A Laser Produces a Beam Of $4000 - \mathrm { nm }$

Multiple Choice

A laser produces a beam of $4000 - \mathrm { nm }$ light. A shutter allows a pulse of light, $30 \mathrm { ps }$ in duration, to pass through. What is the uncertainty in the energy of a photon in the pulse? $\left( 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right.$ , $h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

A) $2 \times 10 ^ { - 5 } \mathrm { eV }$
B) $2 \times 10 ^ { - 6 } \mathrm { eV }$
C) $2 \times 10 ^ { - 4 } \mathrm { eV }$
D) $2 \times 10 ^ { - 3 } \mathrm { eV }$
E) $2 \times 10 ^ { - 2 } \mathrm { eV }$