 2%

Answer 1

Step-by-step explanation:

It is given that peak (maximum) emission of star is 300 nm.

And, it is known that according to Wein's displacement relation between wavelength and temperature is as follows.

`\lambda_(max) * T` = 2898 micrometer.K

Hence, putting the given values into the above formula as follows.

`\lambda_(max) * T` = 2898 micrometer.K

`300 * 10^(-9) m * T` = 2898 \times 10^{-6} meter.K

T =
`(2898000)/(300)` K

= 9660 K

Thus, we can conclude that the estimated surface temperature of star is 9660 K.