The maximum wavelength of radiation emitted at $2000\;K$ is $4\;\mu m$. What will be the maximum wavelength of radiation emitted at $2400\;K$?

The wavelength of maximum emitted energy of a body at $700 \ K$ is $4.08 \ \mu m$. If the temperature of the body is raised to $1400 \ K$,the wavelength of maximum emitted energy will be ........ $\mu m$.

$A$ black body has a maximum wavelength of $\lambda_m$ at a temperature of $2000 \ K$. What will be the maximum wavelength at a temperature of $3000 \ K$?

The surface temperature of the stars is determined using:

$A$ black body at a temperature of $1640 \ K$ has the wavelength corresponding to maximum emission equal to $1.75 \ \mu m$. Assuming the moon to be a perfectly black body,the temperature of the moon,if the wavelength corresponding to maximum emission is $14.35 \ \mu m$,is ...... $K$.

What will be the ratio of temperatures of the sun and the moon if the wavelengths corresponding to their maximum emission radiation rates are $140 \mathring{A}$ and $4200 \mathring{A}$ respectively?