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  4. The Sun emits a light with maximum wavelength 510 nm while another star x emits a light with maximum wavelength of 350 nm. What is the ratio of surface temperature of the Sun and the star x ?

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Q. The Sun emits a light with maximum wavelength $510\, nm$ while another star $x$ emits a light with maximum wavelength of $350\, nm$. What is the ratio of surface temperature of the Sun and the star $x$ ?

AIIMSAIIMS 2000Thermal Properties of Matter

Solution:

From Wien displacement Law,
$\lambda_{m}T \cong$ constant
$\therefore 510\times T_{sun}=350\times T_{star}$ or $\frac{T_{sun}}{T_{star}}=\frac{350}{510}=0.68$