A tungsten filament is modeled as a perfect emitter

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

A tungsten filament is modeled as a perfect emitter. Its measured radiant power is

60.0 \pm 1.2\,\text{W}

, and its radius is

0.400 \pm 0.008\,\text{mm}

. Treat the two uncertainties as independent and small. Using

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

and

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

, what is the approximate percent uncertainty in the predicted peak-emission wavelength of the filament? (a)

1.1\%

(b)

6.0\%

(c)

1.5\%

(d)

4.5\%