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 $0.6110 \mathrm {~nm}$ , what is the kinetic energy of the recoiling electron? $\left( m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right.$ , $\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

A) $1.9 \times 10 ^ { - 18 } \mathrm {~J}$
B) $4.3 \times 10 ^ { - 18 } \mathrm {~J}$
C) $3.1 \times 10 ^ { - 18 } \mathrm {~J}$
D) $1.5 \times 10 ^ { - 18 } \mathrm {~J}$
E) $5.2 \times 10 ^ { - 18 } \mathrm {~J}$