An isolated star radiates total power and has radius

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An isolated star radiates total power

P = 3.8\times10^{26}\,\text{W}

and has radius

R = 7.0\times10^{8}\,\text{m}

. Constants:

\sigma = 5.67\times10^{-8}\,\text{W}\,\text{m}^{-2}\,\text{K}^{-4}

b = 2.90\times10^{-3}\,\text{m}\,\text{K}

. What is the star’s peak-emission wavelength? (a)

3.5\times10^{-7}\,\text{m}

(b)

1.6\times10^{-6}\,\text{m}

(c)

5.0\times10^{-7}\,\text{m}

(d)

7.1\times10^{-7}\,\text{m}