A Certain Photon, After Being Scattered from a Free Electron $120 ^ { \circ }$

Multiple Choice

A certain photon, after being scattered from a free electron that was at rest, moves at an angle of $120 ^ { \circ }$ with respect to the incident direction. If the wavelength of the incident photon is $0.591 \mathrm {~nm}$ , what is the energy of the scattered photon? (melectron $= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ , $h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

A) $4.21 \times 10 ^ { - 16 } \mathrm {~J}$
B) $1.05 \times 10 ^ { - 16 } \mathrm {~J}$
C) $5.71 \times 10 ^ { - 16 } \mathrm {~J}$
D) $2.10 \times 10 ^ { - 16 } \mathrm {~J}$
E) $3.34 \times 10 ^ { - 16 } \mathrm {~J}$