Question

A black body has maximum wavelength `lambda_"m"` at temperature 2200 K. wavelength at temperature 3300 K will be ______.

Options

• `2/3lambda_"m"`

• `3/2lambda_"m"`

• `9/4lambda_"m"`

• `4/9lambda_"m"`

Answer 1

A black body has maximum wavelength `lambda_"m"` at temperature 2200 K. wavelength at temperature 3300 K will be `underline (2/3lambda_"m"`.

Explanation:

`lambda_"m"` T = constant

`therefore lambda_"m"/lambda_"m" = "T"/"T'" = 2200/3300 =2/3`

`therefore lambda'_"m" = 2/3 lambda_"m"`