A spherical tungsten filament of radius behaves like a blackbody

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

Problem

A spherical tungsten filament of radius

0.50\,\text{mm}

behaves like a blackbody. Its emission spectrum peaks at a wavelength of

1.0\,\mu\text{m}

. Taking

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

and

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

, calculate the total power it radiates. (a)

6.3\,\text{W}

(b)

3.2\,\text{W}

(c)

13\,\text{W}

(d)

50\,\text{W}