The wavelength of maximum intensity of radiation emitted by a star is 289.8 ~nm . The radiation intensity of the star is (Stefan's constant =5.67 10⁻⁸ Wm ^2 ~K ⁻⁴ , constant b=2898 mK )

Step-by-step solution

_m=289.8 ~nm =289.8 10⁻⁹ ~m From Wein's law, aligned & _m T=b (constant) & Temperature of star, T= b _m = 2898 10⁻⁶ 289.8 10⁻⁹ & = 2898 10⁻⁶ 2898 10⁻¹⁰ & =10^4 ~K & Radiation intensity E= T^4 & =5.67 10⁻⁸ (10^4 )^4 & =5.67 10⁻⁸ 10¹⁶ & =5.67 10^8 ~W / m ^2 & aligned