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Thermal Properties Of Matter

Question
CBSEENPH11026267

The surface temperature of the sun which has maximum energy emission at 500 nm is 6000 K. The temperature of a star which has maximum energy emission at 400 nm will be

  • 8500 K

  • 4500 K

  • 7500 k

  • 6500 K

Solution

C.

7500 k

Wein's displacement law:- Relationship between the temperature of a black body ( an ideal substance that emits and absorbs all frequencies of light) and the wavelength at which it emits the most light.

            λm T = Constant

By using Wein's Displacement law,

         λm 1 T1 = λm 2 T2

⇒     500 × 6000 = 400 × T2

⇒     T2500 × 6000400

⇒      T2 = 7500 K